Application of method of fundamental solutions for elasto-plastic torsion of prismatic rods

In this paper torsion of prismatic bars considering elastic–plastic material behavior is studied. Based on the Saint-Venant displacement assumption and deformation theory of plasticity for stress–strain relation the boundary value non-linear problem for stress function is formulated. The purpose of our paper is application of method fundamental solution (MFS) and radial basic function (RBF) for solution of this problem. The non-linear torsion problem in plastic region is solved by means of the Picard iteration. Proposed algorithm is based on solution of the linear Poisson equation on each iteration steps.