Reconstruction of a constitutive law for ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Reconstruction of a constitutive law for rubber from in silico experiments using Ogden's laws
Auteur(s) :
de Buhan, Maya [Auteur]
Mathématiques Appliquées Paris 5 [MAP5 - UMR 8145]
Gloria, Antoine [Auteur]
Département de Mathématique [Bruxelles] [ULB]
Quantitative methods for stochastic models in physics [MEPHYSTO]
Le Tallec, Patrick [Auteur]
Laboratoire de mécanique des solides [LMS]
Vidrascu, Marina [Auteur]
Numerical simulation of biological flows [REO]
Mathématiques Appliquées Paris 5 [MAP5 - UMR 8145]
Gloria, Antoine [Auteur]
Département de Mathématique [Bruxelles] [ULB]
Quantitative methods for stochastic models in physics [MEPHYSTO]
Le Tallec, Patrick [Auteur]
Laboratoire de mécanique des solides [LMS]
Vidrascu, Marina [Auteur]
Numerical simulation of biological flows [REO]
Titre de la revue :
International Journal of Solids and Structures
Pagination :
16
Éditeur :
Elsevier
Date de publication :
2015
ISSN :
0020-7683
Mot(s)-clé(s) en anglais :
multiscale modelling
polymer physics
paramater estimation
polymer physics.
rubber elasticity
polymer physics
paramater estimation
polymer physics.
rubber elasticity
Discipline(s) HAL :
Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Mathématiques [math]/Probabilités [math.PR]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Mathématiques [math]/Probabilités [math.PR]
Résumé en anglais : [en]
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 ...
Lire la suite >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.Lire moins >
Lire la suite >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.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
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