摘要
本文基于对松质骨结构特征的观察，考虑固体骨质为横观各向同性多孔材料，引入了描述松质骨的流固两相多孔弹性模型。采用Ｇａｌｅｒｋｉｎ加权残值法，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，导出了松质骨在撞击载荷作用下的动力响应的罚有限元公式。用编制的有限元程序计算了松质骨平面问题的撞击动力响应。结果表明，由于松质骨中液体组分的扩散和流动，引起固体骨质和液态骨髓间的相互作用，使得松质骨呈现出一种强烈的表观粘弹性行为以及能量耗散性质。
s: Cancellous bone is modelled as a transversely isotropic, liquid saturated porous solid based on experimental observation. The finite element formulation for dynamic response of cancellous bone is set up on the basis of Galerkin weighted residual method. Introducing the ratio of pressure p to penalty parameter in the continuity equation, a penalty finite element formulation is established which can eliminate the pressure term in governing equations. Thus, the coupling effect between the solid phase and the fluid phase in cancellous bone is studied when the tissue is subjected to impact loading. Computational results show that the reciprocity between the solid osseous and the marrow in the cavity results from the coupling effects between the solid and the fluid. It is found that the cancellous bone is characterized by its viscoelasticity and energy dissipation.
出处
《工程力学》
EI
CSCD
北大核心
2001年第5期133-139,94,共8页
Engineering Mechanics
基金
重庆市科委院士基金资助项目(9893)
