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Using constitutive equation gap method for identification of elastic material parameters: technical insights and illustrations

International Journal on Interactive Design and Manufacturing (IJIDeM) volume 5, pages 227–234 (2011)Cite this article

Abstract

The constitutive equation gap method (CEGM) is a well-known concept which, until now, has been used mainly for the verification of finite element simulations. Recently, CEGM-based functional has been proposed to identify local elastic parameters based on experimental full-field measurement. From a technical point of view, this approach requires to quickly describe a space of statically admissible stress fields. We present here the technical insights, inspired from previous works in verification, that leads to the construction of such a space. Then, the identification strategy is implemented and the obtained results are compared with the actual material parameters for numerically generated benchmarks. The quality of the identification technique is demonstrated that makes it a valuable tool for interactive design as a way to validate local material properties.

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Authors and Affiliations

  1. LMT-Cachan (ENS Cachan/CNRS/UPMC/PRES UniverSud Paris), 61, avenue du Président Wilson, 94235, Cachan, France

    Eric Florentin

  2. COHMAS-Physical Science and Engineering Division, KAUST, Thuwal, 23955-6900, Kingdom of Saudi Arabia

    Gilles Lubineau

Authors
  1. Eric Florentin
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  2. Gilles Lubineau
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Correspondence to Eric Florentin.

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Florentin, E., Lubineau, G. Using constitutive equation gap method for identification of elastic material parameters: technical insights and illustrations. Int J Interact Des Manuf 5, 227–234 (2011). https://doi.org/10.1007/s12008-011-0129-5

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  • DOI: https://doi.org/10.1007/s12008-011-0129-5

Keywords

  • Identification
  • Admissible field construction
  • Finite elements