剪切波速
一种材料属性:剪切波的波速。剪切波速与其他材料属性的关系为 —
\begin{align} \label{eq:12101a} c_s &= \left[ \frac{G}{\rho} \right]^{1/2} \, \end{align}
其中 —
| \( c_s \) | = 剪切波速 | \( G \) | = 剪切模量 |
| \( \rho \) | = 密度 |
剪切波速与细杆波速的关系为 —
\begin{align} \label{eq:12102a} c_s &= c_{tw} \left[ \frac{1}{2 \, (1 + \nu)} \right]^{1/2}\\[0.7em]%eqn_interline_spacing \end{align}
其中 —
| \( c_{tw} \) | = 细杆波速 |
| \( \nu \) | = 泊松比 |
参考文献:Meyer (1),公式 1.59,第 18 页
Shear wave speed
A material property: the wave speed of a shear wave. The shear wave speed is related to other material properties by —
\begin{align} \label{eq:12101a} c_s &= \left[ \frac{G}{\rho} \right]^{1/2} \, \end{align}
where —
| \( c_s \) | = shear wave speed | \( G \) | = shear modulus |
| \( \rho \) | = density |
The shear wave speed is related to the thin-wire wave speed by —
\begin{align} \label{eq:12102a} c_s &= c_{tw} \left[ \frac{1}{2 \, (1 + \nu)} \right]^{1/2}\\[0.7em]%eqn_interline_spacing \end{align}
where —
| \( c_{tw} \) | = thin-wire wave speed |
| \( \nu \) | = Poisson's ratio |
Reference: Meyer (1), equation 1.59, p. 18
Also see —
Dilatational wave speed
Thin-plate wave speed