 | | 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
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| In English (Mech. Solids): | | 4760 |
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| Deepak Kumar and Brijendra Paswan, "Mathematical Aspects of Reflection Phenomena at the Stress-Free Interface of Micropolar Transversely Isotropic Half-Space under Nonlocal Theory," Mech. Solids. 59 (2), 1072-1082 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
2 |
Pages |
1072-1082 |
| DOI |
10.1134/S0025654423602276 |
| Title |
Mathematical Aspects of Reflection Phenomena at the Stress-Free Interface of Micropolar Transversely Isotropic Half-Space under Nonlocal Theory |
| Author(s) |
Deepak Kumar (Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh, 495009 India, deepakkumarggu@gmail.com)
Brijendra Paswan (Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh, 495009 India, brijendrapaswan@gmail.com) |
| Abstract |
In this paper, we have examined the reflection of plane waves at the stress-free boundary of
nonlocal micropolar transversely isotropic half-space with nonlocal theory. Using convenient boundary conditions, the mathematical expression of reflection coefficients and phase velocity for the
reflected waves are derived in closed form. The expressions of energy ratios are also obtained in explicit
form. Numerical computations have been performed to exhibits the analytical findings for graphical
means with the aid of numerical data. The effects of the nonlocal parameter on the reflection coefficients, phase velocity and energy ratios are discussed numerically and illustrated graphically. It has
been verified that during reflection phenomena, the sum of energy ratios is equal to unity at each incident angle. |
| Keywords |
reflection coefficients, nonlocal parameters, transversely isotropic material, micropolar materials |
| Received |
05 November 2023 | Revised |
13 May 2024 | Accepted |
14 May 2024 |
| Link to Fulltext |
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