# Karan S. Surana

School of Engineering - Mechanical Engineering**Primary office**:

Room 3122

#### Research Specialities

Computational Fluid Dynamics Solid Mechanics, Composite Mechanics & Viscoelastic Solids Mathematics of Computations and Finite Element Methods

#### Awards

- Frank Walk Award
- Samuel L. Collier Award
- 75th Anniversary ASME International Petroleum Division Medal
- ASME Fellow

#### Professional Memberships

- American Institute of Aeronautics and Astronautics
- American Society of Mechanical Engineers
- Society of Automotive Engineers
- American Academy of Mechanics
- United States Association of Computational Mechanics

#### Degrees

- 1966B.S., Mechanical Engineering, Birla Institute of Technology & Science, Pilani, Rajasthan, India, 1965
- M.S., Mechanical Engineering (math minor), University of Wisconsin, Madison, Wisconsin, 1966
- Ph.D., Mechanical Engineering (math minor), University of Wisconsin, Madison, Wisconsin, 1970

### Education

Ph.D., Mechanical Engineering, University of Wisconsin Madison

M.S., Mechanical Engineering, University of Wisconsin Madison

B.S., Mechanical Engineering, Birla Institute of Technology & Science

### Research

Computational mathematics and computational mechanics: Mathematics of computations, methods of approximations with emphasis on finite element processes, error estimation, convergence rates and adaptivity. Development of concepts, methodologies, techniques, formulations, algorithms, software systems, and computational methods in different areas of continuum mechanics involving solids, fluids and gases.

Computational solid mechanics, fluid dynamics and gas dynamics: Incompressible Newtonian and generalized Newtonian fluid flows, high speed compressible flows including high pressure, high temperature gas dynamics with real gas models and variable transport properties, flows of polymeric viscoelastic fluids using various constitutive models. Solid mechanics, structural mechanics, composite mechanics and viscoelastic solid mechanics. Delamination, free edge effects, intermedia behavior, damping assessment and damage mechanics in composites. Impact and wave propagation

Continuum mechanics: Mathematical models for multi-physics inter-action processes such as fluid-solid, mixture theories, shape memory materials. Development of constitutive theories

### Research Interests

- Computational mathematics
- Computational mechanics
- Mathematics of computations
- Methods of approximations
- Finite element processes
- Error estimation
- Convergence rates
- Adaptivity
- Continuum mechanics
- Solid mechanics, fluid dynamics
- Gas dynamics
- Multi-physics inter-action
- Constitutive theories

### Selected Publications

Surana, K. Mysore, D. & Reddy, J. N. (2019). Thermodynamic consistency of beam theories in the context of classical and non-classical continuum mechanics and a thermodynamically consistent new formulation. *Continuum Mechanics and Thermodynamics*, https://doi.org/10.1007/s00161-019-00744-8.

Surana, K. S., Nunez, D. Joy, A. D., & Reddy, J. N. (2018). Alternate Forms of Thermodynamic Laws for Thermoelastic Solids and the Constitutive Theories. *Mechanics of Advanced Structures and Materials*, *25*(15-16), 1297-1312. https://doi.org/10.1080/15376494.2016.1218225

Surana, K. Mysore, D. & Reddy, J. N. (2018). Non-classical continuum theories for solid and fluent continua and some applications. *International Journal of Smart and Nano Materials*, https://doi.org/10.1080/19475411.2018.1530700.

Surana, K. S. (2018). *Numerical Methods and Methods of Approximation in Science and Engineering*, CRC Press/Taylor & Francis Group.

Surana, K. Mysore, D. & Reddy, N. (2018). Ordered rate constitutive theories for non-classical thermoviscoelastic solids with dissipation and memory incorporating internal rotations. *Polytechnica*, *1*(1-2), 19-35.

Surana, K. Shanbhag, R. & Reddy, J. N. (2018). Necessity of law of balance of moment of moments in non-classical continuum theories for solid continua. *Meccanica*, *53*(11-12), 2939-2972.

Surana, K. Long, S. W., & Reddy, J. N. (2018). Ordered Rate Constitutive Theories for Non-Classical Thermoviscoelastic Fluids with Internal Rotation Rates. *Applied Mathematics*, *9*(8).

Surana, K. Joy, A. D., & Reddy, J. N. (2018). Ordered rate constitutive theories for thermoviscoelastic solids without memory incorporating internal and Cosserat rotations. *Acta Mechanica*, *229*(8), 3189–3213.

Surana, K. Joy, A. D., & Reddy, J. N. (2018). Ordered rate constitutive theories for non-classical thermoviscoelastic solids with memory incorporating internal and Cosserat rotations. *Continuum Mechanics and Thermodynamics*, https://doi.org/10.1007/s00161-018-0697-8.

Surana, K. Long, S. W., & Reddy, J. N. (2018). Necessity of law of balance/equilibrium of moment of moments in non-classical continuum theories for fluent continua. *Acta Mechanica*, *229*(7), 2801–2833.

Surana, K. Joy, A. D., & Reddy, J. N. (2018). Ordered Rate Constitutive Theories for Non-Classical Thermoviscoelastic Fluids Incorporating Internal and Cosserat Rotation Rates. *International Journal of Applied Mechanics*, *10*(2).

Surana, K. Joy, A. & Reddy, N. (2018). Restrictions on the Material Coefficients in the Constitutive Theories for Non-Classical Viscous Fluent Continua. *Applied Mathematics*, *9*(1), 44-85.

Surana, K. S., & Reddy, J. N. (2017). *The Finite Element Method for Boundary Value Problems : Mathematics and Computations*, CRC Press. 824.

Surana, K. S., & Reddy, J. N. (2017). *The Finite Element Method for Initial Value Problems: Mathematics and Computations*, CRC Press/Taylor & Francis Group.

Surana, S. Joy, D. & Reddy, N. (2017). A Finite Deformation, Finite Strain Non-Classical Internal
Polar Continuum Theory for Solids. *Mechanics of Advanced Materials and Structures, SES-Prager Special Issue*. DOI:15376494.2017.1387327

Surana, S. Joy, D. Kedari, S. Nunez, D. Reddy, N. & Dalkilic, S. (2017). A Nonlinear Constitutive Theory for Deviatoric Cauchy Stress Tensor for Incompressible Viscous Fluids. *Journal of Thermal Engineering*, *3*, 1221-1240.

Surana, S. Joy, D. Kedari, S. Nunez, D. Reddy, N. & Dalkilic, S. (2017). A Nonlinear Constitutive Theory for Heat Conduction in Lagrangian Description Based on Integrity. *Journal of Thermal Engineering*, *3*, 1615-1631.

Surana, S. Joy, D. & Reddy, N. (2017). Non-Classical Continuum Theory for Fluids Incorporating
Internal and Cosserat Rotation Rates. *Continuum Mechanics and Thermodynamics*, *29*(1249-1289).

Surana, S. Joy, D. & Reddy, N. (2017). Non-Classical Continuum Theory for Solids Incorporating
Internal Rotations and Rotations of Cosserat Theories. *Continuum Mechanics and Thermodynamics*, *29*, 665-698.

Surana, S. Joy, D. & Reddy, N. (2016). A Non-Classical Internal Polar Continuum Theory for Finite Deformation and Finite Strain in Solids. *International Journal of Pure and Engineering Mathematics*, *4*, 59-97.

Surana, S. Joy, D. & Reddy, N. (2016). A Non-Classical Internal Polar Continuum Theory for Finite Deformation of Solids Using First Piola-Kirchhoff Stress. *Journal of Pure and Applied Mathematics: Advances and Applications*, *16*, 1-41.

Surana, S. Joy, D. & Reddy, N. (2016). Error Estimations, Error Computations, and Convergence Rates in FEM for BVPs. *Applied Mathematics*, *7*, 1359-1407.

Surana, S. Mohammadi, F. Dalkilic, S. & Reddy, N. (2016). Ordered Rate Constitutive Theories for Non-Classical Internal Polar Thermoviscoelastic Solids Without Memory. *International Journal of Mathematical Science and Engineering Applications*, *10*, 99-131.

Dalkilic, S. Cebi, A. Celen, A. Yildiz, O. Acikgoz, O. Jumpholkul, C. Bayrak, M. Surana, S. & Wongwises, S. (2016). Prediction of Graphite Nanofluids’ Dynamic Viscosity by Means of Artificial Neural Networks. *International Communications in Heat and Mass Transfer*, *73*, 33-42.

Surana, S. Long, W. & Reddy, N. (2016). Rate Constitutive Theories of Orders n and 1n for
Internal Polar Non-Classical Thermofluids without Memory. *Applied Mathematics*, *7*, 2033-2077.

Reddy, J. N., & Surana, K. S. (2016). k-Version of FEM and Unconditionally Stable Computational Processes. *IACM Expressions*, *38*.

Surana, S. Joy, D. & Reddy, N. (2016). *A Non-Classical Internal Polar Continuum Theory for Solids Using First Piola-Kirchhoff Stress Tensor.* *Society of Engineering Science 53rd Annual Technical Meeting*

Surana, K. S., Powell, M. J., & Reddy, J. N. (2015). A More Complete Thermodynamic Framework for Fluent Continua. *Journal of Thermal Engineering*, *1*, 460-475.

Surana, K. S., Powell, M. J., & Reddy, J. N. (2015). A More Complete Thermodynamic Framework for Solid Continua. *Journal of Thermal Engineering*, *1*, 446-459.

Surana, K. S., Reddy, J. N., & Powell, M. J. (2015). A Polar Continuum Theory for Fluent Continua. *International Journal of Engineering Research and Industrial Applications*, *8*(2), 107-146.

Surana, K. S., Reddy, J. N., Nunez, D. & Powell, M. J. (2015). A Polar Continuum Theory for Solid Continua. *International Journal of Engineering Research and Industrial Applications*, *8*(2), 77-106.

Surana, K. S., Powell, M. J., & Reddy, J. N. (2015). Constitutive Theories for Internal Polar Thermoelastic Solid Continua. *Journal of Pure and Applied Mathematics: Advances and Applications*, *14*, 89-150.

Surana, S. Joy, D. Quiros, A. & Reddy, N. (2015). Mathematical Models and Numerical Solutions of Liquid-Solid and Solid-Liquid Phase Change. *Journal of Thermal Engineering*, *1*, 61-98.

Surana, S. Knight, J. & Reddy, N. (2015). Nonlinear Waves in Solid Continua with Finite Deformation. *American Journal of Computational Mathematics*, *5*, 345-386.

Surana, K. S., Powell, M. J., & Reddy, J. N. (2015). Ordered Rate Constitutive Theories for Internal Polar Thermofluids. *International Journal of Mathematical Science and Engineering Applications*, *9*(3), 51-116.

Surana, K. S., Reddy, J. N., & Nunez, D. (2015). Ordered Rate Constitutive Theories for Thermoviscoelastic Solids without Memory in Lagrangian Description using Gibbs Potential. *Continuum Mechanics and Thermodynamics*, *27*, 409-431. DOI:10.1007/s00161-014-0395-0

Surana, S. Moody, T. & Reddy, N. (2015). Rate Constitutive Theories of Order Zero in Lagrangian Description for Thermoelastic Solids. *Mechanics of Advanced Materials and Structures*, *22*, 440-450.

Surana, K. S., Reddy, J. N., & Nunez, D. (2015). Ordered Rate Constitutive Theories for Thermoviscoelastic Solids with Memory in Lagrangian Description using Gibbs Potential. *Continuum Mechanics and Thermodynamics*, *27*, 1019-1038. DOI:10.1007/s00161-014-0395-0

Surana, K. S., Reddy, J. N., & Powell, M. J. (2015). Non-classical Continuum Theories for Solid and Fluent Continua: More Complete Thermodynamic Frameworks. In *Current Trends in Non-Classical Continuum Mechanics* Jaipur, India: MNIT, Jaipur.

Surana, K. S., Reddy, J. N., & Powell, M. J. (2015). Internal Polar Continuum Theories for Solid and Fluent Continua: More Complete Thermodynamic Frameworks. In *Current Trends in Non-Classical Continuum Mechanics* Goa, India: NIT, Goa.

Surana, K. S., Powell, M. J., & Reddy, J. N. (2015). A More Complete Thermodynamic Framework for Fluent Continua. In *Conference on Advances in Mechanical Engineering* Istanbul, Turkey: Yldiz Technical University Press.

