Endochronic Description of Plastic Anisotropy in Sheet Metal
Resource
International Journal of Solids and Structures, Vol.36, pp.2735-2756
Journal
International Journal of Solids and Structures
Journal Volume
Vol.36
Pages
2735-2756
Date Issued
1999
Date
1999
Author(s)
Han-Chin Wu
Abstract
It is shown in this paper that an extended form of Hills quadratic yield criterion for anisotropic sheet metal can be derived from an endochronic theory of plasticity. The extended form considers the combined isotropic-kinematic hardening and the anomalous behavior observed in the anisotropic plastic behavior of sheet metals can be accounted for by the concept of kinematic hardening. This form of anisotropic endochronic theory can accommodate the usual requirement of normality between the plastic strain rate and the yield function. In addition, the theory leads naturally to the expressions for back stresses. This work provides an additional example to show that the form of the intrinsic time is directly related to the form of the yield function. It is suggested that the coefficients of the quadratic yield function be determined from the yield stresses obtained from a set of tension tests.
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