Abstract

Localized shear band formation developing from stress free surface in a highly strained elastoplastic material under the uniaxial plane strain tension is studied taking effects of both geometrical and material factors into consideration. Analyses of bifurcation and shear band formation which appear in a rectangular region are carried out by a finite element method in regard to J2-deformation, single crystal and poly-crystalline material models. Numerical results show that existence of surface and inner mode bifurcation with short wave length seem to be important for shear band formation. From the results of the poly-crystalline material model, it is pointed out that shear band which gets through the region appers just after the maximum load state and the growth of diffused necking seems to be promoted by successive generation and development of the shear bands.

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