Hybrid-mixed shell quadrilateral that allows for large solution steps and is low-sensitive to mesh distortion

We compare three nearly optimal quadrilateral finite elements for geometrically exact inextensible-director shell model. Two of them are revisited and one is novel. The assumed natural strain (ANS) element of Ko et al. (Comput Struct 185:1–14, 2017) shows low sensitivity to mesh distortion and excel...

Full description

Saved in:
Bibliographic Details
Published in:Computational mechanics 2020, Vol.65 (1), p.177-192
Main Authors: Lavrenčič, Marko, Brank, Boštjan
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Computational Science and Engineering
Distortion
Engineering
Finite element method
Formulations
Mathematical analysis
Original Paper
Quadrilaterals
Theoretical and Applied Mechanics
True strain
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We compare three nearly optimal quadrilateral finite elements for geometrically exact inextensible-director shell model. Two of them are revisited and one is novel. The assumed natural strain (ANS) element of Ko et al. (Comput Struct 185:1–14, 2017) shows low sensitivity to mesh distortion and excellent convergence behavior for most types of shell problems. The Hu–Washizu element with ANS shear strains of Wagner and Gruttmann (Int J Numer Methods Eng, 64:635–666, 2005) allows for large solution steps and is computationally fast. However, both formulations have undesirable weak spots, which we clearly identify by a comprehensive set of numerical examples. We show that a straightforward combination of both formulations results in a novel element that synergizes the positive features and eliminates the weak spots of its predecessors.
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-019-01759-3