PLANE DEFORMATION ANALYSIS OF DILATANT MATERIAL WITH THE STRAIN-HARDENING ELASTOPLASTIC MODEL ADDED NON-COAXIAL COMPONENTS

Abstract

In this paper, firstly Budiansly's model which is well-known as the yield vertex model in metal materials is discussed in detail and it is clarified how non-coaxial components effect on the shear band initiation and the bifuration point of stress-strain relationships. Secondly the elastoplastic model of dilatant materials in plane deformation is introduced by adding non-coaxial components to Mohr-Coulomb's flow model. In addition the special element whose nominal stiffnesses are soften is proposed in order to analyze the shear band of dilatant materials. FEM analyses concemed with biaxial tests are performed As the result the above model and the special element are able to express the relations among patterns of shear band, material constants and the localization of deformation