V2EX principal stress

Principal Stress

Definition|释义

主应力:在某一点的应力状态中,沿某些特定方向(主平面)作用的法向应力,这些方向上剪应力为零;主应力通常指最大、最小(以及三维情况下的中间)法向应力,常记为 σ、σ(、σ)。该术语主要用于材料力学、弹性力学与结构分析。(在口语或其他领域里,stress 也可指“压力/重音”,但 principal stress 通常是工程力学含义。)

Pronunciation|发音(IPA)

/prnspl strs/

Examples|例句

The principal stress is highest near the hole.
主应力在孔附近最大。

Using Mohr’s circle, we can determine the principal stresses and the angle of the principal planes from the measured normal and shear stresses.
利用莫尔圆,我们可以根据测得的法向应力与剪应力求出主应力以及主平面的方向角。

Etymology|词源

principal 源自拉丁语 prīncipālis,意为“首要的、主要的”;stress 在工程语境中指“内力导致的应力”,其现代用法与物理/材料学的发展密切相关。合起来 principal stress 字面即“主要的应力”,强调在某些方向上剪应力为零、法向应力达到极值的那组应力分量。

Related Words|相关词

Literary Works|文学与经典著作中的用例

  • S. Timoshenko & J. N. Goodier,《Theory of Elasticity(弹性理论)》:在应力变换与主应力推导章节中系统使用该术语。
  • **F. P. Beer et al.**,《Mechanics of Materials(材料力学)》:在平面应力、莫尔圆与强度判据部分频繁出现。
  • A. E. H. Love,《A Treatise on the Mathematical Theory of Elasticity(弹性力学数学理论论著)》:在弹性体应力分析中使用“principal stresses”等表述。
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