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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-4pp.2946-2961

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Meenu Rani, Ravinder Kumar Sahrawat, Sonam Rani, and Krishan Kumar, "Two Dimensional Non-Local Couple Stress Micropolar Thermoelasticity in Orthotropic Medium with Void using Eigen Value Approach," Mech. Solids. 60 (4), 2946-2961 (2025)
Year 2025 Volume 60 Number 4 Pages 2946-2961
DOI 10.1134/S0025654425601284
Title Two Dimensional Non-Local Couple Stress Micropolar Thermoelasticity in Orthotropic Medium with Void using Eigen Value Approach
Author(s) Meenu Rani (Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, 131039 India, kharetameenu@gmail.com)
Ravinder Kumar Sahrawat (Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, 131039 India, sehrawatravinder@yahoo.co.in)
Sonam Rani (Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, 131039 India, sonamtehlan44@gmail.com)
Krishan Kumar (Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, 131039 India, dahiya.krishan@gmail.com)
Abstract In this paper, we deal with boundary value problem in two-dimensional medium based on non-local couple stress orthotropic micropolar thermoelastic solid with voids. A traction-free insulated and isothermal boundary of a non-local thermoelastic solid are considered. The governing equations for two-dimensional problem of the medium are obtained as a vector matrix differential equation which are then solved by using eigenvalue approach. The effect of non-local, couple stress and void parameter on the displacements and temperature are computed numerically and presented graphically. Particular cases are also established and compared with the known results.
Keywords Non-local, couple stress, micropolar, thermoelastic, orthotropic, void
Received 19 March 2025Revised 21 May 2025Accepted 21 May 2025
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