A SEARCH METHOD OF CRITICAL SLIP LINE WITH QUADRATIC ISOPARAMETRIC ELEMENTS USING PARTICLE SWARM OPTIMIZATION

Abstract

This study proposes a critical slip line search method using particle swarm optimization where the slip lines are discretized by quadratic isoparametric elements. In this method, it is possible to describe complex non-circular slip lines with fewer degrees of freedom because each part of a slip line divided by the elements is interpolated by the quadratic shape functions of the internal coordinate. It is shown that the method enables searching the critical slip line more efficiently compared with the ordinary method with slip lines in the shape of polylines.