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.
Author: | Gerd WachsmuthORCiD |
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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 |