A backward extrusion analysis by the rigid–plastic integralless–meshless method

The rigid–plastic integralless–meshless method is applied to the analysis of plane strain backward extrusion. The rigid–plastic integralless–meshless method, based on the moving least squares approximation and the partial differential equations of mechanical equilibrium, is a truly meshless method. In addition, since there is no any integration in the formulation of the rigid–plastic integralless–meshless method, this method is also an integralless method. Compared with the conventional rigid–plastic FEMs, the rigid–plastic integralless–meshless method has some advantages that are briefly no mesh generation, no remeshing and no integration. Compared with BEMs and FBEMs, the rigid–plastic integralless–meshless method is found to have some merits such as sparse matrix, no singularity, no integration and no fundamental solution. Contours of the equivalent strain rate, the equivalent strain, the equivalent stress and the shear stress, etc. of the backward extrusion analysis using the rigid–plastic integralless–meshless method are obtained successfully.