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Scattering matrices of Lamb waves at irregular surface and void defects.

Feilong Feng1, Jianzhong Shen, Shuyu Lin

  • 1Institute of Applied Acoustics, Shaanxi Normal University, Xi'an, China. shubao7821@163.com

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Summary

This study presents a novel method for analyzing Lamb wave scattering in waveguides with irregular thickness. The approach accurately predicts wave behavior in complex structures, aiding in defect detection.

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Area of Science:

  • Solid Mechanics
  • Acoustics
  • Wave Propagation

Background:

  • Lamb wave propagation is crucial for structural health monitoring.
  • Analyzing wave scattering in irregular waveguides is complex.
  • Existing methods may lack precision for intricate thickness variations.

Purpose of the Study:

  • To develop an accurate analytical method for time-harmonic Lamb wave scattering.
  • To investigate scattering in plane-strain waveguides with irregular thickness.
  • To provide a robust framework for analyzing wave interactions with defects.

Main Methods:

  • Stair-step discretization of the waveguide.
  • Stepwise mode matching technique.
  • Derivation of transfer and reflection matrices.
  • Formulation of an explicit scattering matrix for complex geometries.

Main Results:

  • Explicit expressions for transmission and reflection matrices derived.
  • Scattering matrix for the entire irregular region obtained by combining sub-waveguide matrices.
  • Numerical examples show good agreement with simulation models.

Conclusions:

  • The proposed method effectively analyzes Lamb wave scattering in irregular waveguides.
  • The formulation provides accurate scattering coefficients.
  • This approach enhances the understanding of wave interactions with structural irregularities.