# 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