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Parameter identification problems for elastic large deformations - Part I: model and solution of the inverse problem

In this paper we discuss the identification of parameter functions in material models for elastic large deformations. A model of the the forward problem is given, where the displacement of a deformed material is found as the solution of a n onlinear PDE. Here, the crucial point is the definition of the 2nd Piola-Kirchhoff stress tensor by using several material laws including a number of material parameters. In the main part of the paper we consider the identification of such parameters from measured displacements, where the inverse problem is given as an optimal control problem. We introduce a solution of the identification problem with Lagrange and SQP methods. The presented algorithm is applied to linear elastic material with large deformations.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:ch1-200901869
Date20 November 2009
CreatorsMeyer, Marcus
ContributorsTU Chemnitz, Fakultät für Mathematik
PublisherUniversitätsbibliothek Chemnitz
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:preprint
Formatapplication/pdf, text/plain, application/zip
RightsDokument ist für Print on Demand freigegeben
Relationdcterms:isPartOf:Chemnitz Scientific Computing Preprints ; 09-05

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