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Inverse calculation of material parameters for a thin-layer system using transient elastic waves.

Chien-Ching Ma1, Shaw-Wen Liu, Chen-Ming Chang

  • 1Department of Mechanical Engineering, National Taiwan University, Taipei, Repubic of China. cma@w3.me.ntu.edu.tw

The Journal of the Acoustical Society of America
|September 24, 2002
PubMed
Summary

This study uses transient elastic waves to determine material properties of thin-layer systems. A novel two-step inverse calculation accurately recovers material parameters, validating theoretical and experimental findings.

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Wave Propagation

Background:

  • Accurate determination of material parameters in thin-layer systems is crucial for various engineering applications.
  • Traditional methods often face challenges with layered materials and transient phenomena.

Purpose of the Study:

  • To investigate the inverse calculation of material parameters for thin-layer systems using transient elastic waves.
  • To develop and validate a reliable method for recovering these parameters.

Main Methods:

  • Formulated the inverse problem as an optimization problem, minimizing discrepancies between calculated and measured surface displacements using the simplex algorithm.
  • Employed Laplace transform and Cagniard's method for analytical solutions of transient responses.
  • Utilized a two-step inverse calculation procedure for enhanced accuracy.

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Main Results:

  • Successfully recovered material parameters of thin-layer system specimens.
  • Demonstrated good agreement between the recovered parameters and theoretical/experimental values.
  • Validated the effectiveness of the proposed two-step inverse calculation procedure.

Conclusions:

  • The developed method accurately determines material parameters of thin-layer systems using transient elastic waves.
  • The two-step inverse calculation procedure offers a reliable approach for material characterization.
  • This research contributes to advanced non-destructive evaluation and material analysis techniques.