Compact bone: numerical simulation of mechanical characteristics

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Crolet, J. M.¹; Aoubiza, B.¹; Meunier, A.²

Compact bone: numerical simulation of mechanical characteristics

J Biomech. June 1993;26(6):677-687

Affiliations

¹Laboratoire de Calcul Scientifique, Université de Franche-Comté, 16 Route de Gray, La Bouloie, 25030 Besancon, France

²Laboratoire de Recherches Orthopédiques, URA CNRS 1432. Faculté de Médecine Lariboisère St Louis, 10 Avenue de Verdun, 75010 Paris, France
Abstract

One of the main difficulties encountered in the numerical simulation of the anisotropic elastic characteristics of compact bone is to account for the Haversian microstructure when determining the overall macroscopic behavior. Engineering analyses of such problems are usually based on ‘homogenized approximations’. Compact bone is not exactly a composite material, but rather a heterogeneous medium which exhibits a multiscale composite structure. If the homogenized approximation is precise enough (and this is true for the mathematical theory of homogenization), it is then possible to simulate the macroscopic behavior from the microscopic mechanical characteristics. The present paper is devoted to such mathematical developments. Moreover, the ‘inverse simulation’ allows the computation of the microscopic stress fields in the haversian structure from the macroscopic stress fields, taking into account bone microstructure.
Links

DOI: 10.1016/0021-9290(93)90031-9

PubMed: 8390470

WoS: A1993LB82000006
History

Revised: 1992-11-18

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