Naslov
Distortion-immune 9-node Quadrilateral Thick Plate Finite Elements that Satisfy Constant-Bending Patch Test

Autori
Ribarić, Dragan ; Jelenić, Gordan

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
39th Solid Mechanics Conference, Book of Abstracts / - Varšava : Zakopane : Institute of Fundamental Technological Research PAN Warszawa, 2014, 241-242

ISBN
978-83-89687-89-0

Skup
39th Solid Mechanics Conference, Institute of Fundamental Technological Research, Polish Academy of Science

Mjesto i datum
Zakopane, Poljska, 01.09.2014. - 05.09.2014

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Mindlin theory of plates ; finite element method ; linked interpolation ; mesh distortion

Sažetak
We employ the linked interpolation concept to develop two higher-order 9-node quadrilateral plate finite elements with curved sides that pass the constant bending patch test for arbitrary node positions. The linked interpolation for the plate displacements is expanded to get polynomial completeness necessary to satisfy the patch test. The resulting plate element (proposed element Q9-L2) involves all twenty-five monomials of the bi-quartic parametric polynomial for the displacement interpolation and full bi-quadratic interpolation with nine monomials for rotations in both directions necessitating as many as sixteen additional degrees of freedom more than the pure Lagrangean 9-node element (Q9). However, taking advantage of the linked interpolation concept, the number of associated parameters is reduced by as many as twelve degrees of freedom, leaving the distortion-immune element with thirty-one degrees of freedom (of which four are internal).

Izvorni jezik
Engleski

Znanstvena područja
Temeljne tehničke znanosti

POVEZANOST RADA