Current Research Work Current projects include the formulation of various large strain nonlinear material constitutive equations for finite element applications. In particular, hyperelasticity, creep, viscoplasticity and anisotropic plasticity models are examined. The objective is to establish reliable and efficient numerical algorithms that provides accurate physical quantities in large scale finite element applications. Modeling of friction behavior, and formulation of coupled thermomechanical problems are also being investigated. In the area of fracture mechanics, the FEM is coupled with nonlinear optimization techniques to study inverse problems of parameter identification and crack propagation.
Special interest is focused on studying fracture measures and crack growth in composite materials.
In the area of design optimization, research interest is focused on the use of finite elements for shape optimization, and design sensitivity analysis for large scale problems. Solution of Inverse Parameter Identification Problems using FEM, Submitted for Publication in J. of Engng. Alternative Formulation Methods for the Analysis of Hyper-elastic Materials. On the Solution of Viscoplastic and Creep Problems. A Unified Numerical Treatment for Hyperelastic and Rubber-like Constitutive Laws.