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<p>The work deals with the fundamental solution of the equations of steady oscillations in the Lord–Shulman theory of thermoelasticity with microtemperatures recently proposed by Bazarra et al. (2020). In addition, the propagation of plane harmonic waves in an isotropic infinite thermoelastic medium under the Lord–Shulman theory of thermoelasticity with microtemperatures is studied. A dispersion relation is derived and obtained for three sets of coupled longitudinal waves. Characterizations of the wave profile, like phase velocity, penetration depth, and specific loss are examined numerically.</p>

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On the Fundamental and Plane Wave Solutions of the Equations of the Lord–Shulman Theory of Thermoelasticity with Microtemperatures

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • Satyam Sachan,
  • Roushan Kumar,
  • Amit Kumar

摘要

The work deals with the fundamental solution of the equations of steady oscillations in the Lord–Shulman theory of thermoelasticity with microtemperatures recently proposed by Bazarra et al. (2020). In addition, the propagation of plane harmonic waves in an isotropic infinite thermoelastic medium under the Lord–Shulman theory of thermoelasticity with microtemperatures is studied. A dispersion relation is derived and obtained for three sets of coupled longitudinal waves. Characterizations of the wave profile, like phase velocity, penetration depth, and specific loss are examined numerically.