The constitutive compatibility method for identification of material parameters based on full-field measurements

Ali Moussawi, Gilles Lubineau, Éric Florentin, Benoît Blaysat

Research output: Contribution to journalArticlepeer-review

42 Scopus citations

Abstract

We revisit here the concept of the constitutive relation error for the identification of elastic material parameters based on image correlation. An additional concept, so called constitutive compatibility of stress, is introduced defining a subspace of the classical space of statically admissible stresses. The key idea is to define stresses as compatible with the observed deformation field through the chosen class of constitutive equation. This makes possible the uncoupling of the identification of stress from the identification of the material parameters. As a result, the global cost of the identification is strongly reduced. This uncoupling also leads to parametrized solutions in cases where the solution is non-unique as demonstrated on 2D numerical examples. © 2013 Elsevier B.V.
Original languageEnglish (US)
Pages (from-to)1-14
Number of pages14
JournalComputer Methods in Applied Mechanics and Engineering
Volume265
DOIs
StatePublished - Oct 2013

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Computational Mechanics
  • Computer Science Applications

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