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


OZCELIKORS Y., Omurtag M. H. , DEMIR H.

COMPUTERS & STRUCTURES, vol.62, no.1, pp.93-106, 1997 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 62 Issue: 1
  • Publication Date: 1997
  • Doi Number: 10.1016/s0045-7949(96)00289-1
  • Title of Journal : COMPUTERS & STRUCTURES
  • Page Numbers: pp.93-106

Abstract

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 Gateaux 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 Gateaux 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 (C) 1996 Elsevier Science Ltd.