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IssuesArchive of Issues2025-4pp.3132-3144

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Saurav Sharma, Rajneesh Kumar, S.M. Abo-Dahab, Montaser Fekry, and Saad Althobaiti, "Wave Propagation Analysis in Thermoelastic Media Using Modified Couple Stress and Higher-Order Phase-Lag Approaches," Mech. Solids. 60 (4), 3132-3144 (2025)
Year 2025 Volume 60 Number 4 Pages 3132-3144
DOI 10.1134/S0025654425600965
Title Wave Propagation Analysis in Thermoelastic Media Using Modified Couple Stress and Higher-Order Phase-Lag Approaches
Author(s) Saurav Sharma (Department of Industrial Engineering, University of Houston, Houston, United State, rajneesh_kuk@rediffmail.com)
Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, 136119 India, sauravkuk@gmail.com)
S.M. Abo-Dahab (Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523 Egypt, sdahb@yahoo.com)
Montaser Fekry (Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523 Egypt, montaser.fekry@yahoo.com)
Saad Althobaiti (Department of Science and Technology, University College Ranyah, Taif University, Ranyah, 21975 Saudi Arabia, snthobaiti@tu.edu.sa)
Abstract The present study focuses on wave analysis in modified couple stress thermoelastic diffusion with multiple mode. After converting the governing equation into two-dimensional case, equations are mode dimensionless and potential functional are used for further simplification. Normal mode approach is applied to solve the problem. This approach is a powerful technique that provide apt with no presumable restriction on displacement, temperature and chemical potential and stress distribution. For stress free isothermal and isochemical potential, frequency equation is determined for wave propagation mode. Analytical solutions for displacements, temperature, and stresses have been obtained as functions of all external parameters inserted on the wave propagation phenomenon. Specific loss and penetration depth are computed numerically are presented in form of graphs to illustrate the impacts of three phase lag and one relaxation time. A comparison has been made between the thermal phase lags considered. The results obtained indicated to the strong impact of the modified couple stress and multi-phase-lag on waves analysis in the context of thermoelasticity and has applicable applications in diverse fields as geophysics, astronomy, engineering and acoustics.
Keywords Modified coupled stress, waves, thermoelastic, diffusion, multi-phase-lags, specific loss, penetration depth
Received 02 March 2025Revised 17 May 2025Accepted 19 May 2025
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