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Abstract <p>Anti-plane shear horizontal (SH) waves in plates plays a crucial role as guided waves in non-destructive testing techniques, biosensing devices and structural health monitoring. This study thoroughly investigates the characteristics of SH waves in an infinitely extended Weiskopf sandy material plate with finite thickness. Using an analytical approach similar to the method of separation of variables, dispersion relations are derived for three types of boundary conditions: stress-free, rigidly fixed, and mixed. For stress-free and rigidly fixed boundaries, the resulting wave motions are classified into symmetric and skew-symmetric modes. These distinct wave modes, however, do not occur under mixed boundary conditions. Notably, the dispersion relation remains invariant under mixed boundary conditions even when the stress-free and rigidly fixed surfaces are interchanged. The group velocity of SH waves is also derived analytically. Dispersion curves are plotted to illustrate various symmetric and skew-symmetric modes, with particular emphasis on the effects of the sandiness parameter and plate thickness on wave dispersion behavior<i>.</i></p>

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Anti-Plane Shear Horizontal Wave Propagation in a Dry Sandy Plate: A Detailed Investigation under Various Boundary Conditions

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • V. Sharma,
  • J. Singh,
  • S. Deep

摘要

Abstract

Anti-plane shear horizontal (SH) waves in plates plays a crucial role as guided waves in non-destructive testing techniques, biosensing devices and structural health monitoring. This study thoroughly investigates the characteristics of SH waves in an infinitely extended Weiskopf sandy material plate with finite thickness. Using an analytical approach similar to the method of separation of variables, dispersion relations are derived for three types of boundary conditions: stress-free, rigidly fixed, and mixed. For stress-free and rigidly fixed boundaries, the resulting wave motions are classified into symmetric and skew-symmetric modes. These distinct wave modes, however, do not occur under mixed boundary conditions. Notably, the dispersion relation remains invariant under mixed boundary conditions even when the stress-free and rigidly fixed surfaces are interchanged. The group velocity of SH waves is also derived analytically. Dispersion curves are plotted to illustrate various symmetric and skew-symmetric modes, with particular emphasis on the effects of the sandiness parameter and plate thickness on wave dispersion behavior.