A cell-less BEM formulation for axisymmetric elastoplasticity via particular integrals

This study deals with the particular integral formulation for purely axisymmetric elastoplastic analysis. The axisymmetric elastostatic equation is used for the complementary solution. The axisymmetric particular integrals for displacement and strain rates are derived by integrating three-dimensional formulation along the circumferential direction leading to elliptic integrals. The particular integrals for stress and traction rates are obtained by using the stress-strain and traction-stress relations. The Newton-Raphson algorithm for the plastic multiplier is used to solve the system equation. The numerical results for four example problems are given and compared with their analytical solutions or those by other BEM and FEM programs to demonstrate the accuracy of the present formulation. Generally, agreement among all of those results is satisfactory.