Surana, K. S., Powell, M. J., & Reddy, J. N. (2015). A More Complete Thermodynamic Framework for Solid Continua. In *Conference on Advances in Mechanical Engineering* Istanbul, Turkey: Yldiz Technical University Press.

Surana, K. S. (2015). *Advanced Mechanics of Continua*, CRC Press/Taylor & Francis Group. 752.

Surana, K. S., Joy, A. D., Quiros, L. A., & Reddy, J. N. (2014). Mathematical Models and Numerical Solutions of Liquid-Solid and Solid-Liquid Phase Change. *Journal of Thermal Engineering*, *1*(2), 61-98.

Surana, K. S., Blackwell, B. & Reddy, J. N. (2014). Mathematical Models for Fluid-Solid Interaction and their Numerical Solutions. *Journal of Fluids and Structures*, *50*, 184-216.

Surana, K. S., Reddy, J. N., & Nunez, D. (2014). Ordered Rate Constitutive Theories for Thermoviscoelastic Solids without Memory in Lagrangian Description using Gibbs Potential. *Journal of Continuum Mechanics and Thermodynamics*. DOI:10.1007/s00161-014-0366-5

Surana, K. S., Moody, T. & Reddy, J. N. (2014). Ordered Rate Constitutive Theories in Lagrangian Description for Thermoviscoelastic Solids with Memory. *Acta Mechanica*, *226*, 157-178.

Surana, K. S., Moody, T. & Reddy, J. N. (2014). Rate Constitutive Theories of Order Zero in Lagrangian Description for Thermoelastic Solids. *Mechanics of Advanced Materials and Structures*, *22*, 440-450.

Surana, K. S., Reddy, K. P., Joy, A. D., & Reddy, J. N. (2014). Riemann Shock Tube: 1D Normal Shocks in Air, Simulation and Experiments. *International Journal of Computational Fluid Dynamics*, *28*(6-10), 251-271.

Surana, K. S., & Reddy, J. N. (2014). *Interim Progress Report (Submitted to ARO): A new mathematical and computational framework for BVPs and IVPs for solids, liquids and gases and their interactions*.

Surana, K. S., & Reddy, J. N. (2013). A new mathematical and computational framework for BVPs and IVPs for solids, liquids and gases and their interactions. *Technical Report (Project Summary Sheet)Submitted to ARO, *.

Surana, K. S., Hirst, T. & Reddy, J. N. (2013). A Mixture Theory for Isothermal and Non Isothermal Flows on Newtonian Constituents Including Interaction Effects. In *Abstract published in the proceedings of the 12th US Congress on Computational Mechanics (USNCCM-12), Raleigh, North Carolina, July 22-25*.

Surana, K. S., Nunez, D. & Reddy, J. N. (2013). Giesekus Constitutive Model for Thermoviscoelastic Fluids based on Ordered Rate Constitutive Theories. In *Abstract published in the proceedings of the 12th US Congress on Computational Mechanics(USNCCM-12), Raleigh, North Carolina, July 22-25*.

Surana, K. S., Blackwell, B. & Reddy, J. N. (2013). Mathematical Model for Fluid-Solid Interaction and their Numerical Solutions. In *Abstract published in the proceedings of the 12th US Congress on Computational Mechanics (USNCCM-12), Raleigh, North Carolina, July 22-25*.

Surana, K. S., Powell, M. & Reddy, J. N. (2013). A Simple Mixture Theory for v Newtonian and Generalized Newtonian Constituents. *Continuum Mechanics and Thermodynamics [09351175]*, *26*(1), 33-65. DOI:10.1007 / s00161-012-0274-5

Surana, K. S., Mendoza, Y. & Reddy, J. N. (2013). Constitutive Theories for Thermoelastic Solids in Lagrangian Description using Gibbs Potential. *Acta Mechanica*, *Vol. 224 *((5)), pp. 1619-6937.

Surana, K. S., Nunez, D. & Reddy, J. N. (2013). Giesekus Constitutive Model based on Ordered Rate Constitutive Theory for Thermoviscoelastic Fluids. *Research Updates in Polymer Science*, *Vol. 2*, pp. 232-260.

Surana, K. S., Moody, T. & Reddy, J. N. (2013). Ordered Rate Constitutive Theories in Lagrangian Description for Thermoviscoelastic Solids without Memory. *Acta Mechanica*, *Vol. 22 *((11)), pp. 2785-2816.

Surana, K. S., Nunez, D. Reddy, J. N., & Romkes, A. (2013). Rate Constitutive Theories for Ordered Thermofluids. *Journal of Continuum Mechanics and Thermodynamics*, *Vol. 5*((5)), pp. 626-662.

S., S. K., Nunez, D. Reddy, J. N., & Romkes, A. (2013). Rate constitutive theories for ordered thermoviscoelastic fluids: polymers
. *Continuum Mechanics and Thermodynamics [09351175]*, *26*(2), 143-181. DOI:10.1007 / s00161-013-0295-8

Surana, K. S. (2013). *Equipment Acquisition for the Enhancement of Computational Infrastructure for Research in the Mathematical Modeling and Numerical Simulation of Multi-physics and Interaction Processes* In . (Ed.), *(Equipment Report) Submitted to ARO, December*.

Surana, K. S., & Reddy, J. N. (2013). A new mathematical and computational framework for BVPs and IVPs for solids, liquids and gases and their interactions. *Technical Report (Interim Progress Report)Submitted to ARO, August 2013*.

Surana, K. S., Nunez, D. & Reddy, J. N. (2012). Constitutive Theories for Finite Deformation of Thermoelastic Solids in Eulerian Description. In *Presented at the 4th International Conference on Structural Stability and Dynamics (ICSSD-2012), Jaipur, India, January 4-6 (plenary lecture)*.

Surana, K. S., & Reddy, J. N. (2012). h, p, k Finite Element Processes for Linear and Non-linear BVPs and IVPs. In *Presented at JK Lakshmipat University (JKLU), Hyderabad, India, January*.

Surana, K. S., & Reddy, J. N. (2012). h, p, k Finite Element Processes for Linear and Non-linear BVPs and IVPs. In *Presented at the 4th International Conference on Structural Stability and Dynamics (ICSSD-2012), Jaipur, India, January 4-6 (keynote lecture)*.

Surana, K. S., Moody, T. & Reddy, J. N. (2012). Ordered Rate Constitutive Theories in Lagrangian Description for Thermoviscoelastic Solids with Memory. In *Presented at the 4th International Congress on Computational Mechanics and Simulation (ICCMS 2012), Hyderabad, India, December 9-12*.

Surana, K. S., Ma, Y. T., Reddy, J. N., & Romkes, A. (2012). Computation of Evolutions for Isothermal Viscous and Viscoelastic Flows. *International Journal of Computational Methods in Engineering Science and Mechanics*, *Vol. 13*, pp. 408-429.

Surana, K. S., Ma, Y. T., Reddy, J. N., & Romkes, A. (2012). Fluid-Solid Interaction of Incompressible Media using h, p, k Mathematical and Computational Framework. *International Journal of Computational Methods in Engineering Science and Mechanics*, *Vol. 13*, pp. 357-379.

Surana, K. S., Nunez, D. Reddy, J. N., & Romkes, A. (2012). Rate Constitutive Theories for Ordered Thermoelastic Solids. *Annals of Solid and Structural Mechanics*, *Vol. 3*, pp. 27-54.

Surana, K. S., Reddy, J. N., & Romkes, A. (2012). A New Mathematical and Computational Framework for BVPs and IVPs for Solid, Liquids and Gases and their Interactions. *Submitted to ARO*.

Surana, K. S., Reddy, J. N., & Romkes, A. (2012). A New Mathematical and Computational Framework for BVPs and IVPs for Solid, Liquids and Gases and their Interactions. *Technical Report: Interim Progress Report Submitted to ARO*.

Surana, K. S., Reddy, J. N., & Romkes, A. (2012). A New Mathematical and Computational Framework for BVPs and IVPs for Solid, Liquids and Gases and their Interactions. *Progress Report Submitted to ARO*.

Surana, K. S., Stone, T. Reddy, J. N., & Romkes, A. (2011). Adaptivity in hpk finite element processes. In *Presented at the mini-symposium on Continuum Modeling and Computational Approaches for Hard and Soft Matter (or Tissues), 11th US Congress on Computational Mechanics USNCCM-11, Minneapolis, Minnesota, July 25-28*.

Surana, K. S., Moody, T. Reddy, J. N., & Romkes, A. (2011). Computations of Evolutions of Viscous Compressible Flows Using Space-Time hpk Finite Element Processes. In *Presented at the mini-symposium on Continuum Modeling and Computational Approaches for Hard and Soft Matter (or Tissues), 11th US Congress on Computational Mechanics USNCCM-11, Minneapolis, Minnesota, July 25-28*.

Surana, K. S., Ma, Y. T., Reddy, J. N., & Romkes, A. (2011). Eulerian Descriptions of Fluid-Solid Interactions and Computations of Evolutions using Space-Time h, p, k Finite Element Processes. In *Presented at the mini-symposium on Continuum Modeling and Computational Approaches for Hard and Soft Matter (or Tissues), 11th US Congress on Computational Mechanics USNCCM-11, Minneapolis, Minnesota, July 25-28*.

Surana, K. S., Quiros, L. Reddy, J. N., & Romkes, A. (2011). Numerical Simulation of Liquid-Solid, Solid-Liquid Phase Change Processes using h, p, k Space-Time Finite Element Method. In *Presented at the mini-symposium on Continuum Modeling and Computational Approaches for Hard and Soft Matter (or Tissues),11th US Congress on Computational Mechanics USNCCM-11, Minneapolis, Minnesota, July 25-28*.

Surana, K. S., Nunez, D. Reddy, J. N., & Romkes, A. (2011). Ordered Rate Constitutive Theory for
Thermofluids. In

Surana, K. S., Nunez, D. Reddy, J. N., & Romkes, A. (2011). Ordered Rate Constitutive Theory for Thermoviscoelastic Fluids - Polymers. In

Surana, K. S., Euler, L. Reddy, J. N., & Romkes, A. (2011). Methods of Approximation in h, p, k Framework for ODEs in Time Resulting from Decoupling of Space and Time in IVPs. *American Journal of Computational Mathematics*, *Vol. 1*, pp. 83-103.

Romkes, A. Bryant, C. M., & Surana, K. S. (2010). A Posteriori Error Estimation of hpk FE Solutions of Linear Boundary Value Problems in Terms of Quantities of Interest. In *International Conference on Multiscale Modelling and Simulation (ICMMS-2010), Guangzhou, China, December 17-19*.

Surana, K. S., Ma, Y. T., Reddy, J. N., & Romkes, A. (2010). Development of Mathematical Models for Multi-Physics, Interaction Processes. In *International Conference on Multiscale Modelling and Simulation (ICMMS-2010), Guangzhou, China, December 17-19*.

Surana, K. S., Reddy, J. N., & Romkes, A. (2010). h, p, k Mathematical and Computational Finite Element Framework with Variationally Consistent Integral Forms for Boundary Value and Initial Value Problems. In *International Conference on Multiscale Modelling and Simulation (ICMMS-2010), Guangzhou, China, December 17-19*.

Romkes, A. Bryant, C. M., & Surana, K. S. (2010). A Posteriori Error Estimation of hpk FE Solutions of Linear Boundary Value Problems in Terms of Quantities of Interest. *Acta Mechanica Solida Sinica*, *Vol. 23*, pp. 122-127.

Surana, K. S., Ma, Y. T., Romkes, A. & Reddy, J. N. (2010). Development of Mathematical Models and Mathematical, Computational Framework for Multi-Physics Interaction Processes. *Mechanics of Advanced Materials and Structures*, *Vol. 17*, pp. 488-508.

Surana, K. S., Ma, Y. T., Reddy, j. N., & Romkes, A. (2010). Development of Mathematical Models for Multi-Physics Interaction Processes. *Acta Mechanica Solida Sinica*, *Vol. 23*, pp. 307-311.

Surana, K. S., Reddy, J. N., & Romkes, A. (2010). h, p, k Mathematical and Computational Finite Element Framework for Boundary Value and Initial Value Problems. *Acta Mechanica Solida Sinica*, *Vol. 23*, pp. 12-25.

Surana, K. S., Ma, Y. T., Romkes, A. & Reddy, J. N. (2010). The Rate Constitutive Equations and Their Validity for Progressively Increasing Deformation. *Mechanics of Advanced Materials and Structures *, *Vol. 17*, pp. 509-533.

