A regularized Lagrangian meshfree method for rainfall infiltration triggered slope failure analysis

A two-level Lagrangian strain smoothing regularized meshfree formulation based on the stabilized conforming nodal integration is developed for analyzing the rainfall infiltration triggered large deformation slope failure. The regularization is fulfilled by developing two-level smoothed nodal gradients of the meshfree shape function in the Lagrangian meshfree discretization of the weak form of the coupled soil-rainfall infiltration equations. The two-level smoothed nodal gradients of the meshfree shape function are successively constructed based on the one-level smoothed meshfree nodal gradients which are obtained through a Lagrangian gradient smoothing operation on the deformation gradient and the rate of deformation tensor. The slope failure initiation and evolution is realized by a coupled isotropic damage and pressure-dependent plasticity model. Numerical results demonstrate that the present method is very effective for modeling large deformation slope failure process induced by rainfall infiltration.