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

Abstract

This article is devoted to a new method to find defects in some elastic-plastic structure in the antiplane case from overdetermined data on a subpart of its boundary. This iterative method merges the method of quasi-reversibility 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.

Keywords:

• inverse problem
• elastic-plastic law
• quasi-reversibility
• level set technique

AMS Subject Classifications::

• 35A15
• 35N25
• 35R25
• 35R30
• 35R35
• 65M60
• 74C05