基于物质点方法饱和多孔介质动力学模拟(Ⅰ)--耦合物质点方法

Material point method for dynamic analysis of saturated porous media (Ⅰ):coupling material point method

提出用于饱和多孔介质动力学响应分析的耦合物质点方法(Coupling material point method)。采用u–p形式控制方程对饱和多孔介质进行数值模拟,建立了耦合物质点方法的弱形式离散求解方程,阐述了耦合物质点方法压强场边界条件的处理方式,通过引入边界压强层近似描述指定压强边界,并给出了算法的实施过程。通过数值算例,验证了所提出的耦合物质点方法用于饱和介质动力学分析的正确与有效性。

Using the u -p form governing equations of saturated porous media,the coupling material point method （MPM）,which can be considered as the extension of the original MPM on the coupling problems,is proposed for the dynamic analysis of saturated porous media. The treatments of the coupling MPM on the boundary conditions are described,especially in the pore pressure field. The prescribed pressure boundary is imposed approximately with the use of the pressure boundary layer. The validity of the developed method is demonstrated in the comparison of the results between the coupling MPM and the FEM. It can be found that the interaction between solid skeleton and pore fluid in saturated porous media is successfully simulated.