Surana, K. S., Reddy, J. N., & Romkes, A. (2010). Ordered Rate Constitutive Theories: Development of Rate Constitutive Equations for Solids, Liquids and Gases. *Submitted to ARO*. 153.

Romkes, A. Bryant, C. & Surana, K. S. (2009). A Posteriori Error Estimates for the k-Version of the Finite Element Method for the Analysis of Linear Boundary Value Problems. In *presented at the mini-symposium on k-version of finite element method and hpk-adaptive processes, USNCCM-10, Columbus, Ohio, July 15-19*.

Surana, K. S., Stone, T. Romkes, A. & Reddy, J. N. (2009). Adaptivity in finite element processes in h, p, k mathematical and computational framework. In *presented at the IC-CMES 2009 Hyderabad, India, Jan. 8-10*.

Surana, K. S., Stone, T. Romkes, A. & Reddy, J. N. (2009). Adaptivity in Finite Element Processes in h, p, k Mathematical and Computational Framework. In *Presented at the mini-symposium on k-version of finite element method and hpk-adaptive processes, USNCCM-10, Columbus, Ohio, July 15-19*.

Surana, K. S., Ma, Y. T., Romkes, A. & Reddy, J. N. (2009). Development of Mathematical Models and Computational Framework for Multi-Physics Interaction Processes. In *Presented at the mini-symposium on k-version of finite element method and hpk-adaptive processes, USNCCM-10,
Columbus, Ohio, July 15-19*.

Surana, K. S., Ma, Y. T., Romkes, A. & Reddy, J. N. (2009). Development of mathematical models and mathematical computational framework for multi-physics interaction processes. In *presented at the IC-CMES 2009 Hyderabad, India, Jan. 8-10*.

Surana, K. S., Ma, Y. T., Romkes, A. & Reddy, J. N. (2009). Fluid-solid Interaction of Incompressible Media
in h, p, k Mathematical and Computational Framework. In *Presented at the IC-CMES 2009 Hyderabad, India, January 8-10*.

Surana, K. S., Ma, Y. T., Romkes, A. & Reddy, J. N. (2009). Fluid-solid Interaction of Incompressible Media in h,p,k Mathematical and Computational Framework. In *Presented at the mini-symposium on k-version of finite element method and hpk-adaptive processes, USNCCM-10, Columbus, Ohio, July 15-19*.

Surana, K. S., Allu, S. Romkes, A. & Reddy, J. N. (2009). Investigation of the Possibility of the Existence of Rarefaction Shocks in FC70 using hpk Mathematical and Computational Framework. In

Nunez, D. Surana, K. S., Romkes, A. & Reddy, J. N. (2009). J-integral Computations for Mode I Linear Elastic Fracture in h, p, k Framework. In

Surana, K. S., Euler, L. Romkes, A. & Reddy, J. N. (2009). Method of Approximation in h, p, k Framework for ODEs in Time Resulting from Decoupling of Space and Time or Lumped Parameter Approach in Space for IVPs. In

Surana, K. S., Ma, Y. T., Romkes, A. & Reddy, J. N. (2009). On the Rate Constitutive Equations and Their Use in Stress Wave Propagation in hpk Finite Element Framework. In

Surana, K. S., Truex, M. Romkes, A. & Reddy, J. N. (2009). Phase Change Kinetics using Cahn-Hilliard Equation in h, p, k Mathematical and Computational Framework. In

Surana, K. S., Deshpande, K. M., Romkes, A. & Reddy, J. N. (2009). Computations of numerical solutions in polymer flows using Giesekus constitutive model in h, p, k framework with variationally consistent
integral forms. *Int. J. Comp. Meth. in Eng. Sci. and Mechanics*, *Vol. 10*, pp. 217-344.

Surana, K. S., Allu, S. Romkes, A. & Reddy, J. N. (2009). Evolution, propagation, reflection and interactions of 1-D normal shocks in Air and FC70 using h, p, k finite element computational framework. *Int. J. Comp. Meth. in Eng. Sci. and Mechanics*, *Vol. 10*, pp. 370-392.

Ahmadi, A. Surana, K. S., Maduri, R. K., Romkes, A. & Reddy, J. N. (2009). Higher order global differentiability local approximations for 2-D distorted quadrilateral elements. *Int. J. Comp. Meth. in Eng. Sci. and Mechanics*, *Vol. 10*(Issue 1), pp. 1-19.

Maduri, R. K., Surana, K. S., Romkes, A. & Reddy, J. N. (2009). Higher order global differentiability local approximations for 2-D distorted triangular elements. *Int. J. Comp. Meth. in Eng. Sci. and Mechanics*, *Vol. 10*(Issue 1), pp. 20-26.

Nunez, D. Surana, K. S., Romkes, A. & Reddy, J. N. (2009). J-integral Computations for Mode I Linear Elastic Fracture in h, p, k Framework.

Nunez, D. Surana, K. S., Romkes, A. & Reddy, J. N. (2009). J-integral for mode I linear elastic fracture mechanics in h, p, k mathematical and computational framework. *Int. J. Comp. Meth. in Eng. Sci. and Mechanics*, *Vol. 10*, pp. 345-369.

Surana, K. S., Deshpande, K. M., Romkes, A. & Reddy, J. N. (2009). Numerical simulations of BVPs and IVPs in fiber spinning using Giesekus constitutive model in h, p, k framework. *Int. J. Comp. Meth. in Eng. Sci. and Mechanics*, *Vol. 10*(Issue 2), pp.143-157.

Allu, S. Surana, K. S., Romkes, A. & Reddy, J. N. (2009). Numerical solutions of BVPs in 2-D viscous compressible flows using h, p, k framework. *Int. J. Comp. Meth. in Eng. Sci. and Mechanics*, *Vol.10*(Issue 1), pp. 158-171.

Surana, K. S., Reddy, J. N., & Romkes, A. (2008). A new mathematical and computational framework for BVps and IVPs. In *Presented at the International conference on Multiscale modeling and simulations, Bangalore, India, Jan. 2-4*.

Surana, K. S., Allu, S. & Reddy, J. N. (2008). Computations of viscous compressible flows in h, p, k framework. In *Presented at the International conference on Multiscale modeling and simulations, Bangalore, India, Jan. 2-4*.

Romkes, A. Surana, K. S., Reddy, J. N., & Stone, T. (2008). Error estimation for the k-version of the finite
element method. In *Presented at the International conference on Multiscale modeling and simulations, Bangalore, India, Jan. 2-4*.

Surana, K. S., Bhola, S. Reddy, J. N., & TenPas, P. W. (2008). k-version of finite element method in 2-D Polymer flows: Upper convected Maxwell Model. *Int. J. Comp. and Structures*, *Vol. 86*(Issue 17-18), pp. 1782-1808.

Surana, K. S., Bhola, S. Reddy, J. N., & TenPas, P. W. (2008). k-version of finite element method in 2-D polymer flows: upper convected Maxwell model. *Int. J. Comp. and Structures*, *Vol. 86*, pp. 1782-1808.

Surana, K. S., Allu, S. Reddy, J. N., & TenPas, P. W. (2008). Least squares finite element processes in h, p, k mathematical and computational framework for a non-linear conservation law. *Int. J. Num. Meth. in Fluids*, *Vol. 57*, pp. 1545-1568.

Surana, K. S., Allu, S. Reddy, J. N., & TenPas, P. W. (2008). Least squares finite element processes in hpk mathematical framework for non-linear conservation law. *International Journal for Computational Methods in Engineering Science and Mechanics*, *Vol. 57*(Issue 10), pp. 1545-1568.

Surana, K. S., Anthoni, L. R., Allu, S. & Reddy, J. N. (2008). Strong and weak form of governing differential equations in Least squares finite element processes in h, p, k framework. *International Journal for Computational Methods in Engineering Science and Mechanics*, *Vol. 9*, pp. 1-24.

Surana, K. S., Anthoni, L. R., Allu, S. & Reddy, J. N. (2008). Strong and weak form of governing differential equations in least squares finite element processes in h, p, k framework. *Int. J. Comp. Meth. in Eng. Sci. and Mechanics*, *Vol. 9*, pp. 1-24.

Cumbre, A. Reddy, J. N., Romkes, A. & Surana, K. S. (2007). A Mathematical model and computational approach for fluid-solid interaction. In *9th U.S. National Congress on Computational Mechanics (USNCCM-9), San Francisco, California, July 22-26*.

Deshpande, K. Reddy, J. N., & Surana, K. S. (2007). A new computational framework for numerical solutions of polymer flows for higher Deborah numbers. In *9th U.S. National Congress on Computational Mechanics (USNCCM-9), San Francisco, California, July 22-26*.

Surana, K. S., Reddy, J. N., & Romkes, A. (2007). A new mathematical and computational framework for BVP and IVP. In *9th U.S. National Congress on Computational Mechanics, San Francisco, California, July 22-26*.

Romkes, A. Reddy, J. N., Stone, T. & Surana, K. S. (2007). A priori error estimation in hpk FE analysis. In *9th U.S. National Congress Congress on Computational Mechanics (USNCCM-9), San Francisco, California, July 22-26*.

Allu, S. Reddy, J. N., & Surana, K. S. (2007). Computations of viscous compressible flows in h, p, k framework. In *9th U.S. National Congress on Computational Mechanics (USNCCM-9), San Francisco, California, July 22-26*.

Surana, K. S., Dumbre, A. Romkes, A. & Reddy, J. N. (2007). Development of mathematical models and a computational infrastructure in the h, p, k framework for fluid-solid interaction and multi-physics processes. In *17th U.S. Army Symposium on Solid Mechanics, Baltimore, Maryland, 3-5 April*.

Surana, K. S., Basaran, S. Romkes, A. & Reddy, J. N. (2007). Development of mathematical models and a computational infrastructure in the hpk framework for large deformation and large strain elastoplastic behavior of solids. In *17th U.S. Army Symposium on Solid Mechanics, Baltimore, Maryland, 3-5 April*.

Maduri, E. Reddy, J. N., & Surana, K. S. (2007). Higher order global differentiability local approximations for triangular elements. In *9th U.S. National Congress Congress on Computational Mechanics (USNCCM-9), San Francisco, California, July 22-26*.

Basaran, S. Reddy, J. N., Romkes, A. & Surana, K. S. (2007). hpk computational framework for solid continuum using Eulerian description. In

Surana, K. S., Romkes, A. & Reddy, J. N. (2007). Lagrangian and Eulerian descriptions in solid mechanics and their numerical solutions in hpk framework. In *Prepared under seed grant proposal Concept Validation Proposal for new Mathematical and Computational Framework for Fluid-Solid Interaction*.

Surana, K. S., EngelKemier, M. K., Reddy, J. N., & TenPas, P. W. (2007). k-version Least squares finite element processes for 2-D Generalized Newtonian fluid flows. *International Journal for Computational Methods in Engineering Science and Mechanics*, *Vol. 8*, pp. 243-261.

Surana, K. S., Gupta, P. & Reddy, J. N. (2007). Galerkin and Least squares finite element processes for 2D Helmholtz equation in h, p, k framework. *International Journal for Computational Methods in Engineering Science and Mechanics*, *Vol. 8*, pp. 341-361.

Surana, K. S., Kanti Mahanti, R. & Reddy, J. N. (2007). Galerkin/Least squares finite element processes for BVP in h, p, k mathematical framework. *International Journal for Computational Methods in Engineering Science and Mechanics *, *Vol.8*, pp. 439-462.

Surana, K. S., Redd, J. N., & Allu, S. (2007). The k-version of finite element method for initial value problems: mathematical and computational framework. *International Journal for Computational Methods in Engineering Science and Mechanics*, *Vol. 8*, pp. 123-136.

Surana, K. S., Romkes, A. & Reddy, J. N. (2007). Mathematical models and computational infrastructure for multiphysics processes:fluid solid interaction. *Prepared under seed grant proposal Concept Validation Proposal for new Mathematical and Computational Framework for Fluid-Solid Interaction*.

Surana, K. S., Englekemier, M. K., TenPas, P. W., & Reddy, J. N. (2006). k-version least squares finite element processes for 2-D generalized Newtonian fluid flows. In *1st International Conference on Enhancement and Promotion of Comp. Meth. In Eng. Sci. and Mechanics (CMESM) Proceedings, p. 447-453, Aug 10-12, Changchun, China*.

Surana, K. S. (2006). A New Mathematical and Computational Framework for BVPs and IVPs. In *1st International Conference on Enhancement and Promotion of Comp. Meth. In Eng. Sci. and Mechanics (CMESM), Proceedings, p. 21-29, Aug 10-12, Changchun, China*.

