Implicit Material Point Method with Convected Particle Domain Interpolation for Consolidation and Dynamic Analysis of Saturated Porous Media with Massive Deformation

Abstract

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.