Karan S. Surana

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