Header

UZH-Logo

Maintenance Infos

Orthotropic rotation-free thin shell elements


Munglani, Gautam; Vetter, Roman; Wittel, Falk K; Herrmann, Hans J (2015). Orthotropic rotation-free thin shell elements. Computational Mechanics, 56(5):785-793.

Abstract

A method to simulate orthotropic behaviour in thin shell finite elements is proposed. The approach is based on the transformation of shape function derivatives, resulting in a new orthogonal basis aligned to a specified preferred direction for all elements. This transformation is carried out solely in the undeformed state leaving minimal additional impact on the computational effort expended to simulate orthotropic materials compared to isotropic, resulting in a straightforward and highly efficient implementation. This method is implemented for rotation-free triangular shells using the finite element framework built on the Kirchhoff–Love theory employing subdivision surfaces. The accuracy of this approach is demonstrated using the deformation of a pinched hemispherical shell (with a 18∘ hole) standard benchmark. To showcase the efficiency of this implementation, the wrinkling of orthotropic sheets under shear displacement is analyzed. It is found that orthotropic subdivision shells are able to capture the wrinkling behavior of sheets accurately for coarse meshes without the use of an additional wrinkling model.

Abstract

A method to simulate orthotropic behaviour in thin shell finite elements is proposed. The approach is based on the transformation of shape function derivatives, resulting in a new orthogonal basis aligned to a specified preferred direction for all elements. This transformation is carried out solely in the undeformed state leaving minimal additional impact on the computational effort expended to simulate orthotropic materials compared to isotropic, resulting in a straightforward and highly efficient implementation. This method is implemented for rotation-free triangular shells using the finite element framework built on the Kirchhoff–Love theory employing subdivision surfaces. The accuracy of this approach is demonstrated using the deformation of a pinched hemispherical shell (with a 18∘ hole) standard benchmark. To showcase the efficiency of this implementation, the wrinkling of orthotropic sheets under shear displacement is analyzed. It is found that orthotropic subdivision shells are able to capture the wrinkling behavior of sheets accurately for coarse meshes without the use of an additional wrinkling model.

Statistics

Citations

Dimensions.ai Metrics
4 citations in Web of Science®
4 citations in Scopus®
1 citation in Microsoft Academic
Google Scholar™

Altmetrics

Downloads

53 downloads since deposited on 03 May 2016
17 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:Special Collections > SystemsX.ch
Special Collections > SystemsX.ch > Research, Technology and Development Projects > MecanX
Special Collections > SystemsX.ch > Research, Technology and Development Projects
Dewey Decimal Classification:570 Life sciences; biology
Scopus Subject Areas:Physical Sciences > Computational Mechanics
Physical Sciences > Ocean Engineering
Physical Sciences > Mechanical Engineering
Physical Sciences > Computational Theory and Mathematics
Physical Sciences > Computational Mathematics
Physical Sciences > Applied Mathematics
Uncontrolled Keywords:Finite elements, Rotation-free shells, Orthotropic materials, Subdivision surfaces, Wrinkling
Language:English
Date:2015
Deposited On:03 May 2016 15:01
Last Modified:30 Jul 2020 21:53
Publisher:Springer
ISSN:0178-7675
OA Status:Green
Publisher DOI:https://doi.org/10.1007/s00466-015-1202-x

Download

Green Open Access

Download PDF  'Orthotropic rotation-free thin shell elements'.
Preview
Content: Accepted Version
Language: English
Filetype: PDF
Size: 1MB
View at publisher