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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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Modelling guided waves in acoustoelastic and complex waveguides: From SAFE theory to an open-source tool.

Menglong Liu1, Wenyan Zhang1, Xiao Chen1

  • 1School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen 518055, PR China.

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|September 3, 2023
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Summary

A new open-source tool, SAFEDC, calculates guided wave (GW) dispersion in complex structures. This tool enhances material characterization and structural health monitoring by providing detailed wave propagation insights.

Keywords:
AcoustoelasticityDispersion curveGuided waveSemi-analytical finite element

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Computational Engineering

Background:

  • Guided wave (GW) techniques are crucial for material characterization, damage detection, and structural health monitoring.
  • A deep understanding of GW behavior is fundamental for advancing these diagnostic methods.
  • Existing methods often lack the flexibility to handle complex waveguide geometries and material properties.

Purpose of the Study:

  • To develop an open-source dispersion calculator for guided waves (GWs) in acoustoelastic and complex waveguides.
  • To provide a comprehensive tool for analyzing GW propagation in isotropic and anisotropic materials under various conditions.
  • To facilitate a deeper understanding and utilization of GWs in research and engineering applications.

Main Methods:

  • Employed the semi-analytical finite element (SAFE) method as the foundational approach.
  • Utilized 1D-Gauss-Lobatto-Legendre SAFE (1D-GLL-SAFE) for plate waveguides, optimizing accuracy and efficiency.
  • Applied 2D-Gauss SAFE with triangular meshing for general waveguides, enhancing meshing convenience.
  • Incorporated different acoustoelasticity theories to model GWs under mechanical loading.

Main Results:

  • Developed SAFEDC (SAFE-based dispersion calculator), an open-source tool for GW dispersion analysis.
  • SAFEDC accurately calculates GWs in pre-stressed isotropic waveguides, general cross-sections, and complex laminates.
  • The tool provides comprehensive GW features, including phase/group velocities, wave numbers, displacement/stress/strain structures, and propagation animations.

Conclusions:

  • The developed SAFEDC tool offers a versatile and efficient solution for analyzing guided waves in diverse and complex structures.
  • It significantly aids researchers and engineers in understanding GW behavior for applications in material characterization and structural health monitoring.
  • The open-source nature of SAFEDC promotes wider adoption and further development in the field.