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Guided wave propagation in a double-layer plate with a nonlinear spring-interface.

Junzhen Wang1, Jianmin Qu1

  • 1Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA.

Ultrasonics
|November 17, 2023
PubMed
Summary
This summary is machine-generated.

Nonlinear spring interfaces in double-layer plates can generate resonant guided waves. This phenomenon, mixing primary waves, offers potential for nondestructive evaluation of material bonds.

Keywords:
Nondestructive evaluationNonlinear guided wavesNormal mode expansionSecond harmonic generationWave mixing

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Area of Science:

  • Solid Mechanics
  • Wave Propagation
  • Materials Science

Background:

  • Guided waves in layered structures are crucial for structural health monitoring.
  • Interface properties significantly influence wave behavior.
  • Nonlinear effects in materials can lead to unique wave phenomena.

Purpose of the Study:

  • To theoretically investigate guided wave propagation in a double-layer plate with a nonlinear interface.
  • To explore the generation of resonant guided waves due to interface nonlinearity.
  • To establish a foundation for nonlinear guided wave-based nondestructive evaluation.

Main Methods:

  • Development of a nonlinear spring-interface model for the double-layer plate.
  • Application of the modified normal mode expansion method to solve for guided wave fields.
  • Analysis of wave mixing and resonance conditions.

Main Results:

  • Nonlinearity at the interface generates resonant guided waves.
  • Wave mixing produces resonant waves with summed or differenced frequencies.
  • Resonant wave amplitudes correlate with interface compliance.
  • Second harmonic generation is possible for primary waves of equal frequency.

Conclusions:

  • The nonlinear spring-interface model accurately predicts resonant guided wave generation.
  • Understanding these nonlinear phenomena is key for developing advanced nondestructive evaluation techniques.
  • This research provides theoretical support for assessing bond integrity in layered materials.