Synergies between the constitutive relation error concept and PGD model reduction for simplified V&V procedures

The paper deals with the constitutive relation error (CRE) concept which has been widely used over the last 40 years for verification and validation of computational mechanics models. It more specifically focuses on the beneficial use of model reduction based on proper generalized decomposition (PGD...

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Bibliographic Details
Published in:Advanced modeling and simulation in engineering sciences 2016-06, Vol.3 (1), Article 18
Main Authors: Chamoin, Ludovic, Allier, Pierre-Eric, Marchand, Basile
Format: Article
Language:English
Subjects:
Advances in Computational Mechanics: Issue in honor of Prof. Ladeveze on the occasion of his 70th anniversary
Classical and Continuum Physics
Computational Science and Engineering
Engineering
Engineering Sciences
Materials and structures in mechanics
Mechanics
Research Article
Theoretical and Applied Mechanics
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Summary:The paper deals with the constitutive relation error (CRE) concept which has been widely used over the last 40 years for verification and validation of computational mechanics models. It more specifically focuses on the beneficial use of model reduction based on proper generalized decomposition (PGD) into this CRE concept. Indeed, it is shown that a PGD formulation can facilitate the construction of so-called admissible fields which is a technical key-point of CRE. Numerical illustrations, addressing both model verification and model updating, are presented to assess the performances of the proposed approach.
ISSN:2213-7467
2213-7467
DOI:10.1186/s40323-016-0073-9