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<p>In the present discussion, wave analysis in a&#xa0;porous thermoelastic plate with microtemperature under nonlocal and dual phase lag parameters subjected to isothermal and insulated boundaries has been explored. After converting them into a two-dimensional case, governing equations are made dimensionless, and potential functions are used for further simplification. The normal mode approach is applied to solve these equations. This approach is a powerful technique that provides appropriate solutions with no presumable restriction on displacement, temperature, volume fraction field, and stress distribution. For stress free, insulated, and isothermal boundaries, frequency equations are determined for symmetric and skew-symmetric wave propagation modes. Phase velocity, attenuation coefficient, penetration depth, and specific loss are computed numerically and presented graphically corresponding to thickness and wave number. The second part explores the deformation due to thermomechanical sources in the porous thermoelastic half-space with microtemperature under nonlocal and dual phase lag parameters. Normal stress, tangential stress, distribution of porosity, normal first heat flux moment vector and temperature field are computed numerically, and presented graphically. Validation and comparison are also mentioned in this study. A physical view presented in this work may be helpful for the&#xa0;composition of new material, geophysics and other scientific domains.</p>

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Wave Analysis and Deformation in Poro-thermoelastic Medium with Microtemperature Under Nonlocal Elasticity Theory and Dual Phase Lag Model

  • 期刊论文

  • 发表日期：

    2025年3月14日

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  • Pooja Rani,
  • Rajneesh Kumar,
  • Geeta Partap

摘要

In the present discussion, wave analysis in a porous thermoelastic plate with microtemperature under nonlocal and dual phase lag parameters subjected to isothermal and insulated boundaries has been explored. After converting them into a two-dimensional case, governing equations are made dimensionless, and potential functions are used for further simplification. The normal mode approach is applied to solve these equations. This approach is a powerful technique that provides appropriate solutions with no presumable restriction on displacement, temperature, volume fraction field, and stress distribution. For stress free, insulated, and isothermal boundaries, frequency equations are determined for symmetric and skew-symmetric wave propagation modes. Phase velocity, attenuation coefficient, penetration depth, and specific loss are computed numerically and presented graphically corresponding to thickness and wave number. The second part explores the deformation due to thermomechanical sources in the porous thermoelastic half-space with microtemperature under nonlocal and dual phase lag parameters. Normal stress, tangential stress, distribution of porosity, normal first heat flux moment vector and temperature field are computed numerically, and presented graphically. Validation and comparison are also mentioned in this study. A physical view presented in this work may be helpful for the composition of new material, geophysics and other scientific domains.