人胫骨端松质骨撞击动力响应数值分析

来源 :重庆大学学报(自然科学版) | 被引量 : 0次 | 上传用户:skycliff520
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基于对松质骨结构特征的观察,应用建立在连续介质力学框架内的混合物理论基础上的两相多孔介质模型来描述人体胫骨端松质骨在撞击载荷作用下,固体骨质的应力场、变形场与孔间骨髓压力分布随时间变化的规律,研究流固之间的耦合关系.考虑固体骨质为各向同性线弹性介质,流体为理想流体,结合相应的初、边值条件,建立了描述松质骨撞击动力问题的一组完整的控制方程.然后,采用Galerkin加权残值法,通过在连续方程中引入压力ρ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,使得松质骨呈现着一种强烈的表观粘弹性行为以及能量耗散性质.
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