On estimation of internal state by an optimal control approach for elastoplastic material

Claude  Stolz

doi:10.3934/dcdss.2016014

Article Contents

2016, Volume 9, Issue 2: 599-611. Doi: 10.3934/dcdss.2016014

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On estimation of internal state by an optimal control approach for elastoplastic material

Claude Stolz^1,

1.
GeM, UMR CNRS 6183,1 rue de la Noe, F-44321 Nantes, EdF-CEA-ENSTA UMR CNRS 8193, 1 avenue General Leclerc, F- 92141 Clamart

Received: September 30, 2014

Revised: October 31, 2015

Published: March 2016

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Abstract

After a general formulation of the evolution of an elastoplastic body using duality based on the constitutive behaviour, some classes of inverse problems (estimation of the internal state, determination of an unknown history, ...) for such materials are investigated. A general formulation based on optimal control is proposed, the control variables are related to the internal state. In each class of inverse problem, the solution is obtained by introducing a adjoin state and a suitable cost function.

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Mathematics Subject Classification: 74CXX, 49-XX, 49-N45.

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