Explicit expressions for the plastic normality-flow rule associated to the Tresca yield criterion

He QC; Vallee C; Lerintiu C

首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Explicit expressions for the plastic normality-flow rule associated to the Tresca yield criterion

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Explicit expressions for the plastic normality-flow rule associated to the Tresca yield criterion

机译：与Tresca屈服准则相关的塑性正态流动法则的显式表达式

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The Tresca yield criterion is classical and important to the theory of plasticity. It is usually formulated in terms of the difference between the maximum and minimum principal stresses. Difficulties have been encountered in attempts to explicitly express the plastic normality-flow rule associated to it, because the difference between the maximum and minimum principal stresses is generally not differentiable but subdifferentiable with respect to the stress tensor. In this work, the corresponding subdifferential is determined and specified for all possible cases; the explicit mathematical expressions are obtained for the plastic normality-flow rule relative to the Tresca yield criterion.

机译：Tresca屈服准则是经典的，对可塑性理论很重要。通常根据最大和最小主应力之差来表示。试图明确表达与其相关的塑性常态流规则时遇到了困难，因为最大主应力和最小主应力之间的差异通常不可区分，但相对于应力张量而言可微分。在这项工作中，为所有可能的情况确定并指定了相应的次微分。相对于Tresca屈服准则，获得了塑性常态-流动规则的明确数学表达式。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2005年第2期|共10页
作者
He QC; Vallee C; Lerintiu C;
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正文语种 eng
中图分类应用数学;
关键词
plasticity; Tresca yield criterion; plastic strain rate; normality-flow rule; convex analysis; subdifferential;

机译：塑性;Tresca屈服准则;塑性应变率;正态流法则;凸分析;亚微分;

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1. Explicit expressions for the plastic normality-flow rule associated to the Tresca yield criterion [J] . He QC, Vallee C, Lerintiu C ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2005,第2期

机译：与Tresca屈服准则相关的塑性正态流动法则的显式表达式
2. New mathematical results and explicit expressions in terms of the stress components of Barlat et al. (1991) orthotropic yield criterion [J] . Cazacu Oana International Journal of Solids and Structures . 2019,第期

机译：Barlat等人的应力分量的新数学结果和明确表达。（1991）正交屈服标准
3. Explicit dynamic analysis of elasto-plastic laminated composite shells: implementation of non-iterative stress update schemes for the HOFFMAN yield criterion [J] . C. G. Koh, D. R. J. Owen, D. Peric Computational Mechanics . 1995,第5期

机译：弹塑性叠层复合材料壳的显式动力分析：HOFFMAN屈服准则的非迭代应力更新方案的实现
4. Handling Multi-word Expressions Without Explicit Linguistic Rules in an MT System [C] . Akshar Bharati, Rajeev Sangal, Dipti Mishra, International Conference on Text,Speech and Dialogue(TSD 2004); 20040908-11; Brno(CZ) . 2004

机译：在MT系统中处理没有明确语言规则的多词表达
5. Static analysis of ECA rules and use of these rules for incremental computation of general aggregate expressions. [D] . Kim, Seung-Kyum. 1996

机译：对ECA规则进行静态分析，并将这些规则用于一般聚合表达式的增量计算。
6. Superoxide dismutase (SOD) as a selection criterion for triticale grain yield under drought stress: a comprehensive study on genomics and expression profiling bioinformatics heritability and phenotypic variability [O] . Armin Saed-Moucheshi, Fatemeh Sohrabi, Elham Fasihfar, 2021

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7. New mathematical results and explicit expressions in terms of the stress components of Barlat et al. (1991) orthotropic yield criterion [O] . Oana Cazacu 2019

机译：Barlat等人的应力分量的新数学结果和明确表达。（1991）正交屈服标准
8. Review of the LAFM Code and the Tresca Yield Criterion [R] . Atcheson, D. B. 1977

机译：审查LaFm规则和Tresca屈服准则

Explicit expressions for the plastic normality-flow rule associated to the Tresca yield criterion

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