Title
Orthotropic rotation-free thin shell elements
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 $$18^{\\circ }$$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.
Year
DOI
Venue
2015
10.1007/s00466-015-1202-x
Computational Mechanics
Keywords
Field
DocType
Finite elements,Rotation-free shells,Orthotropic materials,Subdivision surfaces,Wrinkling
Isotropy,Polygon mesh,Orthotropic material,Mathematical analysis,Orthogonal basis,Finite element method,Subdivision surface,Subdivision,Deformation (mechanics),Mathematics
Journal
Volume
Issue
ISSN
abs/1508.00347
5
Comput. Mech. 56, 785-793 (2015)
Citations 
PageRank 
References 
0
0.34
1
Authors
4
Name
Order
Citations
PageRank
gautam munglani100.34
Roman Vetter221.32
Falk K. Wittel321.32
Hans J. Herrmann418617.58