Investigation of the single-spring lattice model in simulation of 2D solid problems by DEM

Abstract

Simulation of the elastodynamic behaviour of two-dimensional solid is considered by the Discrete Ele-ment Method (DEM). The discrete approach is imple-mented in the form of the hexagonal lattice. The single-spring model yielding Poisson’s ratio dependent stiffness was derived by the virtual displacement method. Suitabil-ity of the suggested model was verified by comparing it with the FEM results. The application of the model to brit-tle fracture is demonstrated. Cracking of the plate under compression with randomly distributed tensile strength properties of the material is considered as a case study. The dynamic fracture behaviour is illustrated by time variation of forces and the cracking pattern of the element network. The results obtained are compared with the behaviour of a homogeneous plate.