V2EX tresca criterion

Tresca Criterion

Definition / 释义

Tresca criterion(特雷斯卡屈服准则):一种材料屈服判据,认为当材料内部的最大剪应力达到某一临界值(与单轴拉伸屈服应力相关)时,材料开始发生屈服/塑性变形。常用于延性金属的强度与塑性分析,也常被称为最大剪应力准则。(在工程中还常与 von Mises 准则并列比较。)

Pronunciation / 发音(IPA)

/trsk kratrin/

Examples / 例句

The Tresca criterion predicts yielding when the maximum shear stress reaches a critical value.
特雷斯卡准则认为,当最大剪应力达到临界值时材料会发生屈服。

In finite element analysis of ductile metals, engineers may choose the Tresca criterion to estimate the onset of plastic deformation under combined loading.
在延性金属的有限元分析中,工程师可能会选用特雷斯卡准则来估计在组合载荷作用下塑性变形开始出现的时刻。

Etymology / 词源

Tresca 来自法国工程师 Henri Tresca(亨利特雷斯卡)的姓氏,他在材料塑性与金属变形研究中提出了相关观点;criterion 源自希腊语 kriterion(“判断标准/准则”)。合起来表示“特雷斯卡提出的判断(屈服)准则”。

Related Words / 相关词

Notable Works / 文献与著作中的用例

  • Theory of Plasticity(R. Hill)讨论各类屈服准则(含 Tresca)及其在塑性理论中的地位
  • Mechanical Metallurgy(George E. Dieter)在金属塑性与屈服章节中对 Tresca 与 von Mises 作对比
  • Roark’s Formulas for Stress and Strain(Roark)工程应力分析中常提及屈服准则的选用
  • Introduction to Solid Mechanics(Irving H. Shames 等同类教材)材料屈服判据与主应力/剪应力关系的经典讲解中常出现
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