https://doi.org/10.1140/epjp/s13360-024-05554-9
Regular Article
Nonlocal analysis of Rayleigh-type wave propagating in a gradient layered structure with distinct interfacial imperfections
1
Department of Mathematics, KLEF Deemed to be University, 522302, Vijayawada, Andhra Pradesh, India
2
Department of Mathematics, School of Applied Sciences, KIIT, Deemed to be University, 751024, Bhubaneswar, India
3
Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, 522503, Amaravati, Andhra Pradesh, India
4
Department of Aerospace Engineering, IISC Bangalore, 560012, Bangalore, India
Received:
5
May
2024
Accepted:
6
August
2024
Published online:
27
August
2024
The present work explores the propagation of Rayleigh-type waves in a gradient transversely isotropic stratum that is imperfectly bonded to a gradient monoclinic substrate, within the framework of the nonlocal theory of elasticity. To study the impact of imperfect interfaces, nontraditional boundary conditions for different types of imperfect interfaces are taken into account. A constitutive model for the nonlocal functionally gradient layered structure is developed, and the governing equations are solved under appropriate boundary and interface conditions. A closed form of the complex-valued frequency equation is established analytically for distinct interfacial conditions. The dispersion and damping equations are determined numerically and plotted graphically to unravel the effect of various parameters, including the gradient parameter, nonlocal parameter, and stiffness parameters, on the propagation and attenuation of Rayleigh-type waves. Moreover, a comparative analysis is undertaken to examine the influence of these parameters in detail, highlighting the relevance of the present study across diverse domains. For validation purposes, the expressions derived from the present study are matched with classical results. The insights gained here provide a foundation for future investigations and open up further exploration in vibration and control scenarios under varied loading conditions, considering defects such as fractures and cracks.
Nirakara Pradhan and Shalini Saha have contributed equally to this work.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
