An improved inner point stress integral equation and its application in 2-D elastoplastic problems

In this paper, an improved inner point stress integral formulation for 2-D or 3-D elastoplastic problems is given by Stokes' theorem. In this formulation, Cauchy principal integrals appearing in the usual inner point stress integral formulation are converted into weakly singular integrals and a line integral over the potential plastic area as well as a corresponding free term. Numerical examples for the 2-D elastoplastic problem show that the given inner point stress integral formulation is correct.