scholarly journals Discussion: “Constitutive Equations of Elastoplastic Materials With Elastic-Plastic Transition” (Hashiguchi, K., 1980, ASME J. Appl. Mech., 47, pp. 266–272)

1981 ◽  
Vol 48 (1) ◽  
pp. 211-212 ◽  
Author(s):  
Y. F. Dafalias
1981 ◽  
Vol 48 (2) ◽  
pp. 297-301 ◽  
Author(s):  
K. Hashiguchi

Constitutive equations of elastoplastic materials with anisotropic hardening and elastic-plastic transition are presented by introducing three similar surfaces, i.e., a loading surface on which a current stress exists, a subyield surface limiting a size of the loading surface and a distinct-yield surface representing a fully plastic state. The assumption of similarity of these surfaces leads the derived equations to remarkably simple forms. Also a more general rule of the kinematic hardening for the distinct-yield surface is incorporated into the constitutive equations. While they seem to be applicable to various materials, special constitutive equations of metals, for example, are derived from them and are compared with experimental data on a cyclic uniaxial loading of aluminum. A close correlation between theory and experiment is observed in this comparison.


1980 ◽  
Vol 47 (2) ◽  
pp. 266-272 ◽  
Author(s):  
K. Hashiguchi

Constitutive equations of elastoplastic materials with an elastic-plastic transition observed in the loading state after a first yield are presented by introducing a new parameter denoting the ratio of the size of a loading surface in the transitional state to that of a yield surface in the classical idealization which ignores the transitional state. These equations involve a reasonably simplified rule for the kinematic hardening. They would describe reasonably not only the hardening behavior but especially the softening behavior which requires our careful consideration about the elastic-plastic transition. From these equations, moreover, we derive plastic constitutive equations specifically of metals and granular media which exhibit very different plastic behaviors. Besides, brief discussions are provided concerning the existing constitutive equations describing the elastic-plastic transition.


2007 ◽  
Vol 2007.56 (0) ◽  
pp. 103-104
Author(s):  
Kunio HAYAKAWA ◽  
Tamotsu NAKAMURA ◽  
Shigekazu TANAKA

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