软组织结构动力分析的两种有限元解法

Two Finite Element Methods for Dynamic Analysis of Soft Tissue Structures

针对人体肌骨软组织小变形线性双相模型，采用Ｇａｌｅｒｋｉｎ加权残值法，导出了两种求解软组织结构动力响应的有限元公式。一是通过在连续方程中引入压力ｐ与罚参数β之比项，消去控制方程中的压力项得到的罚有限元公式；二是以位移和压力为两类变量导出的混合有限元公式。

This paper, using Galerkin weighted residual method gives out two types of finite element formulations for dynamic response of soft tissue structures, depicted by linear biphasic model, in small deformation. One is penalty finite element formulation which is obtained via introducing ratio term of pressure p and penalty parameter β in the continnum equation and, in ture, eliminating pressure in control equations,the other one is the mixed finite element formulation which is deduced with displacements and pressure as variables.