Surana, K. S., Allu, S. TenPas, P. W., & Reddy, J. N. (2006). Finite element processes for IVP in compressible
flow with Real gas models using hpk framework. In *1st International Conference on Enhancement and Promotion of Comp. Meth. In Eng. Sci. and Mechanics (CMESM) Proceedings, p. 440-446, Aug 10-12, Changchun, China*.

Ahmadi, A. Surana, K. S., & Reddy, J. N. (2006). Higher order global differentiability approximations for 2D distorted element geometries. In *7th World Congress on Computational Mechanics, Los Angeles,California, July 16-22*.

Surana, K. S., Maduri, R. K., & Reddy, J. N. (2006). Higher order global differentiability approximations for 3D distorted element geometries. In *7th World Congress on Computational Mechanics, Los Angeles, California, July 16-22*.

Surana, K. S., Deshpande, K. M., Reddy, J. N., & TenPas, P. W. (2006). Higher order global differentiability solutions of BVP and IVP in fiber spinning of polymers. In *7th World Congress on Computational Mechanics, Los Angeles, California, July 16-22*.

Surana, K. S., Kane, J. R., TenPas, P. W., & Reddy, J. N. (2006). Higher order global differentiable solutions of
IVP in hpk mathematical and computational framework. In *1st International Conference on Enhancement and Promotion of Comp. Meth. In Eng. Sci. and Mechanics (CMESM) Proceedings, p. 231-237, Aug 10-12, Changchun, China*.

Surana, K. S., Allu, S. Reddy, J. N., & TenPas, P. W. (2006). Numerical Simulation of IVP in compressible
flow with Real gas models in hpk framework. In *7th World Congress on Computational Mechanics, Los Angeles, California, July 16-22*.

Surana, K. S., Romkes, A. Reddy, J. N., & TenPas, P. W. (2006). The need for hpk mathematical and computational framework and VC integral forms for finite element processes. In *7th World Congress on Computational Mechanics, Los Angeles, California, July 16-22*.

Surana, K. S., Mohammed, A. Reddy, J. N., & TenPas, P. W. (2006). k-version of finite element method in 2-D
polymer flows : Oldroyd-B constitutive model. *International Journal for Numerical Methods in Fluids*, *Vol. 52*, pp. 119-162.

Surana, K. S., Allu, S. TenPas, P. W., & Reddy, J. N. (2006). k-version of Finite Element Method in gas dynamics: higher order global differentiability numerical solutions. *International Journal for Numerical Methods in Engineering*, *Vol. 69*, pp. 1109-1157.

Surana, K. S., Rajwani, A. & Reddy, J. N. (2006). k-version of finite element method in singular boundary value problems: linear elastic fracture mechanics. *International Journal for Computational Engineering Science and Mechanics*, *Vol. 7*, pp. 217-239.

Surana, K. S., Gupta, P. TenPas, P. W., & Reddy, J. N. (2006). h, p, k least squares finite element processes for 1-D Helmholtz equation. *International Journal for Computational Engineering Science and Mechanics*, *Vol. 7*(Issue 4), pp. 263-291.

Surana, K. S., Gupta, P. Reddy, J. N., & TenPas, P. W. (2006). hpk least squares finite element processes for 1-D
Helmholtz equation. *Computational Meth. in Eng. Science and Mechanics*, *7*, 261-291.

Surana, K. S., Maduri, R. & Reddy, J. N. (2006). One dimensional elastic wave propagation in periodically laminated composites using h; p; k framework and STLS finite element processes. *Mechanics of Advanced Materials and Structures*, *Vol. 13*, pp. 161-196.

Surana, K. S., & Reddy, J. N. (2006). *k-version of finite element method: A new mathematical and computational framework for IVP*. Third year research report to AFOSR.

Surana, K. S., Maduri, R. & TenPas, P. W. (2005). 1-D elastic wave propagation in laminated composites using h, p, k framework and STLSP. In *Eighth U.S. National Congress on Computational Mechanics (USNCCM-8), July 24-28, Austin, Texas*.

Surana, K. S., Allu, S. TenPas, P. W., & Reddy, J. N. (2005). h, p, k finite element processes for non-linear
conservation law. In *3rd Intl. conf. on structural stability and dynamics, June 19-22, Kissimmee, Florida*.

Surana, K. S., Gupta, P. Reddy, J. N., & TenPas, P. W. (2005). h, p, k Galerkin/weak form and least squares
finite element processes for 1-D and 2-D Helmholtz equations. In *Eighth U.S. National Congress on Computational Mechanics (USNCCM-8), July 24-28, Austin, Texas*.

Surana, K. S., Allu, S. Reddy, J. N., & TenPas, P. W. (2005). Least squares finite element processes in h, p, k mathematical framework for non-linear conservation law. In *Eighth U.S. National Congress on Computational Mechanics (USNCCM-8), July 24-28, Austin, Texas*.

Surana, K. S. (2005). Mathematical basis for finite element processes in h, p, k framework. In *3rd Intl. conf. on structural stability and dynamics, June 19-22, Kissimmee, Florida*.

Surana, K. S., Allu, S. & Reddy, J. N. (2005). The k-version of finite element method for initial value problems : mathematical and computational framework. In *Eighth U.S. National Congress on Computational Mechanics (USNCCM-8), July 24-28, Austin, Texas*.

Surana, K. S., Ahmadi, A. & Reddy, J. N. (2004). k-version of Finite Element Method for Non-Linear Dffierential Operators in BVP. *International Journal of Computational Engineering Science*, *Vol. 5*(No. 1), pp. 133-207.

Surana, K. S., Maduri, R. K., & Reddy, J. N. (2003). k-version of Finite Element Method in Elastic Wave Propagation with Bi-Material Interfaces. In *Proceedings of the 16th U.S. Army Symposium on Solid Mechanics, Charleston, S. Carolina, May 4-7*.

Surana, K. S., Rajwani, A. Reddy, J. N., & Maduri, R. K. (2003). k-version of Finite Element Method in Singular BVP: Linear Elastic Fracture Mechanics. In *Proceedings of the 16th U.S. Army Symposium on Solid Mechanics, Charleston, S. Carolina, May 4-7*.

Surana, K. S., TenPas, P. W., Reddy, J. N., & Ahmadi, A. (2003). A New Mathematical and Computational Framework for BVP and IVP and an Evaluation of Existing Computational Technology. In *Proceedings of 16th AIAA Computational Fluid Dynamics Conference, Orlando, Florida, June*.

Surana, K. S., TenPas, P. W., Reddy, J. N., & Ahmadi, A. (2003). Higher Order Global Differentiability Solutions
in Gas Dynamics using k-version Finite Element Method. In *Proceedings of 16th AIAA Computational Fluid Dynamics Conference, Orlando, Florida, June*.

Surana, K. S., Gupta, P. Reddy, J. N., & TenPas, P. W. (2003). Pollution Free Finite Element Processes for Helmholtz Equation For Any Wave Number. In *Proceedings of the 7th U.S. National Congress on Computational Mechanics, Albuquerque, N.M, July 27-31*.

Surana, K. S., Maduri, R. K., Reddy, J. N., & TenPas, P. W. (2003). Variationally Consistent Higher Order Global Differentiability Finite Element Processes for Elastic Wave Propagation in Laminated Composites. In *Proceedings of the 7th U.S. National Congress on Computational Mechanics, Albuquerque, N.M, July 27-31*.

Surana, K. S., Ahmadi, A. & Reddy, J. N. (2003). k-version of Finite Element Method for Non-Self-Adjoint Operators in BVP. *International Journal of Computational Engineering Science*, *Vol. 4*(No. 4), pp. 737-812.

Surana, K. S., & Reddy, J. N. (2002). A New Mathematical and Computational Basis for Boundary Value Problem and Initial Value Problem. In *Fifth World Congress on Computational Mechanics, Austria, July 7-12*.

Surana, K. S., & Reddy, J. N. (2002). An Accurate and Robust Computational Methodology for Structural Dynamics Problems. In *Proceedings of the 2nd International Conference on Structural Stability and Dynamics, Singapore, Dec 16-18*.

Surana, K. S., & Rajwani, A. (2002). Numerical Solution of Higher Degree of Global Smoothness in Linear Elastic Fracture Mechanics. In *ASME, ETCE 2002, Symposium on Composite Materials Design and Analysis, Houston, Texas, Feb 4 - 5*.

Surana, K. S., & Nguyen, H. (2002). Numerical Solutions of Higher Degree of Global Smoothness in Convection-Diffusion Reaction Systems. In *ASME, ETCE 2002, Symposium on Composite Materials Design and Analysis, Houston, Texas, Feb 4 - 5*.

Surana, K. S., & Reddy, J. N. (2002). The k-version of Finite Element Method: A New Computational Methodology for Boundary Value Problems. In *Proceedings of the ISSS-SPIE, International Conference on Smart materials, Structures and Systems, Indian Institute of Science, Bangalore, India, July 17-19*.

Surana, K. S., Ahmadi, A. & Reddy, J. N. (2002). k-version of Finite Element Method for Self-Adjoint Operators in BVP. *International Journal of Computational Engineering Science*, *Vol. 3*(No. 2), pp. 155-218.

Surana, K. S., & Van Dyne, D. G. (2002). Non-Weak/Strong Solutions in Gas Dynamics: A C11 p-Version STLSFEF in Eulerian Frame of Reference Using ρ , u, p Primitive Variables. *International Journal for Numerical Methods in Engineering*, *Vol. 53*, pp. 1051-1099.

Surana, K. S., & Van Dyne, D. G. (2002). Non-Weak/Strong Solutions in Gas Dynamics: A C11 p-Version STLSFEF in Lagrangian Frame of Reference Using ρ ,u, p Primitive Variables. *International Journal for Numerical Methods in Engineering*, *Vol. 53*, pp. 1025-1050.

Surana, K. S., & Nayak, H. V. (2001). Computation of Solutions of Higher Class of Navier-Stoke Equations:2 D Newtonian Fluid Flow. In *ASME-ETCE 2001, Engineering Technology Conference and Exhibition, Symposium on Composite Materials Design and Analysis, Houston, Texas, Feb 5-7*.

Surana, K. S., & Ahmadi, A. H. (2001). Computations of Non-Weak Solutions in Gas Dynamics in Eulerian Frame of Reference: Theoretical Framework, Computational Strategy and Numerical Studies. In *ASME-ETCE 2001, Engineering Technology Conference and Exhibition, Symposium on Composite Materials Design and Analysis, Houston, Texas, Feb 5-7*.

Surana, K. S., & Ahmadi, A. H. (2001). Computations of Non-Weak Solutions in Gas Dynamics in Lagrangian Frame of Reference: Theoretical Framework, Computational Strategy and Numerical Studies. In *ASME-ETCE 2001, Engineering Technology Conference and Exhibition, Symposium on Composite Materials Design and Analysis, Houston, Texas, Feb 5-7*.

Surana, K. S., & Nguyen, H. (2001). Computations of Non-Weak Solutions in Laminated Composites:Theoretical Framework, Computational Strategy and Numerical Studies. In *ASME-ETCE 2001,Engineering Technology Conference and Exhibition, Symposium on Composite Materials Design and Analysis, Houston, Texas, Feb 5-7*.

Surana, K. S., & Bona, M. (2001). Computations of Non-Weak Solutions of Partial Differential
Equations. In

Surana, K. S., & Nayak, H. V. (2001). Computations of the Numerical Solutions of higher Class in 2D Polymer Flows: Upper Convected Maxwell Model. In *ASME-ETCE 2001, Engineering Technology Conference and Exhibition, Symposium on Composite Materials Design and Analysis, Houston,Texas, Feb 5-7*.

Surana, K. S., & Nayak, H. V. (2001). Numerical Computations of Higher Class Solutions for 2D Polymer Flows using PTT Constitutive Model. In

Surana, K. S., & Nayak, H. V. (2001). Solutions of higher Class and their Computations for Polymer Flows: Oldroyd-B Constitutive Model. In

Surana, K. S., & Nayak, H. V. (2001). Solutions of higher Class and their Computations using Giesekus Constitutive Model. In *ASME-ETCE 2001, Engineering Technology Conference and Exhibition,Symposium on Composite Materials Design and Analysis, Houston, Texas, Feb 5-7*.

Surana, K. S., Petti, S. R., Ahmadi, A. & Reddy, J. N. (2001). p-Version Hierarchical Interpolation Functions for Higher Order Continuity Finite Element Models. *International Journal of Computational Engineering Science*, *Vol.2*(No. 4), pp. 357-382.

