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Optimal Control of Quasi-static Plasticity with Linear Kinematic Hardening, Part I: Existence and Discretization in Time

  • In this paper we consider an optimal control problem governed by a time-dependent variational inequality arising in quasi-static plasticity with linear kinematic hardening. We address certain continuity properties of the forward operator, which imply the existence of an optimal control. Moreover, a discretization in time is derived and we show that every local minimizer of the continuous problem can be approximated by minimizers of modified, time-discrete problems.

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Metadaten
Author: Gerd WachsmuthORCiD
DOI:https://doi.org/10.1137/110839187
ISSN:0363-0129
ISSN:1095-7138
Title of the source (English):SIAM Journal on Control and Optimization
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2012
Tag:complementarity condition; evolution variational inequality; mathematical program with complementarity constraints; quasistatic plasticity; rate-dependent; time-dependent variational inequality
Volume/Year:50
Issue number:5
First Page:2836
Last Page:2861
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Optimale Steuerung
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