WIAS Preprint No. 1370, (2008)

Optimal control of static plasticity with linear kinematic hardening


  • Griesse, Roland
  • Meyer, Christian

2010 Mathematics Subject Classification

  • 49J40 49M30 35J85 35Q72


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




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.

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