Optimal Control of Static Elastoplasticity in Primal Formulation
Abstract
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 the C-stationarity system for the equivalent dual formulation of the problem is proved. Numerical experiments are presented, which demonstrate the viability of the Huber-type smoothing approach.
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Information & Authors
Information
Published In
SIAM Journal on Control and Optimization
Pages: 3016 - 3039
DOI: 10.1137/130920861
ISSN (online): 1095-7138
Copyright
© 2016, Society for Industrial and Applied Mathematics.
History
Submitted: 13 May 2013
Accepted: 14 September 2016
Published online: 10 November 2016
Keywords
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Deutsche Forschungsgemeinschaft http://doi.org/10.13039/501100001659 : SPP1253
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