Development of a continuum-consistent discrete element model for solids using the triangle finite element

Abstract

This paper addresses the development of the lattice-type discrete element (DE) model for planar classical continuum by combining it with the finite element technique. The proposed continuum-consistent approach assumes that deformation behaviour of solid can be described by translational degrees of freedom and may be characterised as an alternative lattice model with central and angular interaction. The developed DE model can represent arbitrary geometry of the triangle lattice and is independent of the values of Poison's ratio. It was implemented into the original DEM code DEMMAT and validated by simulating the dynamic behaviour of the plane stress problem against the 'exact' FE results. Brittle cracking with randomly distributed tensile strength properties of the material is considered as an application case.