The material point method (MPM) has been increasingly used to simulate coupled hydro-mechanical problems involving large deformations. However, when addressing saturated porous media with an almost incompressible liquid phase, the classic explicit MPM with low-order interpolation functions is not stable if no further stabilization approach is used. In this study, a solid-velocity–liquid-velocity-based hydro-mechanical governing formulation is adopted to construct a two-phase single-point explicit generalized interpolation material point (GIMP) method. To stabilize this set of formulation, the XPIC(m) (extended PIC of order m) method is extended to erase null space noise and damp high-frequency waves in both solid and liquid phases; additionally, a cell-based averaging approach is adopted to solve locking issues and smooth stress field variables. Several numerical examples have been presented to demonstrate the capabilities of the stabilized coupled GIMP method in simulating coupled hydro-mechanical problems involving dynamic effects and large deformations.

物质点方法（MPM）已越来越多地用于模拟涉及大变形的耦合流体力学问题。但是，当使用几乎不可压缩的液相处理饱和的多孔介质时，如果不使用其他稳定方法，则具有低阶插值功能的经典显式MPM将不稳定。在这项研究中，采用基于固-液-速的液压-机械控制公式来构造两相单点显式广义内插物点（GIMP）方法。为了稳定这组公式，扩展了XPIC（m）（m级扩展的PIC）方法，以消除零空间噪声和固相和液相中的高频波。另外，采用基于单元的平均方法来解决锁定问题和平滑应力场变量。