Stabilized generalized interpolation material point method for coupled hydro-mechanical problems

摘要: 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 low-order interpolation functions is not stable if no further stabilization approach used. In this study, a solid-velocity–liquid-velocity-based governing formulation adopted construct two-phase single-point generalized (GIMP) method. To stabilize set of formulation, XPIC(m) (extended PIC order m) extended erase null space noise and damp high-frequency waves in both solid phases; additionally, cell-based averaging solve locking issues smooth stress field variables. Several numerical examples have presented demonstrate capabilities stabilized GIMP simulating dynamic effects