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Abstract <p>This study examines the propagation of shear waves on a highly inhomogeneous multi-layered elastic cylinder embedded in Winkler elastic foundations. The interface of the structure has been considered to bear generalized interfacial conditions, upon which the widely used perfect interfacial conditions turn out to be a special case. The harmonic wave solution has been deplored for the examination. Certainly, the discussion highlighted the roles of the Winkler foundation and layer thickness and the influence of material homogeneity versus non-homogeneity on the scaled phase velocity, dimensionless wave number, and scaled frequency, respectively, concerning layer thickness. In addition, it is observed that dimensionless vibrational displacements varied in response to changes in both the contact parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({{\varepsilon }_{a}}\)</EquationSource> <!--MechSol2560068Mubaraki-m1--> </InlineEquation> and the angle <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\theta \)</EquationSource> <!--MechSol2560068Mubaraki-m2--> </InlineEquation>. Moreover, this study is set to supplement the known literature concerning the emerging field of multi-layered construction and provide insights into constructing reliable materials in the field of material science.</p>

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Shear Wave Propagation in Inhomogeneous Multi-Layered Elastic Cylinders between Winkler Foundations

  • 期刊论文

  • 发表日期：

    2025年8月26日

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  • Ali M. Mubaraki,
  • Amnah M. Alharbi,
  • Fatimah Al-Mutairi

摘要

Abstract

This study examines the propagation of shear waves on a highly inhomogeneous multi-layered elastic cylinder embedded in Winkler elastic foundations. The interface of the structure has been considered to bear generalized interfacial conditions, upon which the widely used perfect interfacial conditions turn out to be a special case. The harmonic wave solution has been deplored for the examination. Certainly, the discussion highlighted the roles of the Winkler foundation and layer thickness and the influence of material homogeneity versus non-homogeneity on the scaled phase velocity, dimensionless wave number, and scaled frequency, respectively, concerning layer thickness. In addition, it is observed that dimensionless vibrational displacements varied in response to changes in both the contact parameter \({{\varepsilon }_{a}}\) and the angle \(\theta \) . Moreover, this study is set to supplement the known literature concerning the emerging field of multi-layered construction and provide insights into constructing reliable materials in the field of material science.