https://doi.org/10.1140/epjp/s13360-025-06086-6
Regular Article
SH wave in two-layered structure of functionally graded viscoelastic and monoclinic media under the influence of an interior point source
1
Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, 522302, Guntur, Andhra Pradesh, India
2
Department of Mathematics, Indian Institute of Technology Indore, Simrol, 453552, Indore, Madhya Pradesh, India
3
Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology (KIIT) Deemed to be University, 751024, Bhubaneswar, Odisha, India
4
MEMS Group, Department of Aerospace Engineering, Indian Institute of Science, Bengaluru, India
Received:
31
August
2024
Accepted:
3
February
2025
Published online:
2
March
2025
This paper investigates the propagation characteristics of SH-type waves originating from a point source situated at the interface of a unique structure comprising a functionally graded viscoelastic (FGV) layer of finite depth overlying a functionally graded monoclinic (FGM) half-space. The upper viscoelastic layer exhibits a hyperbolic gradient property in its material constants, while an exponential gradient property characterizes the lower monoclinic half-space. Employing the Fourier transform and Green’s function method to account for surface and interfacial boundary conditions, a dispersion relation for the SH-type waves is derived. The obtained dispersion relation for the gradient layered structures reveals a complex interplay between wave phenomena and material properties. Numerical analysis is performed to illustrate the theoretical results for various gradient parameter values, demonstrating a significant influence on dispersion curves, phase velocity, group velocity, and wave number. This understanding holds paramount importance for seismic imaging, geological resource exploration, and the design of resilient infrastructure, thereby fostering innovation in geophysics and engineering.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
