Abstract

AbstractThe main objective of this paper is to develop a criterion of tensile plastic instability which should be sufficiently general to include both the Bauschinger effect and anisotropy. The criterion so developed reduces to Moore and Wallace's condition for anisotropic materials, in case the Bauschinger effect is either completely neglected or it is negligible at the onset of deformation process. However, this analysis shows significant change in instability condition if the material exhibits the Bauschinger effect initially.It is also shown that localised neck can also take place in biaxial loading for stress ratios greater than half. This would depend upon the anisotropy coefficients and the degree of the Bauschinger effect initially exhibited by the material.

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