DDM-based sensitivity analysis and optimization for smooth contact formulations

Abstract

Sensitivity analysis (SA) is developed for three-dimensional multi-body frictional contact problems. The direct differentiation method (DDM) is applied to obtain response sensitivities with respect to arbitrary design parameters (parameter and shape SA). The FE formulation of contact employs smoothing of the master surface, and the augmented Lagrangian technique is used to enforce the contact and friction conditions. Numerical examples, including application for optimization, illustrate the approach. © Springer 2006.