Implicit dynamic three-dimensional finite element analysis of an inelastic biphasic mixture at finite strain: Part 1: Application to a simple geomaterial

摘要: Abstract Based on the mixture theory formulation for a fluid-saturated, inelastic, pressure-sensitive porous solid subjected to dynamic large strain deformation, 3D finite element implementation with implicit time integration is presented. A recently published 2D [Li et al. 2004, CMAME, v193, p3837–70] extended 3D, porosity-dependent permeability, and inelastic skeleton response at strain. The Clausius-Duhem inequality provides form of constitutive equations fluid phases, as well dissipation function. non-associative Drucker-Prager cap-plasticity model formulated based multiplicative decomposition deformation gradient, numerically integrated semi-implicitly in intermediate configuration avoid questions incremental objectivity. elastic verified available 1D analytical benchmark problems. New numerical solutions behavior saturated media are computational efficiency implemented achieving quadratic convergence illustrated.