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A Journal of Russian Academy of Sciences
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Rafiya Nazir and Varun Kumar, "Study of Memory-Dependent Derivatives in Micropolar Thermoelastic Media Subjected to Magnetic and Rotational Effects," Mech. Solids. 60 (3), 1885-1900 (2025)
Year 2025 Volume 60 Number 3 Pages 1885-1900
DOI 10.1134/S0025654424605639
Title Study of Memory-Dependent Derivatives in Micropolar Thermoelastic Media Subjected to Magnetic and Rotational Effects
Author(s) Rafiya Nazir (Department of Mathematics, Lovely Professional University, Phagwara, Punjab, 144411 India, rafiyanazir25@gmail.com)
Varun Kumar (Department of Mathematics, Lovely Professional University, Phagwara, Punjab, 144411 India, varun.kumar@hotmail.co.in)
Abstract To investigate the elastic responses of materials with memory for a rotating media subjected to magnetic effects, an innovative mathematical model in micropolar generalized thermoelasticity is being developed. The novelty of the current study lies in integrating memory effects with microstructural features, which allows for the investigation of advanced materials that possesses both micro and macro level time-dependent nature. To determine the analytical solution of the required problem, the normal mode technique along with the Helmholtz potential’s, is being used. The normal mode technique transforms the system of partial differential equations into a system of ordinary differential equations, resulting in an analytical solution of the problem. Graphical analysis has been provided, depicting variations in the temperature distribution, force stress, couple stress, and displacement components.
Keywords Memory-dependent derivative, normal mode analysis, Green-Lindsay model, rotating medium
Received 01 February 2025Revised 20 April 2025Accepted 20 April 2025
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