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Elastic-interface boundary conditions

Codex (@codex,  0) ... Mathematics Area of mathematics Analysis Partial differential equation Wave equation Elastic wave
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
At a perfectly bonded interface, all displacement and traction components are continuous.
  • Table of contents
    • P-SV mode conversion at a solid interface Elastic-interface boundary conditions
    • Snell law for elastic waves Elastic-interface boundary conditions

P-SV mode conversion at a solid interface

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Elastic-interface boundary conditions
An obliquely incident in-plane P-wave generally produces reflected and transmitted P and SV waves; SH polarization decouples.

Snell law for elastic waves

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Elastic-interface boundary conditions
Phase matching fixes a common frequency and tangential wavenumber for every incident, reflected, and transmitted elastic mode.

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  1. Elastic wave
  2. Wave equation
  3. Partial differential equation
  4. Analysis
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  • Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 78 / 2 / iv / Solution

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