 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 58, Issue 6 / 2023 | Next article >> |
| S. Selvi, R. Selvamani, and L. Anitha, "Nonlocal and Couple Stress Effects on Thermal Vibration of a Layered Anisotropic Dissipative Plate," Mech. Solids. 58 (6), 2349-2363 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
6 |
Pages |
2349-2363 |
| DOI |
10.3103/S0025654423601362 |
| Title |
Nonlocal and Couple Stress Effects on Thermal Vibration of a Layered Anisotropic Dissipative Plate |
| Author(s) |
S. Selvi (Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Tamil Nadu, India)
R. Selvamani (Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu, India, selvam1729@gmail.com)
L. Anitha (Department of Mathematics, Nehru Memorial College, Trichy, Tamil Nadu, India) |
| Abstract |
The present study aims to investigate the propagation of transverse waves in an inhomogeneous, anisotropic, thinly layered laminated solid medium. Transverse waves are essential tools for understanding the Earth's interior. The Earth is a dynamic, pre-stressed material due to factors like external forces and ongoing creep processes. Natural stresses are still prevalent within the Earth's layers, and these can have a substantial impact on both the medium’s stability and the propagation of elastic waves caused by seismic events or explosions. A more precise assessment can be achieved by accounting for the bending rigidity of the laminated structures. This study delves into the repercussions of thermal stress and couple stress on the transverse wave propagation within a layered medium characterized by nonlocal anisotropic properties. Through the incorporation of linear inhomogeneities, a frequency equation is derived, shedding light on the determination of phase velocity for these waves. Specific cases are meticulously examined to provide further clarity on the underlying phenomenon. Extensive numerical simulations are executed, encompassing a wide range of parameter values, including the anisotropic factor, thermal stress parameter, initial stress parameter, nonlocal parameter, and couple stress parameter. The utilization of MATLAB software aids in the visual representation, effectively accentuating the notable impact of these parameters. The graphical representation underscores the significant role played by these factors in the investigated phenomenon, contributing valuable insights into the understanding of wave propagation in intricate geological materials. |
| Keywords |
thermal stress, incompressible, transverse wave, nonlocality, initial stress, couple stress |
| Received |
03 August 2023 | Revised |
25 August 2023 | Accepted |
17 October 2023 |
| Link to Fulltext |
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