Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
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IssuesArchive of Issues2024-5pp.2843-2860

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Mohamed I.A. Othman, Devender Sheoran, Ramesh Kumar, and Kapil Kumar Kalkal, "Thermo-Dynamical Interactions in a Fibre-Reinforced Orthotropic Magneto-Elastic Material with Temperature-Dependent Properties and Gravity," Mech. Solids. 59 (5), 2843-2860 (2024)
Year 2024 Volume 59 Number 5 Pages 2843-2860
DOI 10.1134/S0025654424604105
Title Thermo-Dynamical Interactions in a Fibre-Reinforced Orthotropic Magneto-Elastic Material with Temperature-Dependent Properties and Gravity
Author(s) Mohamed I.A. Othman (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519 Egypt, m_i_a_othman@yahoo.com)
Devender Sheoran (Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, Haryana, 125001 India, maths.dev@gmail.com)
Ramesh Kumar (Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, Haryana, 125001 India, rkarwasra78@gmail.com)
Kapil Kumar Kalkal (Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, Haryana, 125001 India, kapilkalkal_gju@rediffmail.com)
Abstract In this paper, the Green-Lindsay theory is used to study two-dimensional interactions in fibre-reinforced orthotropic magneto-thermoelastic media with temperature dependence and gravity. Formulations are subjected to mechanical stress. An exact solution to the problem is achieved by applying normal mode techniques. In addition, comparisons were made to analyze the effects of temperature-dependent properties, gravity, magnetic field, time and gain parameters. Displacement, stress and temperature components are numerically calculated for appropriate materials and presented graphically. Graphical results show that reinforcement, gravity, magnetic field, temperature-dependent properties and time have a significant influence on the distribution of all physical quantities. Some interesting special cases emerge from this report.
Keywords fibre-reinforcement, magneto-thermoelasticity, orthotropic, temperature dependent properties, gravity
Received 04 June 2024Revised 22 July 2024Accepted 30 July 2024
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