New research on the stress field of elastic–plastic small deformation problems

A new method of the theory of plasticity established on the basis of interrelation of elastic strain and plastic strain has advantages such as simplicity and convenience in solution process. In this paper, the solution of the stress field of the elastic–plastic small deformation problems under two kinds of boundary conditions was discussed. The results show that the accurate solution of stress field for these problems can be obtained by the use of the new method, whereas the methods commonly used at present are questionable in the solution results. The discussion was performed concerning the problems existing in the solution by the currently used methods.