B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening

Optimal control problems for the variational inequality of static elastoplasticity with linear kinematic hardening are considered. The control-to-state map is shown to be weakly directionally differentiable, and local optimal controls are proved to verify an optimality system of B-stationary type. F...

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Bibliographic Details
Published in:SIAM journal on optimization 2013-01, Vol.23 (1), p.321-352
Main Authors: Herzog, Roland, Meyer, Christian, Wachsmuth, Gerd
Format: Article
Language:English
Subjects:
Applied mathematics
Control systems
Elastoplasticity
Hardening
Inequalities
Kinematics
Optimal control
Optimization
Plasticity
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Summary:Optimal control problems for the variational inequality of static elastoplasticity with linear kinematic hardening are considered. The control-to-state map is shown to be weakly directionally differentiable, and local optimal controls are proved to verify an optimality system of B-stationary type. For a modified problem, local minimizers are shown to even satisfy an optimality system of strongly stationary type. [PUBLICATION ABSTRACT]
ISSN:1052-6234
1095-7189
DOI:10.1137/110821147