Research Expertise and Interest
continuum mechanics, computational mechanics, contact mechanics, computational plasticity, materials modeling, solid mechanics, applied mathematics, dynamics of pseudo-rigid bodies
Computational Plasticity , This research focuses on finite element-based methods for the simulation of problems of infinitesimal and finite plasticity within the context of the strain-space formulation. Research in infinitesimal plasticity concentrates on issues of stability and accuracy of the algorithms used in the integration of the underlying differential/algebraic equations, as well as solveability issues concerning non-associative models. Research in finite plasticity concerns the derivation and numerical implementation of theoretically sound and physically plausible models for analysis of the elastic-plastic response of metallic bodies that undergo finite deformations. , , Materials Modeling , This research concerns the combined experimental, analytical and computational study of superelasticity in metal alloys, especially NiTi and CuZnAl. . , , Contact/Impact for Finitely Deforming Solids , This research concerns the development and analysis of finite element-based methods for the solution of contact/impact problems between bodies that may undergo large motions and deformations. Much of the work concentrates on formulations that employ Lagrange multipliers to enforce the constraint(s) of impenetrability. Emphasis is placed on the development of methodologies that are rigorous, robust and suitable for large-scale computations. , , Continuum Mechanics , Various aspects of continuum mechanics are researched, especially in connection with problems of computational interest. Current specific interests include: development of fibrous solid models to analyze the mechanical response of penetration-resistant materials, such as Kevlar. , , Dynamics of Pseudo-Rigid Bodies , Research in the dynamics of coarsely deformable continua, such as pseudo-rigid bodies, is driven by the need to develop inexpensive, yet sufficiently accurate models of particulates that may undergo "long" motions involving boundary interaction (i.e., contact). Representative applications include the flow of rocks, sands, and aggregates, the dynamics of traffic accidents involving platoons of vehicles, etc.