剪切模量(刚性模量)
一种材料属性:在弹性极限以下,剪切应力与剪切应变之比。(也称为刚性模量。)
像铝这样的各向同性材料只有一个弹性模量。像钛这样的正交各向异性材料有三个主剪切模量。
剪切模量随温度升高而降低。
如果已知其他材料属性,且材料为各向同性,则剪切模量可按下式计算 —
\begin{align} \label{eq:12201a} G &= \frac{E}{2 \, (1 + \nu)} \\[0.7em]%eqn_interline_spacing &= \frac{\rho \, {c_{tw}}^2}{2 \, (1 + \nu)} \nonumber \end{align}
其中 —
| \( G \) | = 剪切模量 |
| \( E \) | = 弹性模量(杨氏模量) |
| \( \nu \) | = 泊松比 |
| \( \rho \) | = 密度 |
| \( c_{tw} \) | = 细杆波速 |
另见剪切波。
Shear modulus (modulus of rigidity)
A material property: the ratio of shear stress to shear strain below the elastic limit. (Also called the modulus of rigidity.)
An isotropic material like aluminum has only one modulus of elasticity. An orthotropic material like titanium has three principal shear moduli.
The shear modulus decreases with temperature.
If other material properties are known and if the material is isotropic, then the shear modulus can be calculated from —
\begin{align} \label{eq:12201a} G &= \frac{E}{2 \, (1 + \nu)} \\[0.7em]%eqn_interline_spacing &= \frac{\rho \, {c_{tw}}^2}{2 \, (1 + \nu)} \nonumber \end{align}
where —
| \( G \) | = shear modulus |
| \( E \) | = modulus of elasticity (Young's modulus) |
| \( \nu \) | = Poisson's ratio |
| \( \rho \) | = density |
| \( c_{tw} \) | = thin-wire wave speed |
Also see shear wave.