A copper block is inspected with surface waves

PHYSICS · Multi-part · Fermi University Physics · Oscillations, Waves & Acoustics · Fluids & Continuum Physics · Superposition, boundaries and interference

Bending, Ringing, Breaking and Flowing, Ch Elastic waves in a solid and at its surface

Problem

A copper block is inspected with surface waves. Take its Poisson's ratio as

\nu=0.35

and its shear speed as

c_T=2.30\,\mathrm{km\,s^{-1}}

. Two transducers sit

40.0\,\mathrm{mm}

apart on a flat face; one launches a Rayleigh wave and the other records it. ((a)) Find

c_T^2/c_L^2

for this

\nu

. ((b)) Solve the Rayleigh secular equation for

\xi=c_R^2/c_T^2

to three figures, and find

c_R

. ((c)) Find the Rayleigh wave's travel time between the transducers, and how much later it arrives than a disturbance travelling at

c_T

would.

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