Multi-scale modelling of the trabecular bone elastoplastic behaviour under compression loading
DOI:
https://doi.org/10.13052/17797179.2012.731255Keywords:
porous media, micromechanics, MCK criterion, trabecular bone, homogenisationAbstract
We propose a new elastoplastic damage coupled model for the modelling of trabecular bone behaviour. The damage is carried out thanks to the limit analysis based on the MCK 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 present 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 UMAT routine within the explicit dynamic code LS-DYNA. The proposed micromechanical model has been applied successfully for the modelling of some biomechanics applications to estimate the mechanical properties of the bovine trabecular bone.
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