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Abstract <p>This study is currently examining P-wave propagation and reflection in nonlocal solids, using the Moore Gibson Thompson (MGT) model as a basis. The governing equations are subjected to Helmholtz decomposition vector analysis, resulting in a set of algebraic equations. The nontrivial solution to the algebraic equations yields two coupled longitudinal waves (P-wave and T-wave) and one shear wave (SV-wave), whose propagation speeds and amplitude ratios are computed. By imposing relevant boundary values we derive amplitude ratios of the waves and display them graphically. The role of nonlocality and thermal relaxation time parameter in shaping the results is analyzed and graphically depicted. The prior results are retrieved as a special case when the thermal relaxation time parameter is neglected.</p>

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Study of Moore Gibson Thompson Model for Propagation and Reflection of P-Wave through Nonlocal Solids

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • Atifa Zaheer,
  • Muhammad Jamal,
  • Hashmat Ali,
  • Ehtsham Azhar

摘要

Abstract

This study is currently examining P-wave propagation and reflection in nonlocal solids, using the Moore Gibson Thompson (MGT) model as a basis. The governing equations are subjected to Helmholtz decomposition vector analysis, resulting in a set of algebraic equations. The nontrivial solution to the algebraic equations yields two coupled longitudinal waves (P-wave and T-wave) and one shear wave (SV-wave), whose propagation speeds and amplitude ratios are computed. By imposing relevant boundary values we derive amplitude ratios of the waves and display them graphically. The role of nonlocality and thermal relaxation time parameter in shaping the results is analyzed and graphically depicted. The prior results are retrieved as a special case when the thermal relaxation time parameter is neglected.