Structural Engineering and Mechanics

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Influence of variable thermal conductivity on waves propagating through thermo-elastic medium

  • Abo-Dahab, Sayed M. (Department of Mathematics, Faculty of Science, South Valley University) ;
  • Jahangir, Adnan (Department of Mathematics, COMSATS University Islamabad, Wah Campus) ;
  • Dar, Adiya (Department of Mathematics, COMSATS University Islamabad, Wah Campus)
  • Received : 2019.12.03
  • Accepted : 2022.02.11
  • Published : 2022.05.25
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Abstract

We investigated the influence of variable thermal conductivity on waves propagating through the elastic medium. Infinitesimal deformation results in generation of thermal signal, and is analyzed by using dual phase lag heat (DPL) conduction model. The medium considered is homogenous, isotropic and bounded by thermal shock. The elastic waves propagating through the medium are considered to be harmonic in nature, and expressions for the physical variables are obtained accordingly. Analytically, we obtained the expressions for displacement components, temperature, micro-temperature component and stresses. The theoretical results obtained are computed graphically for the particular medium by using MATLAB.

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References

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