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Elastic wave in an isotropic solid

For density

ρ

and Lamé parameters

λ, μ

, the displacement satisfies

ρ u_{tt} = (λ + μ) \nabla (\nabla \cdot u) + μ \nabla^{2} u .

Its longitudinal and transverse wave speeds are

c_{P} = \frac{λ + 2 μ}{ρ}, c_{S} = \frac{μ}{ρ} .

Table of contents 146 4
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  - Snell law for elastic and acoustic waves Mode conversion at a planar elastic interface 24
- Acoustic impedance Elastic wave in an isotropic solid 63 1
  - Displacement reflection from an interface between two inviscid elastic liquids Acoustic impedance 30

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