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Article Dans Une Revue International Journal of Solids and Structures Année : 2015

Reconstruction of a constitutive law for rubber from in silico experiments using Ogden's laws

Résumé

This article deals with the following data assimilation problem: construct an analytical approximation of a numerical constitutive law in three-dimensional nonlinear elasticity. More precisely we are concerned with a micro-macro model for rubber. Macroscopic quantities of interest such as the Piola-Kirchhoff stress tensor can be approximated for any value of the strain gradient by numerically solving a nonlinear PDE. This procedure is however computationally demanding. Hence, although conceptually satisfactory, this physically-based model is of no direct practical use. The aim of this article is to circumvent this difficulty by proposing a numerical strategy to reconstruct from in silico experiments an accurate analytical proxy for the micro-macro constitutive law.
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Dates et versions

hal-00933240 , version 1 (20-01-2014)

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Maya de Buhan, Antoine Gloria, Patrick Le Tallec, Marina Vidrascu. Reconstruction of a constitutive law for rubber from in silico experiments using Ogden's laws. International Journal of Solids and Structures, 2015, pp.16. ⟨10.1016/j.ijsolstr.2015.02.026⟩. ⟨hal-00933240⟩
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