مدلسازي المان محدود سه فازي ديسك بين مهره اي براي كاربرد در مطالعات بيومكانيكي مهندسي بافت

Triphasic Finite Element Modeling of Intervertebral Discs for Biomechanical Studies in Tissue Engineering

According to mechanobilogical studies as an infrastructure for tissue engineering researches, this paper presents a triphasic finite element modeling of intervertebral discs such a hydrated porous soft tissue. First, the governmental equations were derived on the basis of the laws of continuum mechanics. Then the standard Galerkin weighted residual method was used to form the finite element model. The implicit time integration schemes were applied to solve the nonlinear equations. The formulation accuracy and convergence for one dimensional case were examined with Simonʹs and Sunʹs analytical solutions and also Drostʹs experimental Data. It was shown that the mathematical model is in excellent agreement and has the capability to simulate the intervertebral disc response under different types of mechanical and electrochemical loading conditions. Finally, to have a short review of the capability of the model, a homogenous two dimensional version of the model was applied to simulate the response of a simple sagittal slice of the intervertebral disc.