The Concept and Application of the Bounding Surface in Plasticity Theory

The Concept and Application of the Bounding Surface in Plasticity Theory
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塑性理论中边界面的概念及其应用

DOI:
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发表时间:
1981
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通讯作者:
Y. Dafalias
Y. Dafalias
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文献类型:
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作者:
Y. Dafalias

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提出了应力空间中边界面的概念,并给出了相应的速率无关本构塑性关系的新颖统一公式。边界表面方法的显着特征是,表面内的应力状态发生塑性变形的速率取决于当前应力点与边界表面上由适当映射规则定义的“图像”应力点之间的接近程度。该材料通过塑性内部变量表现出对过去加载历史的记忆,并通过实际应力点和“图像”应力点之间的距离表现出预测的“预见性”。在总体框架内给出了特定的模型和相应的应用。
The concept of the bounding surface in stress space is presented, and a novel unified formulation of the corresponding rate independent constitutive plastic relations is given. The salient feature of the bounding surface approach is that plastic deformation occurs for stress states within the surface at a rate which depends on the proximity between the current stress point and an “image” stress point on the bounding surface defined by a proper mapping rule. The material exhibits a memory of past loading history by means of plastic internal variables, and a projected “foresight” by means of the distance between actual and “image” stress points. Particular models and corresponding applications are presented within the general framework.