Implementation of a micropolar hypoplastic model for granular materials with localized deformation

摘要

The paper deals with numerical implementation of a micro-polar hypoplastic model for granular materials. Finite element equations in updated Lagrangian formulation are developed based on the virtual work equations for the micro-polar continuum. A four-node element is formulated with the B-bar method for alleviating volumetric locking at nearly incompressible states. In a solution procedure, the constitutive equation is integrated using a one-step multi-stage explicit integration scheme. A numerical difference method is proposed for obtaining the tangential operator for Newton iteration scheme. Numerical examples are presented.