Elastic-Plastic Finite Element Analysis Using Superposition

This paper concerns the method of calculation and solution using the superposition technique of analytic and finite element solutions, which is applied to elastic-plastic plane problems. The incremental form of the principle of virtual work is employed to derive the equations, from which the nodal displacements of the finite elements together with the generalized displacements of the analytic solution are calculated simultaneously. Several example problems are solved for elastic-plastic material with the use of the von Mises yield criteria and the associated flow rule. It is concluded that the present method is so effective as to give enough accuracy in strain concentration problems with small numbers of elements.