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Elastic guided waves in a layered plate with rectangular cross section.

O M Mukdadi1, Y M Desai, S K Datta

  • 1Department of Mechanical Engineering, University of Colorado, Boulder 80309-0427, USA.

The Journal of the Acoustical Society of America
|November 15, 2002
PubMed
Summary

This study analyzes guided waves in finite-width layered elastic plates using a semianalytical finite element method. Results reveal how plate width and coatings affect wave dispersion, offering insights for material design.

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Area of Science:

  • Solid Mechanics
  • Wave Propagation
  • Materials Science

Background:

  • Guided waves in layered elastic structures are crucial for structural health monitoring and non-destructive testing.
  • Previous models often assumed infinite width, limiting applicability to real-world finite structures.
  • Understanding wave behavior in finite geometries is essential for accurate analysis.

Purpose of the Study:

  • To investigate guided wave propagation in layered elastic plates with finite width and thickness.
  • To develop and apply a semianalytical finite element method (FEM) for this analysis.
  • To examine the influence of plate width, anisotropic properties, and interface layers on wave dispersion.

Main Methods:

  • A semianalytical finite element method combining 2D FEM for cross-section deformation and analytical wave representation.

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  • The method accommodates arbitrary layer numbers and anisotropic material properties.
  • Comparison of numerical results with those for infinite plates and investigation of coating effects.

    • Main Results:

    • The study quantifies the effect of finite plate width on guided wave dispersion characteristics.
    • Numerical results demonstrate significant differences compared to infinite plate models.
    • The impact of thin anisotropic coatings and interface layers on wave propagation is analyzed.

    Conclusions:

    • The semianalytical FEM is effective for analyzing guided waves in finite-width layered plates.
    • Plate width and anisotropic layers/coatings demonstrably alter guided wave dispersion.
    • This research provides a valuable tool for designing and analyzing layered elastic structures.