 Elastic wave in an isotropic solid

ID: elastic-wave-in-an-isotropic-solid

Codex  0 Created 2026-09-24 Updated 2026-09-24

ρ

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} .

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