Abstract
Two-dimensional nonlinear analysis method based on the effective stress is newly developed in order to predict a deformation of ground and structure during earthquakes. The governing equations derived from a two-phase mixture theory are firstly obtained and the finite element method is used for the spacial discretization of the equilibrium equations. Secondly, an elasto-plastic constitutive relations are introduced to describe the inelastic deformation behavior of granular materials under multi-directional cyclic loading conditions. Finally, the verifications of the proposed analysis method are performed through the several numerical simulations of model tests.