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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Lamb Waves Propagation Characteristics in Functionally Graded Sandwich Plates.

Jie Gao1, Jianbo Zhang2, Yan Lyu1

  • 1Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, China.

Sensors (Basel, Switzerland)
|June 10, 2022
PubMed
Summary

This study presents a novel method for analyzing Lamb waves in functionally graded material (FGM) sandwich plates without slicing. The research details the calculation of wave propagation characteristics and discusses gradient function effects on dispersion curves.

Keywords:
Lamb wave dispersion curveLegendre polynomial series expansion methodfinite element simulationfunctionally graded materialsvolume fraction curve

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Acoustics

Background:

  • Functionally Graded Materials (FGM) exhibit superior mechanical properties, driving significant research interest.
  • Lamb wave propagation in FGMs is crucial for structural health monitoring and material characterization.

Purpose of the Study:

  • To develop a theoretical framework for calculating Lamb wave propagation in FGM sandwich plates.
  • To introduce a layer-bypassing analytical method for FGM analysis.
  • To investigate the impact of gradient functions on Lamb wave dispersion.

Main Methods:

  • Combining FGM volume fraction curves with Legendre polynomial series expansion for theoretical analysis.
  • Utilizing the global matrix method for comparison with a layered FGM model.
  • Performing finite element simulations and acoustic characteristic detection experiments (defocusing measurement).

Main Results:

  • Extracted Lamb wave dispersion curves from numerical simulations.
  • Validated the proposed theoretical method against layered models and experimental simulations.
  • Demonstrated the influence of gradient function variations on Lamb wave dispersion characteristics.

Conclusions:

  • The proposed method efficiently calculates Lamb wave propagation in FGM sandwich plates without layer discretization.
  • The study provides a validated approach for analyzing acoustic characteristics in FGMs.
  • Understanding gradient function effects is key for tailoring FGM properties for specific applications.