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Sharma, Kunal, Marin, Marin, Kumar, Rajneesh. (1404). Thermomechanical deformation in a micropolar thermoviscoelastic solid under the Moore-Gibson-Thompson heat equation with non-local and hyperbolic two-temperature effects. , 56(4), 720-736. doi: 10.22059/jcamech.2025.397650.1525
Kunal Sharma; Marin Marin; Rajneesh Kumar. "Thermomechanical deformation in a micropolar thermoviscoelastic solid under the Moore-Gibson-Thompson heat equation with non-local and hyperbolic two-temperature effects". , 56, 4, 1404, 720-736. doi: 10.22059/jcamech.2025.397650.1525
Sharma, Kunal, Marin, Marin, Kumar, Rajneesh. (1404). 'Thermomechanical deformation in a micropolar thermoviscoelastic solid under the Moore-Gibson-Thompson heat equation with non-local and hyperbolic two-temperature effects', , 56(4), pp. 720-736. doi: 10.22059/jcamech.2025.397650.1525
Sharma, Kunal, Marin, Marin, Kumar, Rajneesh. Thermomechanical deformation in a micropolar thermoviscoelastic solid under the Moore-Gibson-Thompson heat equation with non-local and hyperbolic two-temperature effects. , 1404; 56(4): 720-736. doi: 10.22059/jcamech.2025.397650.1525

Thermomechanical deformation in a micropolar thermoviscoelastic solid under the Moore-Gibson-Thompson heat equation with non-local and hyperbolic two-temperature effects

Journal of Computational Applied Mechanics
دوره 56، شماره 4، دی 2025، صفحه 720-736    اصل مقاله (1.31 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jcamech.2025.397650.1525
نویسندگان
Kunal Sharma* 1؛ Marin Marin* 2، 3؛ Rajneesh Kumar* 4
1Cheminde Chandieu 25, 1006 Lausanne, Switzerland
2Department of Mathematics and Computer Science, Transilyania University of Brasov,500036 Brasov, Romania
3Academy of Romanian Scientists, Ilfov Street, 3, 050045 Bucharest, Romania
4Department of Mathematics, Kurukshetra University, Kurukshetra 136119, Haryana, India
چکیده
This study addresses an axisymmetric problem within the framework of micropolar thermoviscoelasticity, governed by the Moore-Gibson-Thompson (MGT) heat conduction equation. The analysis incorporates non-local elasticity and hyperbolic two-temperature (HTT) effects under applied mechanical loading. By introducing appropriate potential functions, the governing system is reformulated into a dimensionless form and solved using Laplace and Hankel transform techniques. Boundary conditions involving a normally distributed mechanical force and a ramp-type thermal input are considered to examine their impact. Analytical expressions for displacements, stress components, tangential couple stress, conductive temperature, and thermodynamic temperature are derived in the transformed domain and subsequently recovered using a numerical inversion method. Graphical representations illustrate how variations in viscosity, non-locality, and HTT parameters influence thermal and mechanical responses. Special cases are also examined to validate the model's generality. This research holds relevance for industrial applications in steel manufacturing and petroleum engineering, as well as in geomechanical modeling, particularly in understanding stress and temperature behavior during seismic activities.
کلیدواژه‌ها
Micropolar Thermoviscoelasticity؛ Moore-Gibson-Thompson Equation؛ Hankel Transform Techniques؛ Hyperbolic Two-Temperature Model؛ Analytical Thermomechanical Modeling؛ Seismic Thermoelastic Simulation
مراجع
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[12]        S. Sharma, S. Khator, Power generation planning with reserve dispatch and weather uncertainties including penetration of renewable sources, International Journal of Smart Grid and Clean Energy, pp. 292-303, 01/01, 2021.

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[15]        A. Zeeshan, M. I. Khan, R. Ellahi, M. Marin, Computational Intelligence Approach for Optimising MHD Casson Ternary Hybrid Nanofluid over the Shrinking Sheet with the Effects of Radiation, Applied Sciences, Vol. 13, No. 17, pp. 9510, 2023.

[16]        A. E. Abouelregal, S. S. Askar, M. Marin, B. Mohamed, The theory of thermoelasticity with a memory-dependent dynamic response for a thermo-piezoelectric functionally graded rotating rod, Scientific Reports, Vol. 13, No. 1, pp. 9052, 2023/06/03, 2023.

[17]        S. Sharma, M. Marin, H. Altenbach, Elastodynamic interactions in thermoelastic diffusion including non-local and phase lags, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 105, No. 1, pp. e202401059, 2025.

[18]        M. Marin, S. Sharma, R. Kumar, S. Vlase, Fundamental solution and Green's function in orthotropic photothermoelastic media with temperature-dependent properties under the Moore–Gibson–Thompson model, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 105, No. 6, pp. e70124, 2025.

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