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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-3pp.1659-1671

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L. Anitha, R. Mehala Devi, R. Selvamani, and F. Ebrahimi, "Nonlocal Couple Stress Vibration of Pasted Thermo Elastic Multilayered Cylinder with Hall Current and Multi Dual Phase Lags," Mech. Solids. 59 (3), 1659-1671 (2024)
Year 2024 Volume 59 Number 3 Pages 1659-1671
DOI 10.1134/S0025654424603045
Title Nonlocal Couple Stress Vibration of Pasted Thermo Elastic Multilayered Cylinder with Hall Current and Multi Dual Phase Lags
Author(s) L. Anitha (Department of Mathematics, Nehru Memorial College Puthanampatti, Trichy, Tamilnadu, India)
R. Mehala Devi (Department of Mathematics, Nandha Arts and Science College Erode, Tamilnadu, India)
R. Selvamani (Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, 641114 India, selvam1729@gmail.comIran)
F. Ebrahimi (Department of Mechanical Engineering, Imam Khomeini International University Qazvin, Iran)
Abstract This investigation aims to develop a thermoelasticity model to analyze the propagation of thermoelastic waves in a composite hollow circular cylinder with an LEMV/CFRP interface layer. The model integrates a modified non-local couple stress theory to address challenges related to higherorder time derivatives. The derivation yields three partial differential equations governing the modified non-local couple stress of the cylinder in axisymmetric mode. By applying linear elasticity theory, these equations are solved to derive frequency equations for the cylinder’s external surface under traction-free conditions while ensuring boundary continuity. The study investigates how variations in wave number and thickness affect the frequency, temperature, and displacements within the field. To evaluate the impact of different thermoelasticity theories and non-local coupled stress parameters, the research employs tables and graphs for comparison and estimation. These visual aids provide valuable insights into the behavior of the composite cylinder across various scenarios.
Keywords magneto-thermal cylinders, non local couple stress, hall current, higher order time derivatives, LEMV/CFRP layers
Received 10 March 2024Revised 03 July 2024Accepted 03 July 2024
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