Vol. 10, No. 3, 2015

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ISSN: 1559-3959
Some applications of optimal control to inverse problems in elastoplasticity

Claude Stolz

Vol. 10 (2015), No. 3, 411–432
DOI: 10.2140/jomms.2015.10.411
Abstract

The aim of this paper is to present the applications of the optimal control theory to solve several inverse problems for elastoplastic materials and structures. The optimal control theory permits to determine the internal state of a body from the knowledge both of the initial and the final, residual, geometry resulting from an unknown loading history.

Keywords
elastoplasticity, inverse problem, adjoint problem, optimal control
Milestones
Received: 26 March 2014
Revised: 6 February 2015
Accepted: 13 March 2015
Published: 26 August 2015
Authors
Claude Stolz
GeM UMR CNRS 6183
1, rue de la Noë
44321 Nantes
France
IMSIA UMR-CNRS 9219
EdF
1, Av. General Leclerc
92141 Clamart
France