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IssuesArchive of Issues2023-4pp.1228-1238

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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 2023Revised 02 April 2023Accepted 01 May 2023
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