Reconstruction of a constitutive law for rubber from in silico experiments using Ogden's laws. (1st June 2015)

• Record Type: Journal Article
• Authors: de Buhan, Maya; Gloria, Antoine; Le Tallec, Patrick; Vidrascu, Marina
• Is Part Of: International journal of solids and structures. Volume 62(2015)
• Page Start: 158
• Page End: 173
• Publication Date: 2015-06-01
• Subjects: Parameter estimation -- Multiscale modeling -- Rubber elasticity -- Polymer physics; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2015.02.026
• Languages: English
• ISSNs: 0020-7683

Abstract

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.