A sectorial element based on Reissner plate theory


AKOZ A., Eratli N.

STRUCTURAL ENGINEERING AND MECHANICS, vol.9, no.6, pp.519-540, 2000 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 6
  • Publication Date: 2000
  • Doi Number: 10.12989/sem.2000.9.6.519
  • Title of Journal : STRUCTURAL ENGINEERING AND MECHANICS
  • Page Numbers: pp.519-540

Abstract

In this study, a new functional based on the Reissner theory, for thick plates on a Winkler foundation is obtained. This functional has geometric and dynamic boundary conditions. In deriving the new functional, the Gateaux differential is used. This functional which is in polar coordinates is also transformable into the classical potential energy equation. Bending and torsional moments, transverse shear forces, rotations and displacements are the basic unknowns of the functional. Two different sectorial elements are developed with 3x8 degrees of freedom (SEC24) and 4x8 degrees of freedom (SEC32). The accuracy of the SEC24 and SEC32 elements together are verified by applying the method to some problems taken from literature.