https://doi.org/10.1140/epjp/s13360-023-04551-8
Regular Article
The reflection of plane waves in a micropolar fiber-reinforced thermoelastic medium under impedance boundary condition
Department of Mathematics, Indian Institute of Technology Indore, 453552, Indore, Madhya Pradesh, India
Received:
11
June
2023
Accepted:
2
October
2023
Published online:
2
November
2023
This paper investigates the reflection of plane waves at the free surface of a micropolar fiber-reinforced medium using the three-phase lag thermoelasticity theory. An impedance type of boundary condition is being adapted at the free surface of the half-space. The harmonic mode analysis technique is applied to solve the coupled wave equations. Our investigation indicates the existence of a transverse wave and three coupled reflected waves at the free surface. The effects of rotation, stress, and micropolarity on the attenuation coefficient, phase velocity, and reflection ratio of all four reflected waves have been examined numerically using MATLAB. This paper is notable for observing some interesting phenomena, such as critical angles and critical frequencies for attenuation coefficients and reflection ratios, respectively. Also, some interesting results have been obtained by comparing our results to those obtained using the GN-III theory of thermoelasticity. Moreover, the paper provides an explicit form of energy ratios and depicts them graphically. It also justifies that the summation of energy ratio is unity in the selected range of angle of incidence.
Mathematics Subject Classification: 74A15 / 74F05 / 80A17 / 80A19
Key words: Thermoelasticity / Micropolar / TPL theory / Impedance boundary / Fiber-reinforced
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