Surana, K. S., & Van Dyne, D. G. (2001). Non-Weak/Strong Solutions in Gas Dynamics: A C11. *International Journal of Computational Engineering Science*, *Vol. 2*(No. 3), pp. 383-423.

Surana, K. S., & Van Dyne, D. G. (2001). Non-Weak/Strong Solutions in Gas Dynamics: A C11 p-Version STLSFEF in Lagrangian Frame of Reference Using ρ , u, T Primitive Variables. *International Journal of Computational Engineering Science*, *Vol. 2*(No. 3), pp. 357-382.

Surana, K. S., & Nayak, H. V. (2000). p-Version C00 and C11 LSFEF for Two Dimensional Steady Flow of PTT Fluid. In *ETCE/OMAE 2000 Joint Conference, Energy for New Millennium, New Orleans, Proceedings of the Symposium on Computational, Analytical and Experimental Methods in Continuum Mechanics, Composite Mechanics, Material Science, Design and Analysis, New Orleans, February 14-17*.

Surana, K. S., & Nayak, H. V. (2000). p-Version C00 and C11 LSFEF for Two Dimensional Steady Flow of Giesekus Fluid. In *ETCE/OMAE 2000 Joint Conference, Energy for New Millennium, New Orleans, Proceedings of the Symposium on Computational, Analytical and Experimental Methods in Continuum Mechanics, Composite Mechanics, Material Science, Design and Analysis, New Orleans, February 14-17*.

Surana, K. S., & Nayak, H. V. (2000). p-Version C00 and Higher Order Continuity LSFEFs for Steady Flow of Giesekus Viscoelastic Fluid. In *Proceedings of the XIIIth International Congress on Rheology, Cambridge, U.K. August 20-25*.

Surana, K. S., & Nayak, H. V. (2000). p-Version C00 and Higher Order Continuity LSFEFs for Steady Flow of PTT Viscoelastic Fluid. In *Proceedings of the XIIIth International Congress on Rheology, Cambridge, U.K. August 20-25*.

Surana, K. S., & Bona, M. (2000). Convergence Rates of Higher Order Continuity -pVersion LSFE & STSLFEF Methods for Linear and Non-Linear Hyperbolic and Parabolic Equations Resulting From a Single Conservation Law, ETCE/OMAE 2000 Joint Conference, Energy for New Millennium,New Orleans. In *Proceedings of the Symposium on Computational, Analytical and Experimental Methods in Continuum Mechanics, Composite Mechanics, Material Science, Design and Analysis, New Orleans, February 14-17*.

Surana, K. S., & Ahmadi, A. (2000). Non-Weak/Strong Solutions in Gas Dynamics Using Real Gas Models, Variable Transport Properties and Higher Order Continuity Interpolations. In *ETCE/OMAE 2000 Joint Conference, Energy for New Millennium, New Orleans, Proceedings of the Symposium on Computational, Analytical and Experimental Methods in Continuum Mechanics, Composite Mechanics, Material Science, Design and Analysis, New Orleans, February 14-17*.

Surana, K. S., & Dyne, D. G. (2000). Non-Weak/Strong Solutions in Gas Dynamics: A C11 p-Version STLSFEF in Eulerian Frame of Reference Using ρ, u, t Primitive Variables. In

Surana, K. S., & Dyne, D. G. (2000). Non-Weak/Strong Solutions in Gas Dynamics: A C11 p-Version
STLSFEF in Lagrangian Frame of Reference Using ρ, u, p Primitive Variables. In

Bagheri, M. & Surana, K. S. (2000). p-version LSFEF for Extended k-ε Model of Turbulence for Fully Developed Flow. *Communications in Numerical Methods in Engineering*, *Vol.16*, pp. 83-95.

Bagheri, M. & Surana, K. S. (2000). p-version LSFEF for Steady State Two Dimensional Turbulent Flow Using k-ε Model of Turbulence. *Communications in Numerical Methods in Engineering*, *Vol. 16*, pp. 83-95.

Surana, K. S., & Bona, M. (2000). Non-Weak/Strong Solutions of Linear and Non Linear Hyperbolic and Parabolic Equations Resulting From A Single Conservation Law. *International Journal of Computational Engineering Science*, *Vol. 1*(No. 2), pp. 299-330.

Surana, K. S., & Petti, S. (1999). Higher Order continuity p-Version One, Two, Three and Higher Dimensional Hierarchical element Approximations for Strong Solutions of Partial Differential Equations. In *Proceedings of the Symposium on Composite Materials Design and Analysis, ETCE99,
ASME, Houston, Texas, Feb. 1-3*.

Surana, K. S., & Li, X. (1999). Numerical Simulation of Steady and Propagating One- Dimensional Fronts and Shocks Using C o, Coo p-Version LSFEF and STLSFEF. In *Proceedings of the Symposium on Composite Materials Design and Analysis, ETCE99, ASME, Houston, Texas, Feb. 1-3*.

Van Dyne, D. & Surana, K. S. (1998). 1D Compressible Flow in Eulerian Frame of Reference with Ideal Gas Behavior using p-version STLSFEF. In *Proceedings of the Symposium on Composite Materials Design and Analysis, ETCE98, ASME, Houston, Texas, Feb. 2-4*.

Van Dyne, D. & Surana, K. S. (1998). 1D Compressible Flow in Eulerian Frame of Reference with Real Gas Behavior using p-version STLSFEF. In *Proceedings of the Symposium on Composite Materials Design and Analysis, ETCE98, ASME, Houston, Texas, Feb. 2-4*.

Van Dyne, D. & Surana, K. S. (1998). 1D Compressible Flow in Lagrangian Frame of Reference with Ideal Gas Behavior using p-version STLSFEF. In *Proceedings of the Symposium on Composite Materials Design and Analysis, ETCE98, ASME, Houston, Texas, Feb. 2-4
*.

Van Dyne, D. & Surana, K. S. (1998). 1D Compressible Flow in Lagrangian Frame of Reference with Real Gas Behavior using p-version STLSFEF . In

Surana, K. S. (1998). p-Version STLSFEF for 1D Transient Heat Conduction with Multimaterial Interfaces and Geometric Discontinuities. In

Van Dyne, D. & Surana, K. S. (1998). p-Version STLSFEF for one Dimensional Elastic Wave Propagation with Multimaterial Interfaces and Geometric Discontinuities. In

Nayak, H. V., & Surana, K. S. (1998). A 2D p-Version LSFEF for Laminated Composites Incorporating Laminate Physics. In

Nayak, H. V., & Surana, K. S. (1998). A 3D p-Version LSFEF for Laminated Composites Incorporating Laminate Physics. In *Proceedings of the Symposium on Composite Materials Design and Analysis,ETCE98, ASME, Houston, Texas, Feb. 2-4*.

Ahmadi, A. R., & Surana, K. S. (1998). A Modeling and Simulation Procedure for grinding Wheels in the Presence Viscoelastic Damping Materials. In

Johnson, K. & Surana, K. S. (1998). Investigation of the Parameters Influencing the Performance of λ Elements. In

Nayak, H. V., & Surana, K. S. (1998). Numerical Simulation of Free Edge Effects in Laminated Composites Using 3D Equations of Elasticity and p-Version LSFEF. In

Surana, K. S., Ahmadi, A. R., & Ganne, E. (1998). Numerical Simulation of Free Edge Effects in Laminated Composites Using h- and p-Version Galerkin Finite Element Formulations. In *Proceedings of the Symposium on Composite Materials Design and Analysis, ETCE98, ASME, Houston, Texas, Feb.2-4*.

Birdie, T. & Surana, K. S. (1998). The use of Interval Analysis in Hydrologic Systems. *International Journal of Reliable Computing*, *Vol. 4*, pp. 269-281.

Sorem, R. M., & Surana, K. S. (1997). p-version Curved Shell Element for Geometrically Nonlinear Analysis of Laminated Composites Plates and Shells. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, PennWell Conference & Exhibitions, Houston, TX*.

Surana, K. S., & Ahmadi, A. R. (1997). Determination of Damping Properties in Laminated Composites Via Numerical Simulation, Proceedings of the Symposium on Composite Materials, Design and Analysis. In *PennWell Conference & Exhibitions, Houston, TX*.

Van Dyne, D. & Surana, K. S. (1997). Determination of the Strength of Singularity and Singular Solution Using Least Squares Finite Element Formulation. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, Energy PennWell Conference & Exhibitions, Houston, TX*.

Surana, K. S., & Ahmadi, A. R. (1997). Free Edge Effects in Laminated Composites and Their Numerical Simulation. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, Energy PennWell Conference & Exhibitions, Houston, TX*.

Ahmadi, A. R., Surana, K. S., Norland, R. S., & Asmelash, Z. (1997). Numerical Simulation of Damping Characteristics of Viscoelastic Materials in System Response. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, PennWell Conference & Exhibitions, Houston, TX*.

Surana, K. S., & Feng, X. (1997). One Dimensional Element Formulation Using Consistent Unequal Order C o Interpolation. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, Energy PennWell Conference & Exhibitions, Houston, TX*.

Surana, K. S., & Feng, X. (1997). Two Dimensional Element Formulation for Fracture Mechanics Using Consistent Unequal Order Co Interpolation. In

Surana, K. S. & Kozik, T. J. (Eds.). (1996). In *Proceedings of the Symposium on Composite Materials, Design and Analysis, PennWell Conference & Exhibitions, Houston, TX*.

Surana, K. S., & Ahmadi, A. (1996). A Comparison of Galerkin and Least Squares Finite Element Methods for Nonlinear Heat Conduction in Laminated Composites. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, Energy Week 96; pp 145-164, PennWell Conference & Exhibitions, Houston, TX*.

Surana, K. S., Surana, R. M., & Bhattacharya, R. (1996). A Survey of Theories and Finite Element Formulations for Laminated Composites. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, Energy Week 96; pp 179-195, PennWell Conference & Exhibitions, Houston,TX*.

Wong, K. K., & Surana, K. S. (1996). Hierarchical and Non-hierarchical Elements for One Dimensional Problems with Unknown Strength of Singularity. In *Proceedings of the Symposium on Composite Material Design and Analysis, Energy Week96; pp 271-289, PennWell Conferences and Exhibitions, Houston, TX*.

Wong, K. K., & Surana, K. S. (1996). Numerical Simulation of Singularities in Laminated Composites Using λ and p -Version Elements- A Mesh Independent Approach. In *Proceedings of the Symposium on Composite Material Design and Analysis, Energy Week96; pp 290-328, PennWell Conferences and Exhibitions, Houston, TX*.

Wong, K. K., & Surana, K. S. (1996). Performance and Limitations of p-Version Finite Element Method for Problems Containing Singularities. In *Proceedings of the Symposium on Composite Material Design and Analysis, Energy Week96; pp 241-240, PennWell Conferences and Exhibitions, Houston, TX*.

Sorem, R. M., & Surana, K. S. (1996). Performances of p-Version Curved Shell Element for Singular Problems. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, Energy Week 96; pp 470-481, PennWell Conference & Exhibitions, Houston, TX*.

Sorem, R. M., & Surana, K. S. (1996). Performances of p-Version Laminated Curved Shell Element for Singular Problems. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, Energy Week 96; pp 482-490, PennWell Conference & Exhibitions, Houston, TX*.

Wong, K. K., & Surana, K. S. (1996). λ and p-Version Elements for Two Dimensional Singular Problems in Solid Mechanics- A Mesh Independent Approach. In *Proceedings of the Symposium on Composite Material Design and Analysis, Energy Week96; pp 290-328, PennWell Conferences and Exhibitions, Houston, TX*.

Wong, K. K., & Surana, K. S. (1996). λ and Special Elements for One, Two and Three-dimensional Singular Problems in Linear and Nonlinear Computational Mechanics. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, Energy Week 96; pp 366-384, PennWell Conference & Exhibitions, Houston, TX*.

Wong, K. K., & Surana, K. S. (1996). λ Elements for One Dimensional Singular Problems With Known Strength of Singularity. In *Proceedings of the Symposium on Composite Material Design and Analysis, Energy Week96; pp 241-270, PennWell Conferences and Exhibitions, Houston, TX*.

Wong, K. K., & Surana, K. S. (1996). λ Elements for Singular Problems in CFD: Newtonian Fluids. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, Energy Week 96; pp 424-443, PennWell Conference & Exhibitions, Houston, TX*.

