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Structural Engineering and Mechanics
  Volume 82, Number 4, May25 2022 , pages 459-467
DOI: https://doi.org/10.12989/sem.2022.82.4.459
 


Influence of variable thermal conductivity on waves propagating through thermo-elastic medium
Sayed M. Abo-Dahab, Adnan Jahangir and Adiya Dar

 
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.
 
Key Words
    dual phase lag model; harmonic wave; micro-temperature; Thermo-elastic wave; variable thermal conductivity
 
Address
Sayed M. Abo-Dahab: Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt; Department of Computer Science, Faculty of Computers and Information, Luxor University, Egypt
Adnan Jahangir, Adiya Dar: Department of Mathematics, COMSATS University Islamabad, Wah Campus, Pakistan, Pakistan
 

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