[en] Finite element (FE) models accurately compute the mechanical response of bone and bone-like materials when the models include their detailed microstructure. In order to simulate non-linear behavior, which currently is only feasible at the expense of extremely high computational costs, coarser models can be used if the local morphology has been linked to the apparent mechanical behavior. The aim of this paper is to implement and validate such a constitutive law. This law is able to capture the non-linear structural behavior of bone-like materials through the use of fabric tensors. It also allows for irreversible strains using an elastoplastic material model incorporating hardening. These features are expressed in a constitutive law based on the anisotropic continuum damage theory coupled with isotropic elastoplasticity in a finite strains framework. This material model was implemented into Metafor, a non-linear FE software. The implementation was validated against experimental data of cylindrical samples subjected to compression. Three materials with bone-like microstructure were tested : aluminum foams of variable density (ERG, Oakland, CA), PLA (polylactic acid) foam (CERM, University of Liège) and cancellous bone tissue of a deer antler (Faculty of Veterinary Medicine, University of Liège).
Mengoni, Marlène ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire
Voide, Romain; Eidgenössische Technische Hochschule Zurich - ETH > Institute for Biomechanics
de Bien, Charlotte ; Université de Liège - ULiège > Département de chimie appliquée > Génie chimique - Procédés et développement durable
Freichels, Hélène; Université de Liège - ULiège > Département de chimie (sciences) > Centre d'études et de rech. sur les macromolécules (CERM)
Jérôme, Christine ; Université de Liège - ULiège > Département de chimie (sciences) > Centre d'études et de rech. sur les macromolécules (CERM)
Léonard, Angélique ; Université de Liège - ULiège > Département de chimie appliquée > Génie chimique - Procédés et développement durable
Toye, Dominique ; Université de Liège - ULiège > Département de chimie appliquée > Génie de la réaction et des réacteurs chimiques
van Lenthe, Gerrit Hendrik; Katholieke Universiteit Leuven - KUL > Department of Mechanical Engineering > Biomechanics and Engineering Design Section - BMGO
Müller, Ralph; Eidgenössische Technische Hochschule Zurich - ETH > Institute for Biomechanics
Ponthot, Jean-Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire
Language :
English
Title :
A non-linear homogeneous model for bone-like materials under compressive load.
Publication date :
February 2012
Journal title :
International Journal for Numerical Methods in Biomedical Engineering
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