Stress and Strain Distribution of an Anisotropic Bone
Lucas Lisbôa Vignoli1; Paulo Pedro Kenedi2
1 Puc-Rio; 2 CEFET/RJ
doi:10.20906/CPS/COB-2015-0249
Resumo
In this work two analytical models were proposed to biomechanical applications, using solid mechanics and theory of elasticity, to estimate the principal stress and strain distribution, and respective principal angles, at a bone medial cross section external surface. To validate the proposed analytical models, a finite element (FE) model of a long bone, with real geometry and same applied static loads, is provided. For the analytical solid mechanics model, the bone material was assumed as isotropic and for the analytical model based in theory of elasticity the bone material was set as orthotropic, defined according to the radial, tangential and longitudinal directions. Although real human femur geometry has a quite irregular shape, the analyzed medial bone cross section was modeled as a hollow circular pattern. Both analytical and F,E, models results showed that the principal stress and strain angles were compatible with actual dominant osteonal bone range angles.
Palavras-chave: anisotropy; analyitical model; finite element