Real-time validation of mechanical models coupling PGD and constitutive relation error

Authors:
Robin Bouclier;François Louf;Ludovic Chamoin
Affiliations:
LMT-Cachan (ENS Cachan/CNRS/Paris 6 University), Cachan Cedex, France 94235;LMT-Cachan (ENS Cachan/CNRS/Paris 6 University), Cachan Cedex, France 94235;LMT-Cachan (ENS Cachan/CNRS/Paris 6 University), Cachan Cedex, France 94235
Venue:
Computational Mechanics
Year:
2013

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Abstract

In this work, we introduce a general framework that enables to perform real-time validation of mechanical models. This framework is based on two main ingredients: (i) the constitutive relation error which constitutes a convenient and mechanically sound tool for model validation; (ii) a powerful method for model reduction, the proper generalized decomposition, which is used to compute a solution with separated representations and thus to run the validation process quickly. Performances of the proposed approach are illustrated on machining applications.