A Study on Plastic Bending of an Anisotropic Plate : 2nd Report, Analyses when the Plate Material is Rigid Plastic or Rigid-Perfectly Plastic

Abstract

Rigid-plastic bending of an anisotropic plate is theoretically impossible when the theory of anisotropic plasticity based on the maximum shearing stress theory is used in which the stress points are assumed to fall on any side other than the two special sides of the yield surface. It is found, however, that this problem can be analyzed in theory by considering that the stress points are at the three particular corners of the yield surface. It is proved that the results of this analysis are identical with those obtained when Young's modulus is taken as infinity in the elastic-plastic analyses of the previous report. The plate width extends or contracts and the plate thickness decreases or increases depending upon the features of the yield surface.