Multiscale finite element modelling of ductile damage behaviour of the human femur under dynamic loading

Abstract

International audienceIn this paper, we propose a new multiscale finite element methodology based on a recently developed micromechanical damage model for the modelling of the human bone behaviour under dynamic loading. The damage is carried out by the framework of the limit analysis based on the MCK (Monchiet, Charkaluk and Kondo) criterion. We first present the methodology allowing the estimation of elastic anisotropic properties of porous media by means of Mori-Tanaka homogenisation scheme. Then, we develop the formulation of the integrated yield criterion derived by considering trial velocity field inspired from the Eshelby inhomogeneous inclusion solution. The obtained micromechanical model is implemented via a User Material routine within the explicit dynamic code LS-DYNA (c). The proposed micromechanical model has been applied successfully for the estimation of the mechanical properties of a human proximal femur under dynamic loading. From the obtained numerical results, it has been shown that the present model has improved the strength prediction of osteoporotic femurs by representing the failure risk in a more realistic approach

Micromechanical modeling of ductile fracture of human humerus

“…The present investigation shows the theoretical formulation, the numerical development and the experimental validation of a ductile damage and fracture model applied to the human humerus bone in the thermodynamics framework [9]. As the bone architecture has a matrix-inclusion morphology, the Mori-Tanaka homogenization scheme [10] was proposed for the modeling of the elastic behavior [11,12]. For the non linear behavior, the macroscopic tangent operator was formulated.…”

A multi-dimensional space method for dynamic cracks problems using implicit time scheme in the framework of the extended finite element method

“…The dynamic behaviors of solid materials (Allix, 2013;Li et al, 2003;Naceur et al, 2014) are of great interest in several areas of science and engineering, such as impacts, crashes or explosions. The traditional finite element method (FEM), which is highly suited for the approximation of smooth solutions (Belhouari et al, 2014;Belytschko et al, 2000;Fries, 2008;Zienkiewicz and Taylor, 2000), was universally applied to investigate such problems.…”