WIAS Preprint No. 1370, (2008)

Optimal control of static plasticity with linear kinematic hardening


Authors

  • Griesse, Roland
  • Meyer, Christian

2010 Mathematics Subject Classification

  • 49J40 49M30 35J85 35Q72

Keywords

  • Optimal control of variational inequalities, static plasticity, Yosida approximation

DOI

10.20347/WIAS.PREPRINT.1370

Abstract

An optimal control problem for the static problem of infinitesimal elastoplasticity with linear kinematic hardening is considered. The variational inequality arising on the lower-level is regularized using a Yosida-type approach, and an optimal control problem for the so-called viscoplastic model is obtained. Existence of a global optimizer is proved for both the regularized and original problems, and strong convergence of the solutions is established.

Download Documents