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首页> 外文期刊>Acta Mechanica >Effect of constitutive laws on plane strain ideal flow design: an analytical example
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Effect of constitutive laws on plane strain ideal flow design: an analytical example

机译：本构规律对平面应变理想流设计的影响：一个分析实例

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The major objective of this paper is to clarify the effect of constitutive laws on bulk forming design based on the ideal flow theory. The latter theory is in general applicable for perfectly/plastic materials. However, its kinematics equations constitute a closed-form system, which are valid for any incompressible materials, therefore enabling us to extend design solutions based on the perfectly/plastic constitutive law to more realistic laws with rate sensitive hardening behavior. In the present paper, several constitutive laws commonly accepted for the modeling of cold and hot metal forming processes are considered and the effect of these laws on one particular plane strain design is demonstrated. The closed form solution obtained describes a nontrivial nonsteady ideal process. The design solutions based on the ideal flow theory are not unique. To achieve the uniqueness, the criterion that the plastic work required to deform the initial shape of a given class of shapes into a prescribed final shape attains its minimum is adopted. Comparison with a non-ideal process is also made.
机译：本文的主要目的是根据理想流动理论阐明本构定律对整体成形设计的影响。后一种理论通常适用于完美/塑性材料。但是，它的运动学方程式构成了一个封闭形式的系统，该系统对任何不可压缩的材料均有效，因此使我们能够将基于完全塑性塑性定律的设计解决方案扩展到具有速率敏感性硬化行为的更现实的定律。在本文中，考虑了冷，热金属成形过程建模常用的几种本构定律，并证明了这些定律对一种特定平面应变设计的影响。获得的封闭形式解决方案描述了一个非平凡的非稳态理想过程。基于理想流理论的设计解决方案并不是唯一的。为了获得唯一性，采用将给定形状的初始形状变形为规定的最终形状所需的塑性加工达到其最小值的标准。还与非理想过程进行了比较。

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