 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| Rajneesh Kumar, Sachin Kaushal, and Gulshan Sharma, "Axi-Symmetric Problem in the Thermoelastic Medium under Moore-Gibson-Thompson Heat Equation with Hyperbolic Two Temperature, Non-Local and Fractional Order," Mech. Solids. 59 (1), 410-430 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
1 |
Pages |
410-430 |
| DOI |
10.1134/S0025654423601891 |
| Title |
Axi-Symmetric Problem in the Thermoelastic Medium under Moore-Gibson-Thompson Heat Equation with Hyperbolic Two Temperature, Non-Local and Fractional Order |
| Author(s) |
Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, 136119 India)
Sachin Kaushal (Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Phagwara, 144411 India, sachin_kuk@yahoo.co.in)
Gulshan Sharma (Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Phagwara, 144411 India; Graduate Department of Mathematics, Doaba College Jalandhar, Jalandhar, Punjab, 144001 India) |
| Abstract |
In this manuscript, a two-dimensional axi-symmetric problem within a thermoelastic
medium featuring fractional order derivatives, focusing on the Moore-Gibson-Thompson heat equation (MGT) in response to mechanical loading is investigated. The study assesses the problem’s applicability under the influence of hyperbolic two temperature (HTT) and the non-local parameter resulting from ring and disc loads. The governing equations are rendered dimensionless, simplified through the introduction of potential functions, and solved using Laplace and Hankel transforms. Analytical
expressions for displacement, stresses, conductive temperature, and temperature distribution components are derived in the transformed domain. Numerical inversion techniques are employed to obtain
solutions in the physical domain. The purpose of the manuscript is to analyze the effects of non-local
parameters, HTT, and various thermoelasticity theories graphically on resulting stresses, conductive
temperature, and temperature distributions. It is observed that the behavior of composite materials
under mechanical loading is effected by non-local and HTT. It will provide information about the different constituents of a composite material respond to temperature changes and mechanical stresses,
which is crucial for designing and optimizing composite structures. Additionally, specific cases of
interest are deduced from the findings of this investigation. |
| Keywords |
Moore–Gibson–Thompson (MGT), hyperbolic two temperature (HTT), non-local, fractional order, ring load, disc load, integral transforms |
| Received |
05 October 2023 | Revised |
13 February 2024 | Accepted |
15 February 2024 |
| Link to Fulltext |
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