解决双滑动和旋转模型平面应变边界值问题的新方法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-27 DOI:10.1093/jom/ufae004

Sergei Alexandrov, E. Lyamina, Yeau-Rean Jeng

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引用次数: 0

摘要

本文提出了一种解决简化版双滑移和旋转模型平面应变边界值问题的方法。假设本征自旋消失。弹性应变被忽略。采用莫尔-库仑屈服准则。揭示了该模型的解法与压力无关塑性的经典刚性塑性解法之间的类比关系。该方法的基础是引入辅助变量，这些变量在两个特征族都弯曲的区域满足电报方程。因此，黎曼法可以方便地用于求解边界值问题。该方法用于分析通过楔形模具进行平面应变拉伸和挤压的过程。摩擦忽略不计。解法用常积分给出。揭示了内摩擦角对工艺参数的影响。如果内摩擦角消失，解法将还原为压力无关塑性的可用解法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A New Method of Solving Plane Strain Boundary Value Problems for the Double Slip and Rotation Model

A method of solving plane-strain boundary value problems for a reduced version of the double slip and rotation model is developed. It is assumed that the intrinsic spin vanishes. Elastic strains are neglected. The Mohr-Coulomb yield criterion is adopted. An analogy between the solutions for this model and classical rigid plastic solutions of pressure-independent plasticity is revealed. The method is based on introducing auxiliary variables that satisfy the equation of telegraphy in regions where both families of characteristics are curved. Therefore, Riemann's method can conveniently be applied to solving boundary value problems. The method is employed for analyzing the processes of plane strain drawing and extrusion through a wedge-shaped die. Friction is neglected. The solution is given in terms of ordinary integrals. The effect of the angle of internal friction on processes' parameters is revealed. The solution reduces to available solutions of pressure-independent plasticity if the angle of internal friction vanishes.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.