IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v435y2022ics0096300322004957.html
   My bibliography  Save this article

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

Author

Listed:
  • Saha, Shalini
  • Singh, Abhishek Kumar
  • Chattopadhyay, Amares

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.

Suggested Citation

  • Saha, Shalini & Singh, Abhishek Kumar & Chattopadhyay, Amares, 2022. "Rayleigh‐type wave propagation in exponentially graded initially stressed composite structure resting on rigid and yielding foundations," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    • Handle: RePEc:eee:apmaco:v:435:y:2022:i:c:s0096300322004957
    DOI: 10.1016/j.amc.2022.127421
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322004957
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2022.127421?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:435:y:2022:i:c:s0096300322004957. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.