Abstract

Abstract In this study, the body force method was extended to the analysis of elastic-plastic problems. It is shown that the stress fields caused by the plastic strains can be replaced by the stress fields due to force doublets. By using this fact a method for analyzing the elastic-plastic problems based on the principle of superposition is proposed. According to the method, the solution of an arbitrary problem is obtained by superposing the stress fields of the point forces and force doublets so as to satisfy a given boundary condition and the constitutive equation. The method of analysis was illustrated by taking as an example the elastic-plastic problem of an infinite plate with a circular hole subjected to internal pressure.

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