https://doi.org/10.1140/epjp/s13360-023-04584-z
Regular Article
Propagation of localized waves in a transversely isotropic thermoelastic layer of arbitrary thickness
1
Department of Mathematics, Indian Institute of Engineering Science and Technology, 711103, Shibpur, Howrah, India
2
Department of Mathematics, Dinabandhu Andrews College, 700084, Kolkata, India
Received:
15
April
2023
Accepted:
9
October
2023
Published online:
15
November
2023
Characteristics of localized wave and consequent theoretical models can be very precious in various applications in earthquake engineering, seismology, geophysics etc. The present paper deals with the localized wave (leaky Rayleigh waves) propagation through a transversely isotropic thermoelastic half-space overlaid by an anisotropic elastic layer of arbitrary thickness. The Lord–Shulman theory of generalized thermoelastic model is adopted for the analysis of thermal wave propagation into the medium. Helmholtz decomposition technique is considered and it is presumed that the layer and half-space are bonded perfectly to each other. A discretised form of numerical computations are performed to analyze nature of the various field functions of the wave.
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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.