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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2023-3pp.1006-1029

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Iqbal Kaur and Kulvinder Singh, "Thomson Effect in Photo-Magneto-Electro-Thermoelastic Material with Improved Green Nagdhi-III Theory and Modified Couple Stress Theory," Mech. Solids. 58 (3), 1006-1029 (2023)
Year 2023 Volume 58 Number 3 Pages 1006-1029
DOI 10.3103/S002565442260180X
Title Thomson Effect in Photo-Magneto-Electro-Thermoelastic Material with Improved Green Nagdhi-III Theory and Modified Couple Stress Theory
Author(s) Iqbal Kaur (Faculty of Mathematics, Government College for Girls, Palwal, Kurukshetra, India, bawahanda@gmail.com)
Kulvinder Singh (Faculty of Engineering, UIET, Kurukshetra University, Haryana, India, ksingh2015@kuk.ac.in)
Abstract This research deals with the study of Thomson effect in homogeneous photo-magnetoelectro- thermoelastic rotating medium, influenced by linearly distributed load and as a result of modified couple stress theory (MCST). The charge density of inertia particles is taken as a function of the time of the induced electric current. The improved Green Nagdhi (GN)-III theory of heat conduction equation and with hyperbolic two-temperature (H2T) is used to formulate the model of the problem. This mathematical model is solved using Laplace’s and Fourier’s transforms. The complete solutions for various physical fields such as components of displacement, thermodynamic temperature, conductive temperature, carrier density and axial stress as well as couple stress are obtained in the transformed domain. To get the solution in physical domain, numerical inversion techniques have been employed. The Thomson effect with GN-III theory and MCST with hyperbolic two temperature as well as classical two temperature is shown graphically on the physical quantities.
Keywords hyperbolic two temperature, length scale parameters, Thomson effect, modified couple stress theory
Received 21 December 2022Revised 01 April 2023Accepted 03 April 2023
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