Elastic-plastic torsion of anisotropic prismatic bars by means of the method of fundamental solutions and the radial basis functions

Torsion of anisotropic prismatic rods with elastic-plastic behavior and considering hardening, is newly investigated with the Method of Fundamental Solution (MFS). The state of anisotropy is orthotropic with the zaxis of anisotropy parallel to the generator. The Hillyield function is taken into account and the isotropic hardening law with regard to swift model is examined. Based on the Saint-Venant displacement assumption and deformational theory in plasticity for stress-strain relation, the non-linear boundary value problem foranisotropic stress function is formulated. To solve the boundary value problem, the MFS with inverse multiquadric functions (IMF) and Radial Basis Functions (RBFs) are employed. The non-linear torsion problem in plastic region is solved by means of the Picard iteration

Keywords:

elastic-plastic torsion , anisotropic material , prismatic bars , method of fundamental solutions , radial basis functions , inverse multiquadric functions