抄録
This paper briefly explains a recently developed numerical technique called PDS-FEM and its dynamic extension. PDS-FEM is a simple and efficient numerical technique for modeling propagation crack in brittle materials. The discretization scheme used in this new numerical technique is called particle discretization scheme (PDS). PDS uses characteristic functions of Voronoi and Delaunay tessellations to discretize function and its derivatives, respectively. The uses of non-overlapping shape functions facilitate simple and numerically efficient failure treatment. We considered the dynamic extension of PDS-FEM and simulated several real life experiments, to illustrate the potential of simulating dynamic crack propagation of problems requiring fine domain discretizations.