Wong, K. K., & Surana, K. S. (1996). λ Elements for Singular Problems in CFD: Non-Newtonian Fluids. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, Energy Week 96; pp 444-457, PennWell Conference & Exhibitions, Houston, TX*.

Wong, K. K., & Surana, K. S. (1996). λ Elements for Singular Problems in CFD: Viscoelastic Fluids. In *Proceedings of the Symposium on Composite Materials, Design and Analysis, Energy Week 96; pp 458-469, PennWell Conference & Exhibitions, Houston, TX*.

Bagheri, M. & Surana, K. S. (1995). p-Version Least Squares Finite Element Formulation for Extended k-Ɛ Model of Turbulence. In *3rd U.S. National Congress on Computational Mechanics, June 12-14, Dallas, TX*.

Surana, K. S., & Gan, G. Y. (1995). Full and Reduced Set p-Version Approximations and Their Roles in Smooth and Singular Problems. In *Symposium on Materials, Design and Analysis, ETCE - 95, ASME*.

Surana, K. S., & Sandhu, J. S. (1995). Numerical Simulations of Convection-Diffusion-Reaction Systems Using p-Version LSFE and STLSFE Formulations. In *3rd U.S. National Congress on Computational Mechanics, June 12-14, 1995, Dallas, Texas*.

Edgar, N. B., & Surana, K. S. (1995). Selection Criteria for p-Version Approximation Functions. In *Symposium on Materials, Design and Analysis, ETCE - 95, ASME*.

Musson, L. & Surana, K. S. (1995). p-Version Least Squares Finite Element Formulation for Three Dimension Isothermal, Incompressible Newtonian Fluid Flow. *Computers and Structures, An International Jounal*.

Vijayaraghavan, K. & Surana, K. S. (1995). p-Version Least Squares Finite Element Formulation of a System of Convection-Reaction Non-Linear Equations-fixed Bed, Oxylene Oxidation. *Computers and Structures (An International Journal)*.

Edgar, N. B., & Surana, K. S. (1995). p-Version LSFEF for Axisymmetric Incompressible Newtonian and Non-Newtonian Fluid Flow with Heat Transfer. *Numerical Heat Transfer*.

Feng, Z. & Surana, K. S. (1995). p-Version LSFEF for Three Dimensional Isothermal Incompressible Non-Newtonian Fluid Flow. *Computers and Structures (An International Journal)*.

Dalimunthe, H. & Surana, K. S. (1995). p-Version LSFEF for Three Dimensional, Incompressible, Non-Isothermal, Non-Newtonian Fluid Flow. *Computers and Structures (An International Journal)*.

Surana, K. S., & Sandhu, J. S. (1995). Investigation of Diffusion in p-Version "LSFE" and "STLSFE" Formulations. *Computational Mechanics*, *Vol. 16*(No. 3), pp. 151-169.

Liu, J. H., & Surana, K. S. (1994). Laminated Composites Axisymmetric Shell Element Based on Piecewise Hierarchical Displacement Approximation for Geometrically Nonlinear Behavior. In *17th Annual Energy-Sources Technology Conference and Exhibition, New Orleans, La., Jan. 23 -26*.

Liu, J. H., & Surana, K. S. (1994). Laminated Composites Three Dimensional Curved Shell Element Based on Piecewise Hierarchical Displacement Approximation for Geometrically Nonlinear Behavior of Laminated Plates and Shells. In *17th Annual Energy-Sources Technology Conference and Exhibition, New Orleans, La., Jan. 23 -26*.

Liu, J. H., & Surana, K. S. (1994). p-Version Axisymmetric Shell Element for Geometrically Non-linear Analysis. *Computers and Structures (An International Journal)*.

Edgar, N. B., & Surana, K. S. (1994). p-Version Least Squares Finite Element Formulation for Axisymmetric Incompressible Non-Newtonian Fluid Flow. *Computer Methods in Applied Mechanics and Engineering*, *Vol. 113*, pp. 271-300.

Wintercheidt, D. L., & Surana, K. S. (1994). p-Version Least Squares Finite Element Formulation for Two Dimensional Incompressible Fluid Flow. *IJNMF*, *Vol. 18*, pp. 43-69.

Bell, B. & Surana, K. S. (1994). p-Version Least Squares Finite Element Formulation of Two Dimensional Incompressible Non-Newtonian Isothermal and Non-Isothermal Fluid Flow. *IJNMF*, *Vol. 18*, pp. 127-167.

Orth, F. J., & Surana, K. S. (1994). p-Version Two Dimensional Beam Element for Geometrically Non-linear Analysis. *Computers and Structures (An International Journal)*.

Liu, J. H., & Surana, K. S. (1994). A p-Version Curved Shell Element Based Piecewise Hierarchical Displacement Approximation for Laminated Composite Plates and Shells. *Computers and Structures (An International Journal)*.

Fadum, P. & Surana, K. S. (1994). A Least Squares Finite Element Formulation Based on p-Version for Plane Elasticity with Applications to Laminated Composites. *Computers and Structures (An International Journal)*.

Bell, B. C., & Surana, K. S. (1994). A Space-Time Coupled p-Version LSFEF for Unsteady Fluid Dynamics. *IJNMF*, *Vol. 37*, pp. 3545-3569.

Bell, B. C., & Surana, K. S. (1994). A Space-Time Coupled p-Version LSFEF for Unsteady Two Dimensional Navier-Stokes Equations. *IJNMF*, 1993-1994.

Wintercheidt, D. L., & Surana, K. S. (1994). An Alternative p-Version Least Squares Finite Element "Boundary Flux" Approach for Fluid Dynamics Problems. *Computers and Structures (An International Journal)*.

Liu, J. H., & Surana, K. S. (1994). Piecewise Hierarchical p-Version Axisymmetric Shell Element for Geometrically Non-linear Behavior of Laminated Composites. *Computers and Structures (An International Journal)*.

Chen, H. & Surana, K. S. (1994). Piecewise Hierarchical p-Version Axisymmetric Solid Element for Laminated Composites. *Computers and Structures (An International Journal)*.

Liu, J. H., & Surana, K. S. (1994). Piecewise Hierarchical p-Version Curved Shell Element for GNL Behavior of Laminated Composites Plates and Shells. *Computers and Structures (An International Journal)*.

Surana, K. S., & Bose, A. (1994). Piecewise Hierarchical p-Version Curved Shell Finite Element for Heat Conduction in Laminated Composites. *Computers and Structures (An International Journal)*.

Liu, J. H., & Surana, K. S. (1994). Piecewise Hierarchical p-Version Axisymmetric Shell Element for Heat Conduction in Laminated Composites. *Computers and Structures (An International Journal)*.

Bell, B. C., & Surana, K. S. (1993). p-Version Space-Time Coupled LSFEF for Unsteady Fluid Dynamics Problems. In *Fluids Engineering Conference, ASME 1993 Forum on Unsteady Fluid Flow, Washington, D.C*.

Fadum, P. & Surana, K. S. (1993). A p-Version Least Squares Finite Element Formulation for Plane Elasto-Statics and Its Application to Laminated Composites. In *16th Annual Energy-Technology Conference and Exhibition, Composite Materials Symposium, Houston, Texas, Jan.21 - Feb.3*.

Bell, B. & Surana, K. S. (1993). A p-Version Space-Time Coupled LSFEF for Two Dimensional Unsteady Newtonian Fluid Flow. In *ASME Winter Annual Meeting, New Orleans, La., Nov. 28- Dec. 3*.

Orth, F. J., & Surana, K. S. (1993). A Three Dimensional Beam Element with Piecewise Hierarchical p-Version Approximation with Interlamina Continuity of Displacements for Laminated Composites. In *16th Annual Energy-Technology Conference and Exhibition, Composite Materials Symposium,
Houston, Texas, Jan.21 - Feb.3*.

Liu, J. H., & Surana, K. S. (1993). Laminated Composite Axisymmetric Shell Element Based on Piecewise Hierarchical p-version Displacement Approximation for GNL Behavior. In *ETC, ASME Symposium on Material, Analysis and Design, New Orleans, La*.

Liu, J. H., & Surana, K. S. (1993). Three Dimensional Curved Shell Element with Piecewise Hierarchical p-Version Approximation with Interlamina Continuity of Displacements for Laminated Composites. In *16th Annual Energy-Technology Conference and Exhibition, Composite Materials Symposium, Houston, Texas, Jan.21 - Feb.3*.

Koilpillai, A. & Surana, K. S. (1993). p-Version Least Squares Finite Element Formulation for Axisymmetric Incompressible Fluid Flow. *Computers and Structures (An International Journal)*.

Wintercheidt, D. L., & Surana, K. S. (1993). p-Version Least Squares Finite Element Formulation for Burgers Equation. *International Journal for Numerical Methods in Engineering*, *Vol. 36*, pp. 3629-3646.

Wintercheidt, D. L., & Surana, K. S. (1993). p-Version Least Squares Finite Element Formulation for Convection-Diffusion Problems. *International Journal for Numerical Methods in Engineering (IJNME)*, *Vol. 36*, pp. 11-133.

Surana, K. S., & Liu, J. H. (1992). p-Version Axisymmetric Shell Element for Geometrically Non-linear Analysis. In *12th Annual International Computers Engineering Conference, San Francisco, Calif., August - 6*.

Surana, K. S., & Orth, N. J. (1992). p-Version Axisymmetrical Shell Element for Non-linear Heat Conduction in Laminated Composites. In *Energy Technology Conference and Exhibition (ETCE) Composite Materials Symposium, Houston Texas, Jan. 26 - 30*.

Surana, K. S., & Orth, F. J. (1992). p-Version Two Dimensional Beam Elements for Geometrically Nonlinear Analysis. In *12th Annual International Computers in Engineering Conference, San Francisco, Calif., August 2 - 6*.

Bose, A. & Surana, K. S. (1992). Axisymmetric Shell Element Based on Piecewise Hierarchical p-Version Approach for Steady State Heat Conduction in Laminated Composites. In *Energy Technology Conference and Exhibition (ETCE) Composite Materials Symposium, Houston Texas, Jan. 26 - 30*.

Liu, J. H., & Surana, K. S. (1992). Laminated Composite Axisymmetric Shell Based on Piecewise Hierarchical p-Version Displacement Approximations. In *Energy Technology Conference and Exhibition (ETCE) Composite Materials Symposium, Houston Texas, Jan. 26 - 30*.

Orth, F. J., & Surana, K. S. (1992). Two Dimensional Laminated Composite Curved Beam Element Based on Piecewise Hierarchical p-Version Displacement Approximation for Linear Static and Geometrically Non-Linear Behavior. In

Bose, A. & Surana, K. S. (1992). p-Version Axisymmetric Shell Element Based on Piecewise Hierarchical Approximation for Steady State Heat Conduction in Laminated Composites. *Computers and Structures (An International Journal)*.

Orth, F. J., & Surana, K. S. (1992). p-Version Two Dimensional Curved Beam Element Using Piecewise Hierarchical Approximation for Laminated Composites. *Computers and Structures, An International Jounal*.

Surana, K. S., & Orth, N. J. (1992). Completely Hierarchical p-version Axisymmetric Shell Element for Non-linear Heat Conduction in Laminated Composites. *Computers and Structures, An International Journal in Press*.

Bose, A. & Surana, K. S. (1992). Piecewise Hierarchical p-Version Axisymmetric Shell Element for Non-linear Heat Conduction in Laminated Composites. *Computers and Structures, An International Journal in Press*.

Liu, J. H., & Surana, K. S. (1992). Piecewise Hierarchical p-Version Axisymmetric Shell Element Formulation for Elastostatics. *Computers and Structures (An International Journal)*.

Sorem, R. M., & Surana, K. S. (1991). p-Version Plate and Curved Shell Element for Geometrically Non-linear Analysis of Laminated Composites. In *First U.S. National Congress on Computational Mechanics, Chicago, July 21 - 24*.

Surana, K. S., & Sorem, R. M. (1991). p-Version Three Dimensional Curved Shell Element for Geometrically Nonlinear Behavior. In *ASCE Engineering Mechanics Specialty Conference, Columbus Ohio, May 19 - 22*.

Wnterscheidt, D. L., & Surana, K. S. (1991). A p-Version Least Squares Finite Element Formulations for Steady State Burgers Equation. In *First National Congress on Computational Mechanics, Chicago, July 21 - 24*.

