Fundamental solution and boundary element analysis of thick plates on Winkler foundation

K. Al-Hosani, S. Fadhil, A. El-Zafrany

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)


This paper introduces for the first time a full derivation of a fundamental solution and boundary integral equations for thick Reissner plates resting on a Winkler elastic foundation, where the effect of transverse normal stresses resulting from the foundation reaction on the plate surface has been considered. The fundamental solution is derived by means of Fourier and Hankel integral transforms in terms of complex Bessel functions. Reduction of domain integral loading terms is provided for cases with uniformly distributed loadings, and concentrated shear forces. Case studies, with known analytical solutions, were analyzed using the developed theory, and it has been shown that the given formulations provide a very accurate solution for a wide range of plate thickness.

Original languageEnglish
Pages (from-to)325-336
Number of pages12
JournalComputers and Structures
Issue number3
Publication statusPublished - Feb 1999


  • Boundary element
  • Boundary integral equation
  • Foundation
  • Reissner plates
  • Soil

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modelling and Simulation
  • General Materials Science
  • Mechanical Engineering
  • Computer Science Applications


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