饱和多孔介质动力学大变形分析耦合对流粒子域插值方法

Coupling convected particle domain interpolation method for dynamic analysis of saturated porous media involving large deformation

提出了饱和多孔介质大变形动力学响应分析的耦合对流粒子域插值方法(Coupling convectedparticle domain interpolation method,CCPDI)。采用u-p形式的控制方程和超弹性材料本构关系对具有饱和多孔特性的介质进行了大变形动力学模拟,建立了耦合对流粒子域插值方法的弱形式离散求解方程并给出了该方法的计算流程。通过数值算例,验证了所提出的耦合对流粒子域插值方法的正确性。本文工作为生物软组织、肌肉、骨骼和其它一些具有饱和多孔特性的软物质的几何非线性动力学行为分析奠定了基础。

The coupling convected particle domain interpolation method(CCPDI) is proposed for the dynamic analysis of saturated porous media involving large deformation.The u-p form governing equations are adopted for the saturated porous media and a hyperelastic constitutive model is applied to the solid skeleton.The discretization equations are derived in the framework of the generalized interpolation material point method(GIMP).The numerical artifact noises due to material points crossing computational grid boundaries are eliminated by using the convected particle domain interpolation(CPDI) technique.Computational results of several representative examples demonstrate the accuracy and efficiency of the proposed method.These applications indicate that the method can be easily extended to simulate the nonlinear coupling dynamic behaviors of the solid skeleton and fluid phase in soft tissue,bone and other saturated porous soft matter.