Goal-oriented strategy for the updating of mechanical models

Ludovic Chamoin (1) , Pierre Ladevèze (1) , Julien Waeytens (2)

1 LMT - Laboratoire de Mécanique et Technologie
2 IFSTTAR/COSYS/LISIS - Laboratoire Instrumentation, Simulation et Informatique Scientifique

A major concern with mathematical models is their capability of these models to represent a faithful abstraction of the real world. To address this issue and control the error between physical and mathematical models, model validation methods have been used for a long time. In such methods, model parameters are identified or updated in order to minimize the discrepancy between numerical predictions and experimental measurements. The process leads to inverse problems which are usually ill-posed and require special care and specific techniques, such as regularization techniques, in order to ensure solvability. We focus on Computational Mechanics models, in which a major component is the constitutive equation that describes the local behavior of the material. It is characterized by a set of material parameters whose values may highly influence results given by numerical simulations, and thus need to be calibrated using experimental data. The model calibration method we consider uses the concept of Constitutive Relation Error (CRE). The use of the CRE presents interesting advantages; it has excellent capacities to localize structural defects spatially, it is very robust with respect to noisy measurements, and it has good convexity properties. Furthermore, the hierarchic updating in the CRE methid (only most erroneous zones are corrected) is a strategy that directly leads to a regularization process.

Mots clés: MODELE MECANIQUE; LOI DE COMPORTEMENT; SENSIBILITE; MISE A JOUR

Domaines: Mécanique [physics.med-ph]

Ludovic Chamoin, Pierre Ladevèze, Julien Waeytens. Goal-oriented strategy for the updating of mechanical models. WCCM XI - 11th World Congress on Computational Mechanics, Jul 2014, BARCELONE, Spain. 2 p. ⟨hal-01213489⟩