About identification of defects in an elastic-plastic medium from boundary measurements in the antiplane case

Laurent Bourgeois 1 Jérémi Dardé 1, 2
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : This article is devoted to a new method to find defects in some elasticplastic structure in the antiplane case from overdetermined data on a subpart of its boundary. This iterative method merges the method of quasireversibility and a simple level set technique. The foundations of the method are justified from a theoretical point of view and its efficiency is shown with the help of numerical experiments. © 2011 Taylor & Francis.
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Laurent Bourgeois, Jérémi Dardé. About identification of defects in an elastic-plastic medium from boundary measurements in the antiplane case. Applicable Analysis, Taylor & Francis, 2011, 90 (10), pp.1481-1497. 〈10.1080/00036811.2010.549481〉. 〈hal-00849572〉

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