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Lamb mode conversion at edges. A hybrid boundary element-finite-element solution.

José M Galán1, Ramón Abascal

  • 1Escuela Superior de Ingenieros, Camino de los Descubrimientos s/n, E-41092, Sevilla, Spain. mfernan@us.es

The Journal of the Acoustical Society of America
|May 19, 2005
PubMed
Summary

This study applies advanced numerical methods to analyze Lamb wave propagation and mode conversion in metallic plates. The findings are crucial for understanding wave behavior in degraded materials and at structural edges.

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Computational Engineering

Background:

  • Lamb waves are critical for non-destructive testing of layered materials.
  • Accurate modeling of wave propagation and mode conversion is essential for defect detection.
  • Existing numerical methods have limitations in handling complex geometries and mesh requirements.

Purpose of the Study:

  • To apply and validate finite-element and boundary-element methods for Lamb wave analysis in multilayered plates.
  • To investigate Lamb mode conversion at free edges beyond the first cutoff frequency.
  • To assess the performance of these methods in practical applications like degraded titanium bonds and steel plate edges.

Main Methods:

  • Utilized finite-element (FE) and boundary-element (BE) methods for Lamb wave propagation and reflection studies.

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  • Developed a hybrid boundary element-finite-element (BE-FE) formulation for complex defect geometries.
  • Incorporated a meshing criterion to ensure result accuracy.

    • Main Results:

    • Demonstrated the effectiveness of FE formulation for Lamb wave propagation and reflection by simple obstacles.
    • Showcased the hybrid BE-FE method's advantage in reducing mesh size requirements for complex diffraction problems.
    • Validated the numerical results against experimental and theoretical data for titanium diffusion bonds and steel plates.

    Conclusions:

    • The developed numerical techniques provide accurate and flexible tools for Lamb wave analysis in complex structures.
    • The hybrid BE-FE method offers significant improvements for studying wave interaction with defects.
    • These methods are applicable to practical engineering problems in materials characterization and structural integrity assessment.