Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6748882 | International Journal of Solids and Structures | 2015 | 16 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Engineering
Civil and Structural Engineering
Authors
Maya de Buhan, Antoine Gloria, Patrick Le Tallec, Marina Vidrascu,