A SIMPLE AND EFFICIENT TRIANGULAR FINITE-ELEMENT FOR PLATE-BENDING

Citation
Raf. Martins et J. Sabino, A SIMPLE AND EFFICIENT TRIANGULAR FINITE-ELEMENT FOR PLATE-BENDING, Engineering computations, 14(8), 1997, pp. 883
Citations number
4
Journal title
ISSN journal
02644401
Volume
14
Issue
8
Year of publication
1997
Database
ISI
SICI code
0264-4401(1997)14:8<883:ASAETF>2.0.ZU;2-T
Abstract
Presents the formulation of a new triangular finite element for plate bending. The element has 15 degrees of freedom: six displacements at t he corners and midside nodes and nine rotations normal to the element side, three along each element side. The element is based on the Kirch hoff theory for plate bending and the shape functions are derived from a complete quartic polynomial. Presents a numerical assessment of the element, showing that the element passes the patch test and that it p ossesses a good converge rate. The stiffness matrix is integrated exac tly.