 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 58, Issue 4 / 2023 | Next article >> |
| K. Singh and M. Kashyap, "Memory Effects on Rayleigh Waves Propagation in a Micropolar Thermoelastic Half Space," Mech. Solids. 58 (4), 1228-1238 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
4 |
Pages |
1228-1238 |
| DOI |
10.3103/S0025654423600228 |
| Title |
Memory Effects on Rayleigh Waves Propagation in a Micropolar Thermoelastic Half Space |
| Author(s) |
K. Singh (Department of Mathematics, Lovely Professional University, Phagwara, Punjab,144411 India, kulwinder.11033@lpu.co.in)
M. Kashyap (Department of Mathematics, Lovely Professional University, Phagwara, Punjab,144411 India) |
| Abstract |
The earthquake early warning systems use seismic sensors to detect the arrival of early waves on the surface of the earth. Rayleigh waves, also known as ground roll or surface waves, are a type of seismic wave that can be generated by earthquakes. In this paper the propagation of Rayleigh waves in a micropolar thermoelastic material with time delay under memory dependent derivative has been investigated. The memory dependent derivative in the heat conduction equation is characterized by different kernel functions on the slipping interval. The secular equation of Rayleigh waves is obtained analytically under stress free and thermally insulated/isothermal boundary conditions. In the particular case the secular equation obtained is in agreement with the earlier published results. Computations has been carried out to study the "effects of delay" parameter and kernel functions on the Rayleigh wave speed and depicted graphically. The graphical analysis shows that there are significant effects of the parameters of memory dependent derivatives on the Rayleigh wave speed in micropolar thermoelastic material. |
| Keywords |
memory dependent derivative, micropolar, thermoelastic, rayleigh wave, surface waves |
| Received |
19 February 2023 | Revised |
02 April 2023 | Accepted |
01 May 2023 |
| Link to Fulltext |
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