A coupling convected particle domain interpolation based implicit material point method (ICCPDI) is developed in this paper for the long-time consolidation and dynamic problems of fully saturated porous media involving massive deformation. In the method, the implicit formulas based on the u-p form governing equations are derived to overcome the time step size limitation within the conventional explicit method and in turn improve the computational efficiency particularly for consolidation problems. Then, the CPDI technique is adopted to eliminate the numerical noises occurring while material points crossing cell boundaries in the massive deformation of solid skeleton. Moreover, an extended material point penalty method is proposed to effectively treat the boundary constraints in the coupled system by avoiding introducing an auxiliary boundary layer. Numerical simulation results of several representative examples demonstrate the accuracy and efficiency of the proposed ICCPDI method to predict the consolidation and dynamic responses of saturated porous media with massive deformation.

中文翻译：

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含对流粒子域插值的隐式质点法用于大变形饱和多孔介质的固结和动态分析

针对涉及大变形的全饱和多孔介质的长时间固结和动力问题，提出了一种基于耦合对流粒子域插值的隐式材料点法（ICCPDI）。在该方法中，基于上式控制方程的隐式公式被导出，以克服传统显式方法中时间步长大小的限制，从而提高计算效率，特别是对于固结问题。然后，采用CPDI技术来消除实体骨架大变形中材料点跨越单元边界时出现的数值噪声。此外，提出了一种扩展材料点惩罚方法，通过避免引入辅助边界层来有效处理耦合系统中的边界约束。