A simple plastic constitutive equation with vertex effect
A simple plastic constitutive equation with vertex effect
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具有顶点效应的简单塑性本构方程
DOI：
10.1016/0013-7944(85)90077-3
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发表时间：
1985
影响因子：
5.4
通讯作者：
Gotoh Manabu
中科院分区：
文献类型：
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作者：
Gotoh Manabu
提出了一种考虑顶点效应的简单塑性本构方程。塑性应变增量被表示为应力和应力增量的线性组合，其中引入了应力历史度量，使得定义从塑性状态到弹性状态的平滑过渡的函数变得更容易。它由两部分组成，一部分对应于经典的增量理论，另一部分表示顶点效应。从这个意义上说，它是经典理论到具有顶点效应的理论的自然推广。因此，它可以很容易地推广到任意初始各向异性和随后的各向异性起重要作用的情况，通过利用到目前为止提出的各种没有顶点效应的屈服函数。对几种典型的材料行为进行了数值分析，并与已有的实验结果进行了比较，验证了它们的合理性。
A simple plastic constitutive equation with vertex effect is proposed. Plastic strain increment is represented as a linear combination of stress and stress-increment, in which the stress-history measure is introduced to make it easier to define the function which provides smooth transition from plastic to elastic state. It consists of two parts, one of which corresponds to the classical incremental theory, and the other one expresses the vertex effect. In this sense, it is a natural extension of the classical theory to that with vertex effect. Therefore it can be easily extended to the case where arbitrary initial and subsequent anisotropy plays an important role, by taking advantage of various yield functions without vertex effect proposed so far. Several typical material behaviors are examined numerically and verified to be very reasonable in reference to the experimental evidences reported so far.