Open Access

ARTICLE

Methodology for Numerical Simulation of Trabecular Bone Structures Mechanical Behavior

M.A. Argenta¹, A.P. Gebert², E.S. Filho³, B.A. Felizari⁴, M.B. Hecke⁵

1 PPGMNE, UFPR, Polytechnic Center - CESEC, Curitiba, Parana, Brazil.
2 Department of Odontology, PUC, Curitiba, Parana, Brazil.
3 Vita Hospital, BR 116, Curitiba, Parana, Brazil.
4 Civil Engineering, UFPR, Polytechnic Center - CESEC, Curitiba, Parana, Brazil.
5 Civil Construction Department, UFPR, CESEC, Curitiba, Parana, Brazil.

Computer Modeling in Engineering & Sciences 2011, 79(3&4), 159-182. https://doi.org/10.3970/cmes.2011.079.159

Abstract

Various methods in the literature proposesequations to calculate the stiffness as a function of density of bone tissue such as apparent density and ash density among others[Helgason, Perilli, Schileo, Taddei, Brynjolfsson and Viceconti, 2008]. Other ones present a value of an equivalent elasticity modulus, obtained by statistical adjustments of curves generated through mechanical compression tests over various specimens[Chevalier, Pahr, Allmer, Charlebois and Zysset, 2007; Cuppone, Seedhom, Berry and Ostell, 2004]. Bone tissue is a material withdifferent behaviors according to the scale of observation. It has a complex composite hierarchical structure, which is responsible for assign optimal mechanical properties. Its characteristics, composition and mechanical properties depend on the level at which the material is evaluated[Fritsch and Hellmich, 2007; Hamed, Lee and Jasiuk, 2010]. This paper presents a methodology for computational mechanical simulation of trabecular bones based on the mechanical properties of their elements, hydroxyapatite, type I collagen and non-collagenous proteins with water, and the concentration of these ones obtained by microtomography.

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