 | | 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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S.M. Abo-Dahab, Aftab Khan, Samar Alshalhoub, Daher Albalwi, Hajra Kaneez, and Saad Althobaiti, "Initial Stress, Voids, and Magnetic Field Influence on Rotational Waves Reflection at a free Surface," Mech. Solids. 60 (1), 423-434 (2025) |
Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
423-434 |
DOI |
10.1134/S0025654424606669 |
Title |
Initial Stress, Voids, and Magnetic Field Influence on Rotational Waves Reflection at a free Surface |
Author(s) |
S.M. Abo-Dahab (Mathematics Department, Faculty of Science, South Valley University, Qena, 83523 Egypt, sdahb@yahoo.com)
Aftab Khan (Department of Mathematics, COMSATS, Institute of Information, Park Road, Chakshahzad, Islamabad, Pakistan, aftab.khan@comsats.edu.pk)
Samar Alshalhoub (Department of Curricula and Teaching Methods, Faculty of Education, King Saud University, Saudi Arabia, Salshalhoub@ksu.edu.sa)
Daher Albalwi (Yanbu Industrial College, The Royal Commission for Jubail and Yanbu, Yanbu, 30436 Saudi Arabia, albalwim@rcyci.edu.sa)
Hajra Kaneez (Department of Mathematics, COMSATS, Institute of Information, Park Road, Chakshahzad, Islamabad, Pakistan, hajramath@yahoo.com)
Saad Althobaiti (eDepartment of Science and Technology, University College Ranyah, Taif University, Ranyah, 21975 Saudi Arabia, snthobaiti@tu.edu.sa) |
Abstract |
In this work, the effects of rotation, voids, magnetic fields, and initial stress on the reflection of rotational waves at a free surface are investigated. The problem is solved by applying normal
mode analysis, which analyzes particular circumstances and derives the reflection of rotating waves at
a free surface with voids. Two damped P-waves and an SV-wave are reflected when a rotational wave
is incident on the free surface of an elastic half space. P-waves are solely impacted by magnetic field,
but SV-waves are impacted by both magnetic field and starting tension among these waves. These findings may be useful in future research on the characteristics of seismic waves. Graphs show how rotational waves are reflected at a free surface with voids Concerns magnetic field and initial stress for
void-filled free surfaces. The findings demonstrate the significant influence that the existence of rotation, voids, magnetic field, and beginning stress has on the values of physical variables, particularly
when the magnetic field is larger. A comparison has been made with the previous works obtained by
others to display the influence of external parameters on the reflection phenomenon that agree with
the current results if the external fields add neglected. The results obtained applicable in diverse related
fields as geology, acoustics, physics, engineering and etc. |
Keywords |
Reflection, P-wave, SV-wave, initial stress, voids, rotation |
Received |
23 November 2024 | Revised |
10 January 2025 | Accepted |
16 January 2025 |
Link to Fulltext |
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