Abstract
In this paper, an implicit elasto-plastic finite element analysis at finite strains based on a multiplicative decomposition of the deformation gradient is applied to solid/fluid coupling problem. A homogeneous compression tests for a hardening materials under plane strain condition show that the numerical results exhibit a quadratic rate of convergence and are insensitive to the mesh refinement and to the discrete time step. An inhomogeneous example under the compressive displacement exhibits a linear rate of convergence because of using an interpolation approximation of the pore pressure, however, the number of iteration is constant after some time steps. These solutions have a high accuracy in the sense that the equation of motion and continuity condition in the weak sense are satisfied at each model points within a given tolerance and the constitutive equations are satisfied with a high accuracy by the return mapping algorithm.
