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

► The elastic-plastic torsion of prismatic bars by method of fundamental solutions and radial basic functions was studied in this paper. ► Saint-Venant assumption and deformation theory of plasticity for stress-strain relation the non-linear problem for stress function is formulated. ► Two cases of elastic-plastic torsion of prismatic bars with circular and square sections were considered. ► Suggested algorithm is based on solution of the linear Poisson equation on each iteration step.