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.
Current specific interests include: mathematical analysis of dual
formulations of the two-body contact problem; development and finite element
implementation of anisotropic plasticity models with smooth pressure and
traction interpolations and stick-slip constraints; investigation of
nodally-based contact finite elements for frictionless contact;
time-integration of the equations of motion under conditions of dynamic contact;
the simulation of automobile disc brakes with the goal of detecting the onset
of brake squeal.