Constitutive Equations of Elastoplastic Materials With Anisotropic Hardening and Elastic-Plastic Transition

Constitutive Equations of Elastoplastic Materials With Anisotropic Hardening and Elastic-Plastic Transition
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各向异性硬化和弹塑性转变弹塑性材料的本构方程

DOI:
10.1115/1.3157612
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发表时间:
1981
期刊:
Journal of Applied Mechanics
影响因子:
--
通讯作者:
K. Hashiguchi
K. Hashiguchi
中科院分区:
--
文献类型:
--
作者:
K. Hashiguchi

文献摘要

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通过引入三个相似面,即,其上存在当前应力的加载表面、限制加载表面的尺寸的次屈服表面和表示完全塑性状态的明显屈服表面。这些表面的相似性的假设导致导出的方程非常简单的形式。此外,一个更普遍的规则的运动硬化的不同屈服面被纳入本构方程。虽然他们似乎是适用于各种材料,特殊的本构方程的金属,例如,来自他们,并与实验数据进行比较,铝的循环单轴加载。理论和实验之间的密切相关性,观察在这个比较。
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.