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