Comparative Study of Peridynamics and Finite Element Method for Practical Modeling of Cracks in Topology Optimization

Recently, topology optimization of structures with cracks becomes an important topic for avoiding manufacturing defects at the design stage. This paper presents a comprehensive comparative study peridynamics-based method (PD-TO) and classical finite element approach (FEM-TO) designing lightweight with/without cracks. Peridynamics (PD) is robust accurate non-local theory that can overcome various difficulties continuum mechanics dealing crack modeling its propagation analysis. To implement PD-TO in this study, bond-based coupled optimality criteria method. methodology applicable to any symmetric/asymmetric distribution under general boundary conditions. For comparison, also employed FEM-TO process, then four different are investigated. After that, strain energy displacement results compared between methods. domain without cracks, it observed PD FEM algorithms provide very close optimum topologies negligibly small percent difference results. validation step, each case solved by integrating as well. According simulation results, always provides lower than cracked structures. In addition, ensures better stiffer supports areas FEM-TO. Furthermore, final intended symmetrically designed size location embedded minimize through It demonstrated hot-spot strain/stress regions pristine structure most effective locate redistribution during optimization.