Surana, K. S., & Bose, A. (1991). Axisymmetric Shell Element Based on Piecewise Hierarchical p-Version Approach for Steady state Heat Conduction in Laminated Composites. In *Eighth International Conference on Mathematical and Computer Modeling, Maryland, April 1 - 4*.

Surana, K. S., & Bose, A. (1991). Axisymmetric Shell Element Based on Piecewise Hierarchical p-Version Approach for Steady State Heat Conduction in Laminated Composites. In *1991 ASME National Heat Transfer Conference, Minneapolis, Minn., July 28 - 31*.

Bona, M. & Surana, K. S. (1991). Computation of Strong Solutions for Problems with Steady and Propagating One- Dimensional Normal Fronts and shocks Using C 1 and C 11 LSFEF and STLSFEF. In *Proceedings of the Symposium on Composite Materials Design and Analysis, ETCE99, ASME, Houston, Texas, Feb. 1-3*.

Liu, J. H., & Surana, K. S. (1991). Three Dimensional Laminated Composite Curved Shell and Plate
Element with Piecewise Hierarchical Displacement Approximation Based on p-Version. In *Eighth International Conference on Mathematical and Computer Modeling, Maryland, April 1 - 4*.

Surana, K. S., & Orth, F. J. (1991). Two Dimensional Laminated Composite Curved Beam Element Based on Piecewise Hierarchical p-Version Displacement Approximation. In *Eighth International Conference on Mathematical and Computer Modeling, Maryland, April 1 - 4*.

Sorem, R. M., & Surana, K. S. (1991). p-Version Plate and Curved Shell Element for Geometrically Non-linear Analysis. *International Journal for Numerical Methods in Engineering (IJNME)*.

Surana, K. S., Gyorog, D. A., & Bose, A. (1991). *Axisymmetric and Planar Linear and Non-linear Heat Conduction with Solid/Liquid Base Phase Using p-Version Finite Element Method*. U.S. Army Armament Research Development and Engineering Center, Picatinny Arsenal, 1991.

Surana, K. S., Gyorog, D. A., & Bose, A. (1991). *Axisymmetric Heat Conduction Including Radiation Effects with Solid/Liquid Phase Change and Temperature Dependent Properties Using p-Version Finite Element Method*. U.S. Army Armament Research Development and Engineering Center, Picatinny Arsenal, 1991.

Surana, K. S., & Orth, N. J. (1990). p-Version Curved Shell Element for Heat Conduction. In *U.S. National Congress of Applied Mechanics, May 21 - 25, Tucson, Ariz*.

Surana, K. S., & Orth, N. J. (1990). p-Version Hierarchical Three Node Axisymmetric Element for Elastostatics. In *ASME Pressure Vessel and Piping Conference, June 17 - 21 Nashville, Tenn*.

Surana, K. S., & Nguyen, S. H. (1990). p-Version Three Dimensional Curved Beam Element for Elastostatics and Elastodynamics including Laminated Composites Properties. In *ASME International Computer in Engineering Conference, Boston, Mass., Aug. 5 - 9*.

Surana, K. S. (1990). p-Version Two and Three Dimensional Hierarchical Curved Beam and Shell Elements. In *International Conference on Advances in Structural Testing, Analysis and Design, Banglore, India,July 29 - Aug.3*.

Surana, K. S., & Nguyen, S. H. (1990). p-Version Two Dimensional Curved Beam Element for Linear Elastodynamics. In *ASME Pressure Vessel and Piping Conference, Nashville, Tenn., June 17 - 21*.

Surana, K. S., & Nguyen, S. H. (1990). Completely Hierarchical p-Version Two Dimensional Curved Beam Element for Laminated Composites. In *Thirteenth Annual energy - Sources and Technology Conference and Exhibition, Composite Materials Technology, New Orleans, LA, Vol. 32, 303 - 314, January* (Vol. 32, pp. 303-314).

Surana, K. S., & Orth, N. J. (1990). Completely Hierarchical Axisymmetric Shell Element Based on p-Version for Heat Conduction in Laminated Composites. In *ASME International Computers in Engineering Conference, Boston, Mass., Aug 5-9*.

Surana, K. S., & Sorem, R. M. (1990). Higher-Order Completely Hierarchical p-Approximation Curved Shell Element for Elastostatics Analysis of Laminated Composite Plates and Shells. In *Thirteenth Annual Energy - Sources and Technology Conference and Exhibition, Composite Materials Technology, New Orleans, La., Vol.32, pp. 273-286, Jan*.

Surana, K. S., & Guo, Y. (1990). p-Version Axisymmetric Solid Element for Heat Conduction. *Computers and Structures (An International Journal)*.

Surana, K. S., & Nguyen, S. H. (1990). p-Version Axisymmetric Solid Element for Heat Conduction.

Surana, K. S., & Guo, Y. (1990). p-Version Axisymmetric Solid Element for Heat Conduction. *Computers and Structures (An International Journal)*.

Surana, K. S., & Orth, N. J. (1990). p-Version Hierarchical Axisymmetric Shell Element. *Computers and Structures (An International Journal)*.

Surana, K. S., & Orth, N. J. (1990). p-Version Hierarchical Axisymmetric Shell Element for Heat Conduction. *Numerical Heat Transfer*.

Surana, K. S., & Sorem, R. M. (1990). p-Version Hierarchical Curved Shell Element for Elastostatics. *International Journal for Numerical Methods in Engineering (IJNME)*.

Surana, K. S., & Orth, N. J. (1990). p-Version Hierarchical Three Dimensional Curved Shell Element for Heat Conduction. *Computational Mechanics*.

Surana, K. S., & Nguyen, S. H. (1990). p-Version Hierarchical Two Dimensional Curved Beam Element for Elastostatics. *Computers and Structures (An International Journal)*, *Vol. 37*(No. 6), pp. 1013-1029.

Surana, K. S., & Teong, K. W. (1990). p-Version Three Dimensional Solid Element for Heat Conduction Based on p-Version. *Computers and Structures (An International Journal)*.

Surana, K. S., & Teong, K. W. (1990). A Twenty-Seven Node Three Dimensional Solid Element for Heat Conduction Based p-Version. *Computers and Structures (An International Journal)*.

Surana, K. S., & Orth, N. J. (1990). Completely Hierarchical Axisymmetric Shell Element Based on p-Version for Heat Conduction in Laminated Composites. *Computers and Structures (An International Journal)*.

Surana, K. S., & Sorem, R. M. (1990). Completely Hierarchical p-Version Curved Shell Element for Laminated Composite Plates and Shells. *Computational Mechanics *.

Surana, K. S., & Nguyen, S. H. (1990). Completely Hierarchical Two Dimensional Curved Beam Element for Dynamics. *Computers and Structures (An International Journal)*.

Surana, K. S., & Sorem, R. M. (1990). Curved Shell Elements Based on Hierarchical p-Approximation in the Thickness Direction for Linear Static Analysis of Laminated Composites. *International Journal for Numerical Methods in Engineering*, *Vol. 29*, pp. 1393-1420.

Surana, K. S., & Sorem, R. M. (1990). Curved Shell Elements for Elastostatics with p-Version in the Thickness Direction. *Computers and Structures (An International Journal)*, *Vol. 36*(No. 4), pp. 701-719.

Surana, K. S., & Ghanem, A. (1990). Curved Shell Elements for Heat Conduction with p-Approximation in the Direction . *Computers and Structures (An International Journal)*, *Vol.34*(No. 6), pp. 861-880.

Surana, K. S., & Nguyen, S. H. (1990). Hierarchical Three Dimensional Curved Beam Element Based on p-Version. *Computational Mechanics*.

Surana, K. S., & Nguyen, S. H. (1990). Three Dimensional Curved Beam Element Based on p-Version for Dynamics. *Computers and Structures (An International Journal)*.

Surana, K. S., & Orth, N. J. (1990). Three Dimensional Curved Shell Element Based on Completely Hierarchical p-Approximation for Heat Conduction in Laminated Composites. *Computers and Structures (An International Journal)*.

Surana, K. S., & Nguyen, S. H. (1990). Two Dimensional Curved Beam Element with Higher Order Hierarchical Transverse Approximation for Laminated Composites. *Computers and Structures (An International Journal)*, *Vol. 36*(No. 3), pp. 499-511.

Surana, K. S., & Orth, N. J. (1990). Three Dimensional Curved Shell Element Based on Completely Hierarchical p-Approximation for Heat Conduction in Laminated Composites. In *Thirteenth Annual Energy - Sources and Technology Conference and Exhibition, Composite Materials Technology, New Orleans, LA, Vol. 32, pp. 287 - 301, January*.

Surana, K. S., & Orth, N. (1989). p-Approximation Axisymmetric Shell elements for Heat Conduction in Laminated Composite. In *Presented at the 26th National Heat Transfer Conference, Philadelphia, Penn*.

Surana, K. S., & Sorem, R. M. (1989). p-Approximations Curved Shell elements for Elastostatic Analysis of Laminated Composites Plates and Shells.. In *1989 PVPD Conference, Honolulu, Hawaii*.

Surana, K. S. (1989). Axisymmetrical Shell elements for Elastostatics with Approximation in the Shell Thickness Direction. In *Presented at the International Symposium on Pressure Vessel Technology and Nuclear Codes and Standard (ASME), Seoul, Korea, April*.

Surana, K. S., & Sorem, R. M. (1989). Order Hierarchical Plates and Curved Shell Elements Based on p-Approximation in the Thickness Direction. In *7th ICMCM Conference, Chicago*.

Surana, K. S., & Sorem, R. M. (1989). Three Dimensional Curved Beam Elements with Large Translations and Rotations. In *Presented at the Twelfth Canadian Congress of Applied Mechanics, May 28 - June 2*.

Surana, K. S., & Nguyen, S. H. (1989). Two Dimensional Curved Beam Element Based on Higher Order Shear Deformable Hierarchical Approximation. In *The Fifth SAS World Congress, Structural Engineering Session, Los Angeles*.

Surana, K. S., & Orth, N. J. (1989). Axisymmetric Shell Elements with p-Approximation in the Thickness Direction. *Computers and Structures (An International Journal)*, *Vol. 33*(No. 3), pp. 689-705.

Lanfenberg, T. L., Smith, H. L., McCabe, S. L., & Surana, K. S. (1988). Optimal Design of Wooden Floor Subsystem. In *Presented at the 1988 International Conference on Timber Engineering and published in Conference Proceedings*.

Surana, K. S. (1987). *Catalog of Isoparametric Finite Elements, Finite Element Handbook* (H. Kardestuncer, Ed.). McGraw Hill.

Surana, K. S., & Phillips, R. (1987). Isoperimetric Solid-Shell Transition Finite elements with Temperatures and Temperature Gradients as Primary Variables. In *Presented at 2nd ASME-JSME Thermal Engineering Joint Conference, Honolulu, Hawaii, March 22 - 27*.

Surana, K. S., & Huels, C. R. (1987). A Least Squares Finite Element Solution for the Inverse Problem of Aquifer Transmissivity. *International Journal of Computers and Structures*.

Surana, K. S., & Louqmane, T. (1987). A Symmetric Finite Element Formulation for the Inverse Problem of Aquifer Transmissivity. *International Journal of Computers and Structures*.

Surana, K. S., & Sorem, R. M. (1987). Geometrically Nonlinear Formulation for the Three Dimensional Curved Beam Elements with Large Rotations. *International Journal for Numerical Methods in Engineering (IJNME)*.

Surana, K. S., & Phillips, R. (1987). Three Dimensional Curved Solid-Shell Transition Finite Elements for Heat Conduction. *Computers and Structures (An International Journal)*, *Vol. 25*(No. 5), pp. 775-785.

Surana, K. S., & Phillips, R. (1987). Three Dimensional Solid-Shell Transition Finite Elements for Heat Conduction. *Computers and Structures (An International Journal)*, *Vol. 26*(No. 6), pp. 941-950.

Surana, K. S., & Perwez, K. (1987). *Isoparametric Line and Transition Finite Elements with Temperature and Temperature Gradients for Axisymmetric and Planar Two- Dimensional Heat Conduction*. Lawrence, Kan.: Computational Mechanics Laboratory, University of Kansas.

Surana, K. S., & Perwez, K. (1986). Isoparametric Axisymmetric Shell Elements with Temperature Gradients for Axisymmetric Heat Conduction. In *Presented at the Eighth International Heat Transfer Conference, San Francisco, Calif., Aug. 17-22*.

Surana, K. S., & Robert, P. (1986). Isoparametric Curved Shells Finite Elements Temperatures and Temperatures Gradients as Primary Variables. In *Presented at the 1986 ASME Winter Annual meeting in Anaheim, Calif*.

