Journal
COMPTES RENDUS MECANIQUE
Volume 340, Issue 8, Pages 575-589Publisher
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crme.2012.05.003
Keywords
Biomechanics; Second gradient continuum mixture model; Hierarchically heterogeneous materials; Micro-structure-related size effects; Natural bone tissue; Bio-resorbable material; Bone resorption and synthesis; Load-induced replacement of artificial material with natural bone tissue; Numerical simulations
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We propose a second gradient, two-solids, continuum mixture model with variable masses to describe the effect of micro-structure on mechanically-driven remodelling of bones grafted with bio-resorbable materials. A one-dimensional numerical simulation is addressed showing the potentialities of the proposed generalized continuum model. In particular, we show that the used second gradient model allows for the description of some micro-structure-related size effects which are known to be important in hierarchically heterogeneous materials like reconstructed bones. Moreover, the influence of the introduced second gradient parameters on the final percentages of replacement of artificial bio-material with natural bone tissue is presented and discussed. (c) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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