Abstract
A criterion for a tensile plastic instability is derived using a work principle and a suitably defined generalized yield stress and generalized plastic strain. The criterion is applied to the simple tensile test and to the bursting of a thin spherical shell under internal pressure. It is found that the effective ductility is modified by the presence of plastic anisotropy. However, for the particular cases considered it is found that the total elongation at instability is the same as for the isotropic material.
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