Optimal Control of Static Elastoplasticity in Primal Formulation

@article{Reyes2016OptimalCO,
  title={Optimal Control of Static Elastoplasticity in Primal Formulation},
  author={Juan Carlos de los Reyes and Roland Herzog and Christian Meyer},
  journal={SIAM J. Control. Optim.},
  year={2016},
  volume={54},
  pages={3016-3039}
}
An optimal control problem of static plasticity with linear kinematic hardening and von Mises yield condition is studied. The problem is treated in its primal formulation, where the state system is a variational inequality of the second kind. First-order necessary optimality conditions are obtained by means of an approximation by a family of control problems with state system regularized by Huber-type smoothing, and a subsequent limit analysis. The equivalence of the optimality conditions with… 

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