On a New Method of Quasi-static and Dynamic Analysis of Viscoelastic Plate on Elastic Foundation

Tekin G., Kadıoğlu F.

Turkish Journal of Civil Engineering, vol.34, no.6, pp.81-98, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 6
  • Publication Date: 2023
  • Doi Number: 10.18400/tjce.1268992
  • Journal Name: Turkish Journal of Civil Engineering
  • Journal Indexes: Scopus
  • Page Numbers: pp.81-98
  • Keywords: Dubner & Abate, Gâteaux differential, Laplace-Carson transform, plate-foundation interaction, Viscoelastic plate, wave-type loadings
  • Yıldız Technical University Affiliated: Yes


An alternative solution technique based on mixed finite element (MFE) formulation in the Laplace-Carson domain is proposed for quasi-static and dynamic analyses of viscoelastic plate (VEP) resting on an elastic foundation (EF). This work contributes a numerical solution to the problem of a viscoelastic Kirchhoff plate supported on a Winkler foundation. VEP-EF interaction problems are taken into account under different wave-type loadings. The viscoelastic material behavior of the plate is modeled by the Zener rheological solid model. A four-nodded linear isoparametric element with sixteen degrees of freedom is used to model the VEP. The functional developed in the Laplace-Carson domain based on the Gâteaux differential method is transformed to the real time domain by utilizing the Dubner and Abate (D&A) inverse Laplace transform technique (ILTT). To evaluate the applicability of the results, five numerical samples are considered. Further analyzes are performed on different wave type loadings to offer a new perspective on the time-dependent behavior of VEP on EF.