Lamb waves

Lamb waves propagate in solid plates or spheres.[1] They are elastic waves whose particle motion lies in the plane that contains the direction of wave propagation and the direction perpendicular to the plate. In 1917, the English mathematician Horace Lamb published his classic analysis and description of acoustic waves of this type. Their properties turned out to be quite complex. An infinite medium supports just two wave modes traveling at unique velocities; but plates support two infinite sets of Lamb wave modes, whose velocities depend on the relationship between wavelength and plate thickness.

Since the 1990s, the understanding and utilization of Lamb waves have advanced greatly, thanks to the rapid increase in the availability of computing power. Lamb's theoretical formulations have found substantial practical application, especially in the field of non-destructive testing.

The term Rayleigh–Lamb waves embraces the Rayleigh wave, a type of wave that propagates along a single surface. Both Rayleigh and Lamb waves are constrained by the elastic properties of the surface(s) that guide them.

Figure 1: Upper and lower, respectively:
Extensional (S0) mode with .
Flexural (A0) mode with .
(This is a simplified graphic. It is based on the z component of motion only, so it does not render the distortion of the plate precisely.)
  1. ^ Lamb, Horace (1881). "On the Vibrations of an Elastic Sphere". Proceedings of the London Mathematical Society. s1-13 (1): 189–212. doi:10.1112/plms/s1-13.1.189. ISSN 1460-244X.

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