 | | 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: | | 13653 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8223
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| In English (Mech. Solids): | | 5430 |
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| P. Vikas Singh, E. Rama, Rajneesh Kumar, and P. Sandhya Rani, "Wave Analysis at the Impendence Boundary of Bio-Thermoelastic Diffusion under MGT Heat Equation," Mech. Solids. 60 (8), 6756-6773 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
6756-6773 |
| DOI |
10.1134/S002565442560374X |
| Title |
Wave Analysis at the Impendence Boundary of Bio-Thermoelastic Diffusion under MGT Heat Equation |
| Author(s) |
P. Vikas Singh (Department of Mathematics, Osmania University, Hyderabad, 500007 India, pulsinghvikas@gmail.com)
E. Rama (Department of Mathematics, Osmania University, Hyderabad, 500007 India)
Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, 136119 India)
P. Sandhya Rani (Department of Mathematics, Osmania University, Hyderabad, 500007 India) |
| Abstract |
This study examines the reflection behaviour of plane waves both longitudinal and transverse at an impedance boundary within a bio-thermoelastic diffusion half-space governed by the
Moore-Gibson-Thompson (MGT) heat conduction model. The formulation is carried out in two
dimensions using dimensionless parameters and potential functions for simplification. Analytical
treatment reveals the existence of four types of longitudinal waves and one transverse wave, each propagating at distinct velocities. Amplitude ratios for longitudinal (P), thermal (T), chemical potential
(Po), and shear vertical (SV) waves are derived and analyzed as functions of incident angle, frequency,
and various medium parameters. The influence of impedance conditions and blood perfusion rate on
reflection coefficients is illustrated graphically. Several special cases are also discussed. The findings
have significant implications in biomedical engineering, geophysical exploration, and seismic wave analysis. |
| Keywords |
Bio-Thermoelastcity, Diffusion, MGT heat equation, Amplitude ratios |
| Received |
09 July 2025 | Revised |
04 September 2025 | Accepted |
05 October 2025 |
| Link to Fulltext |
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