Rayleigh‐type wave propagation in exponentially graded initially stressed composite structure resting on rigid and yielding foundations

Shalini Saha, Abhishek Kumar Singh and Amares Chattopadhyay

Applied Mathematics and Computation, 2022, vol. 435, issue C

Abstract: The present study focuses on analyzing the characteristics of Rayleigh-type wave propagating in a composite structure comprised of exponentially graded orthotropic-viscoelastic stratum in welded contact with exponentially graded viscoelastic dry-sandy stratum resting on rigid (Case I) and yielding (Case II) foundations. Each stratum is under the influence of initial stresses. Employing the analytical treatment, the complex form of frequency equation has been derived for the two cases. The real part of the frequency equation represents the phase velocity profile of dispersive nature, while the imaginary part signifies the attenuation profile of Rt− wave. As a particular case of the problem, the obtained frequency equation agrees with the classical results. The numerical data of Carbon-fiber and Prepreg for the upper stratum, whereas Sandstone and Limestone for the lower stratum are considered for numerical computation and graphical illustration of the obtained results. The influence of initial stresses, functional gradient, sandiness, and width ratio (of the two strata) on the propagation of Rt− wave is examined on velocity and attenuation profiles for both the cases. The comparative analysis revealing the impact of viscoelasticity on different types of foundations on Rt− wave propagation caters for the salient feature of the study.

Keywords: Rayleigh-type; Rigid foundation; Yielding foundation; Orthotropic-viscoelastic; Dry-sandy-viscoelastic; Attenuation (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:435:y:2022:i:c:s0096300322004957

DOI: 10.1016/j.amc.2022.127421

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