Analysis of orthotropic plate-foundation interaction by mixed finite element formulation using Gâteaux differential


Computers and Structures, vol.62, no.1, pp.93-106, 1997 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 62 Issue: 1
  • Publication Date: 1997
  • Doi Number: 10.1016/s0045-7949(96)00289-1
  • Journal Name: Computers and Structures
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.93-106
  • Istanbul Medipol University Affiliated: Yes


In mixed finite element formulation, the fundamental difference among the various approaches depend on the variational principles such as the Hellinger-Reissner, the Hu-Washizu and the Gâteaux differential which is introduced by Omurtag et al. [5-9] to the literature in the recent years. In this paper, a functional for interaction of orthotropic plate-foundation is obtained by using the Gâteaux differential and rectangular mixed finite elements PLTEOR4 and PLTEOR9 are formulated explicitly. Foundation is modeled as a Pasternak type which can be either isotropic or orthotropic and as a special case it converges to Winkler foundation if the shear layer is neglected. Using the mathematical advantages of the proposed variational method a functional with proper geometric and dynamic boundary conditions, introduced from the field equations of the plate and the foundation, is explicitly given. Copyright © 1996 Elsevier Science Ltd.