 | | 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: | | 13088 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8125
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| In English (Mech. Solids): | | 4963 |
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| Atifa Zaheer, Muhammad Jamal, Hashmat Ali, and Ehtsham Azhar, "Study of Moore Gibson Thompson Model for Propagation and Reflection of P-Wave through Nonlocal Solids," Mech. Solids. 60 (1), 241-260 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
241-260 |
| DOI |
10.1134/S0025654424606153 |
| Title |
Study of Moore Gibson Thompson Model for Propagation and Reflection of P-Wave through Nonlocal Solids |
| Author(s) |
Atifa Zaheer (Department of Mathematics, PMAS Arid Agriculture University Rawalpindi, Shamsabad, Pakistan, atifazaheer206@gmail.com)
Muhammad Jamal (Department of Mathematics, PMAS Arid Agriculture University Rawalpindi, Shamsabad, Pakistan, jamal@uaar.edu.pk)
Hashmat Ali (Department of Mathematics, COMSATS University Islamabad (CUI), Park Road Tarlai Kalan, Islamabad, 45550 Pakistan, hashmat@uaar.edu.pk)
Ehtsham Azhar (Department of Mathematics, PMAS Arid Agriculture University Rawalpindi, Shamsabad, Pakistan, ehtsham@uaar.edu.pk) |
| Abstract |
This study is currently examining P-wave propagation and reflection in nonlocal solids,
using the Moore Gibson Thompson (MGT) model as a basis. The governing equations are subjected
to Helmholtz decomposition vector analysis, resulting in a set of algebraic equations. The nontrivial
solution to the algebraic equations yields two coupled longitudinal waves (P-wave and T-wave) and
one shear wave (SV-wave), whose propagation speeds and amplitude ratios are computed. By imposing relevant boundary values we derive amplitude ratios of the waves and display them graphically. The
role of nonlocality and thermal relaxation time parameter in shaping the results is analyzed and graphically depicted. The prior results are retrieved as a special case when the thermal relaxation time
parameter is neglected. |
| Keywords |
Moore Gibson Thompson Model (MGT), GN II, non local, dispersion, attenuation, reflection |
| Received |
04 November 2024 | Revised |
06 January 2025 | Accepted |
07 January 2025 |
| Link to Fulltext |
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