Surana, K. S., & Perwez, K. (1986). Line and Transition Finite Elements for Heat Conduction. In *Presented at the First World Congress on Computational Mechanics, University of Texas at Austin, Sept. 22 - 26*.

Surana, K. S. (1986). A Generalized Geometrically Non-Linear Formulation with Large Rotations for Finite Elements with Rotational Degrees of Freedom. *Computers and Structures (An International Journal)*, *Vol. 23*(No. 2), pp. 279-289.

Surana, K. S., & Perwez, K. (1986). Isoparametric Axisymmetric Shell Elements with Temperature Gradients for Heat Conduction. *Computers and Structures (An International Journal)*, *Vol. 23*(No. 2), pp. 279-289.

Surana, K. S., & Perwez, K. (1986). Isoparametric Line and Transition Finite Elements with Temperature and Temperature Gradients as Primary Variables for Two-Dimensional Heat Conduction. *Computers and Structures (An International Journal)*, *Vol. 24*(No. 6), pp. 963-976.

Surana, K. S. (1986). Transition Finite Elements with Temperature and Temperature Gradients as Primary Variables for Axisymmetric Heat Conduction. *Computers and Structures (An International Journal)*, *Vol. 24*(No. 2), pp. 197-212.

Surana, K. S. (1986). *FINESSE (Finite Element Systems) Users Manual *. Lawrence, Kan: University of Kansas, Department of Mechanical Engineering.

Surana, K. S., & Phillips, R. (1986). On the Research and Development of an Analysis Procedure for Rail Anchors. *Technical report for the Unit Rail Anchor Company, Atchison, Kan., University of Kansas Center for Research*.

Surana, K. S., & Perwez, K. (1985). Finite Element Formulation for Axisymmetric Shell Heat Conduction with Temperature Gradients. In *Presented at the Winter Annual Meeting, Miami Beach, Fla., Nov.17-21*.

Surana, K. S. (1985). Geometrically Non-Linear Formulation for Shells and Beams. In *Presented at the International Conference on Finite Elements in Computational Mechanics, Dec 2 - 6 Bombay, India*.

Surana, K. S., & Phillips, R. (1985). *Stress Reduction Resulting from Rail Anchor Design Change*. Technical report for Unit Rail Anchor Company, Atchison, KS.

Surana, K. S. (1984). *Technical report no. ST2418404*. *3-D Solid-Shell Transition Finite Elements*. St. Louis, Mo: Mc Donnell Automation Co.

Surana, K. S. (1984). *Technical report no. ST2418401*. *Axisymmetric Shell Elements*. St. Louis, Mo: Mc Donnell Automation Co.

Surana, K. S. (1984). *Technical report no. ST2418402*. *Axisymmetric Solid Elements*. St. Louis, Mo: Mc Donnell Automation Co.

Surana, K. S. (1984). *Technical report no. ST2418402*. *Axisymmetric Transition Finite Elements*. St. Louis, Mo: Mc Donnell Automation Co.

Surana, K. S. (1984). *FINESSE Theoretical Aspects*. St. Louis, Mo: Published by Mc Donnell Douglas Automation.

Surana, K. S. (1984). *Technical report no. ST2418405*. *Isoparametric Plate Bending Finite Elements*. St. Louis, Mo: Mc Donnell Automation Co.

Surana, K. S. (1983). Geometrically Non-Linear Formulation for the Axi-Symmetric Transition Finite Elements. *Computers and Structures (An International Journal)*, *Vol. 17*(No. 2), pp. 243-255.

Surana, K. S. (1983). Geometrically Non-Linear Formulation for the Curved Shell Elements. *International Journal for Numerical Methods in Engineering*, *Vol.19*, pp. 581-615.

Surana, K. S. (1983). Geometrically Non-Linear Formulation for Two-Dimensional Curved Beam Elements. *Computers and Structures (An International Journal)*, *Vol.17*(No.1), pp.105-114.

Surana, K. S. (1983). *FINESSE (Finite Element System) Users Manual*. St. Louis, Mo: Mc Donnell Douglas Automation Company.

Surana, K. S. (1982). Geometrically Non-Linear Formulations for the Axi-Symmetric Shell Elements. *International Journal for Numerical Methods in Engineering*, *Vol.18*, pp. 447-502.

Surana, K. S. (1982). Non-Linear Formulation for the Three-Dimensional Solid-Shell Transition Finite Elements. *Computers and Structures (An International Journal)*, *Vol.15*(No.5), pp.549-566.

Surana, K. S. (1981). Consistent Mass Matrices for Three-Dimensional Beam Element Due to Distributed and Lumped Non-Structural Mass Systems Acting on its Span. *Computers and Structures (An International Journal)*, *Vol.13*, pp. 515-524.

Surana, K. S. (1980). Transition Finite Elements for Axi-Symmetric Stress Analysis. *International Journal for Numerical Methods in Engineering*, *Vol.15*, pp. 809-832.

Surana, K. S. (1980). Transition Finite Elements for Three-Dimensional Stress Analysis. *International Journal for Numerical Methods in Engineering*, *Vol.15*, pp. 991-1020.

Surana, K. S., Dodds, R. H., & Tsai, C. T. (1979). Curved Shell Element and Its Implementation in McAuto STRUDL. In *Seventh Conference on Electronic Computation, St. Louis, MO*.

Tsai, C. T., & Surana, K. S. (1979). New Curved Shell Elements in MCAUTO STRUDL. In *Presented at 22nd ICES group International Conference, Montreal, Quebec, Canada, Oct. 2-3*.

Surana, K. S. (1979). A General Purpose Free Format Input Data System. *Computers and Structures (An International Journal for Numerical Methods in Engineering)*, *Vol.10*, pp.583-597.

Surana, K. S. (1979). Isoparametric Elements for Cross Sectional Properties and Stress Analysis of Beams. *International Journal for Numerical Methods in Engineering*, *Vol.14*, pp.475-497.

Surana, K. S. (1979). Shape Functions for the Isoparametric Transition Finite Elements for Cross-Sectional Properties and Stress Analysis of Beams. *International Journal for Numerical Methods in Engineering*, *Vol.5*, pp.1403-1407.

Surana, K. S. (1979). *Curved Shell Element-Input/Output Description*. St. Louis, Mo.: Mc Donnell Douglas Automation Company.

Surana, K. S. (1978). Lumped Mass Matrices with Nonzero Inertia for General Shell and Axi-Symmetric Shell Elements. *International Journal for Numerical Methods in Engineering*, *Vol.12*, pp. 1635-1650.

Surana, K. S. (1978). *Theory of Curved Shell Elements*. St. Louis, MO: McDonnell Douglas Automation.

Surana, K. S. (1977). *Theory of Finite Elements for Structural and Heat Transfer Analysis*, Oak Park, Mich.: Punlished by Engineering Mechanics Research Corporation. 182.

Surana, K. S. (1977). *FREE-FORMAT (A Free Format Input Data System for General Purpose Finite Element Computer Programs)*. Oak Park, Mich.: Published by Engineering Mechanics Research Corporation.

Surana, K. S., Parekh, C. J., & Basas, J. E. (1977). *NISA Pre-processing and Post-Processing Programs Manual*. Oak Park, Mich: Published by Engineering Mechanics Research corporation.

Surana, K. S. (1976). *DISPLAY- An Interactive Graphics Program for Finite Elements Systems*. Engineering Mechanics Research Corporation, Oak Park, Mich.

Surana, K. S., & Prabhakaran, R. (1976). *DISPLAY (Interactive Isoparametric Finite Element Graphics Program) Users Manual*. Oak Park, Michigan: Published by Engineering Mechanics Research Corporation.

Surana, K. S., Basas, J. S., Parekh, C. J., & Prabhakaran, R. (1976). *NIESA (Numerically Integrated Elements for System Analysis)*.(First) 355. Oak Park, Mich.: Engineering Mechanics Research Corporation.

Surana, K. S., Basas, J. S., Parekh, C. J., & Prabhakaran, R. (1976). *NIESA (Numerically Integrated Elements for System Analysis)*.(Second) 321. St. Louis, Mo.: Mc Donnell Douglas Automation Company.

Surana, K. S., Basas, J. S., Parekh, C. J., & Prabhakaran, R. (1976). *NIESA (Numerically Integrated Elements for System Analysis)*.(Second) 321. Oak Park, Michigan: Engineering Mechanics Research Corporation,.

Surana, K. S. (1976). *NISAICE (NISA Input Data Checking for Errors) Users Manual*. Oak Park, Mich.: Published by Engineering Mechanics Research Corporation.

Surana, K. S. (1976). *NISAICE (NISA Input Data Checking for Errors) Users Manual *. St. Louis, Mo.: Published by Mc Donnell Douglas Automation Company .

Surana, K. S. (1975). *ISOCROS (Isoparametric Elements for Cross Sectional Properties and Stress Analysis of Beams) Users Manual*. Oak Park, Mich.: Published by Engineering Mechanics Research Corporation.

Surana, K. S., Basas, J. E., & Parekh, C. J. (1975). *Managers Manual for NISA Computer Program*. St. Louis, Mo.: Published by Mc Donnell Douglas Automation Company.

Surana, K. S., Basas, J. S., Parekh, C. J., & Prabhakaran, R. (1975). *NIESA (Numerically Integrated Elements for System Analysis)*.(First) 355. St. Louis, Mo.: Mc Donnell Douglas Automation Company.

Surana, K. S. (1975). *NISA - Examples Manual*. St. Louis, Mo.: Published by Mc Donnell Douglas Automation Company.

Surana, K. S. (1973). *AMSTAR I (American Motors Structural Analysis Program Release I) Users Manual*. 275. Detroit, Mich.: Published by American Motors Corporation.

Surana, K. S., Basas, J. E., & Parekh, C. J. (1973). *Managers Manual for NISA Computer Program*. Oak Park, Mich.: Published by Engineering Mechanics Research Corporation.

Surana, K. S. (1973). *NISA - Examples Manual*. Oak Park, Mich.: Published by Engineering Mechanics Research Corporation.

Surana, K. S. (1972). *Dynamics Analysis of Wankel Engine Rotor Seals*. Cincinnati, Ohio: Structural Dynamics Research Corporation.

Surana, K. S. (1972). *NIESA (Numerically Integrated Elements for System Analysis) Status Report*. Cincinnati, Ohio: Structural Dynamics Research Corporation.

Surana, K. S. (1972). *Thermal Stress Analysis of Wankel Engine Rotor Housing*. Cincinnati, Ohio: Structural Dynamics Research Corporation.

Surana, K. S. (1971). *ELAPS (Elastic Analysis of Plates and Shells) Users Manual *. Cincinnati, Ohio: Published by Structural Dynamics Research Corporation.

Surana, K. S. (1971). *Contact stress Analysis of Rail Road Wheel*. Cincinnati, Ohio: Structural Dynamics Research Corporation.

Surana, K. S. (1971). *Dynamic Analysis of Heat Exchanger Tubes*. Cincinnati, Ohio: Structural Dynamics Research Corporation.

Surana, K. S. (1971). *Heat Transfer Study of a Plastic Clutch Using Finite Difference,Finite Element Lumped Formulations*. Cincinnati, Ohio: Structural Dynamics Research Corporation.

Surana, K. S. (1971). *Static and Dynamic Analysis of Pollution Control Fans*. Cincinnati, Ohio: Published by Structural Dynamics Research Corporation.

Surana, K. S., & Seireg, A. (1971). Design of Rotating Discs with Integral Shafts. *Journal of Engineering for Industry*, *93*(Series B, No.3), 805-813.

Surana, K. S. (1970). *QASOR (Quick Analysis of Shells of Revolution) Users Manual *. Cincinnati, Ohio: Published by Structural Dynamics Research Corporation.

Surana, K. S. (1970). *Generalized Theory of Finite Elements*. Cincinnati, Ohio: Published by Structural Dynamics Research Corporation.

Surana, K. S., & Seireg, A. (1970). Optimum Design of Rotating Discs. *Journal of Engineering for Industry, Trans. ASME Series B*, *92*(No.1 ), 1-10.

Surana, K. S., & Seireg, A. (1969). Rational Design of Reinforcement for Open Crown Hemispherical Vessel with Cylindrical Nozzles and Skirts. In *Presented at the First International Conference of Pressure Vessel Technology arranged by KoninKlul Instituut Van Ingenieurs and the American Society of mechanical Engineers at Delft, Netherlands*.