Shear band development in anisotropic bent specimens

The formation and growth of shear bands in a strain field that shows strong gradients is studied by analyzing a bent specimen under plane strain conditions. The plasticity model used combines a smooth yield surface for an anisotropic solid with a vertex-type plastic flow rule, a model that has been found to agree well with polycrystal plasticity calculations as well as experiments. It has been shown previously that in a nearly homogeneous strain field the shear band evolution predicted by this plasticity model gives a good approximation of the shear band evolution predicted by direct application of crystal plasticity. The present large strain finite element calculations for bent specimens show that shear bands develop on both the tensile and compressive sides of the specimen, but not near the neutral line where the strains are small.