 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
|
| In English (Mech. Solids): | | 4853 |
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| << Previous article | Volume 59, Issue 4 / 2024 | Next article >> |
| S.M. Abo-Dahab, A.M. Abd-Alla, G.A. Yahya, Amnah M. Alharbi, and H. El-teary, "Effect of Rotation and Magnetic Field on Wave Propagation in a Cylindrical Poroelastic Bone," Mech. Solids. 59 (4), 2395-2406 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
2395-2406 |
| DOI |
10.1134/S0025654424604798 |
| Title |
Effect of Rotation and Magnetic Field on Wave Propagation in a Cylindrical Poroelastic Bone |
| Author(s) |
S.M. Abo-Dahab (Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt, sdahb@yahoo.com)
A.M. Abd-Alla (Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt, mohmrr@yahoo.com)
G.A. Yahya (Physics Department, Faculty of Science, Aswan University, Aswan, Egypt, gamal102@yahoo.com)
Amnah M. Alharbi (Department of Mathematics and Statistics, College of Science, Taif University, Taif, 21944 Saudi Arabia, amnah.h@tu.edu.sa)
H. El-teary (Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt, haimeltary392@gmail.com) |
| Abstract |
This study examines the dynamic responses of wet long bones, conceptualized as transversely isotropic, hollow cylinders (crystal class 6) when subjected to rotational forces and magnetic
field. The wave propagation analysis is articulated through a potential function, meeting the criteria of
an eighth-order partial differential equation, from which the wave equation’s explicit solution is deduced. Mechanical boundary conditions are defined for a stress-free lateral surface, complemented
by fluidic boundary conditions for stress-free fluidic surfaces. Fulfilling these boundary conditions
facilitates the derivation of a dispersion relation, subsequently resolved through numerical methods.
Frequency calculations for the poroelastic bone consider various rotational speeds, magnetic field and
porosity levels. This research offers insights that could enhance the theoretical framework for orthopedic studies related to the behavior of cylindrical poroelastic long bones. Furthermore, a comparative
analysis is conducted between the theoretical outcomes and the empirical data obtained from an innovative non-contact measurement device, thereby validating the theoretical model. This study formulate a novel governing equation for a poroelastic medium, highlighting the significance of radial vibrations and investigating the impact of magnetic field, rotation and initial stress. The numerical and graphical results underscore the significant influence of magnetic field, rotation, and initial stress on
the various wave velocity and attenuation coefficient. |
| Keywords |
Poroelasticity, Rotational dynamics, Wave transmission, Magnetic field, Porous structures |
| Received |
24 July 2024 | Revised |
07 September 2024 | Accepted |
12 September 2024 |
| Link to Fulltext |
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