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Optimal low-order fully integrated solid-shell elements

Khawaja Kamran Rah UGent, Wim Van Paepegem UGent, Anne-Marie Habraken, Joris Degrieck UGent, Ricardo J Alves de Sousa and Robertt AF Valente (2013) COMPUTATIONAL MECHANICS. 51(3). p.309-326
abstract
This paper presents three optimal low-order fully integrated geometrically nonlinear solid-shell elements based on the enhanced assumed strain (EAS) method and the assumed natural strain method for different types of structural analyses, e.g. analysis of thin homogeneous isotropic and multilayer anisotropic composite shell-like structures and the analysis of (near) incompressible materials. The proposed solid-shell elements possess eight nodes with only displacement degrees of freedom and a few internal EAS parameters. Due to the 3D geometric description of the proposed elements, 3D constitutive laws can directly be employed in these formulations. The present formulations are based on the well-known Fraeijs de Veubeke–Hu–Washizu multifield variational principle. In terms of accuracy as well as efficiency point of view, the choice of the optimal EAS parameters plays a very critical role in the EAS method, therefore a systematic numerical study has been carried out to find out the optimal EAS parameters to alleviate different locking phenomena for the proposed solid-shell formulations. To assess the accuracy of the proposed solid-shell elements, a variety of popular numerical benchmark examples related to element convergence, mesh distortions, element aspect ratios and different locking phenomena are investigated and the results are compared with the well-known solid-shell formulations available in the literature. The results of our numerical assessment show that the proposed solid-shell formulations provide very accurate results,without showing any numerical problems, for a variety of geometrically linear and nonlinear structural problems.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Shell-like structures, Multifield variational principle, Assumed natural strain method, Enhanced assumed strain method, :Solid-shell element, Locking, ONE-POINT QUADRATURE, NATURAL STRAIN FORMULATION, REDUCED INTEGRATION, NONLINEAR ANALYSES, FINITE-ELEMENTS, VARIATIONAL JUSTIFICATION, SYSTEMATIC DEVELOPMENT, MULTILAYER COMPOSITES, INCOMPATIBLE MODES, EAS
journal title
COMPUTATIONAL MECHANICS
Comput. Mech.
volume
51
issue
3
pages
309 - 326
Web of Science type
Article
Web of Science id
000314895600005
JCR category
MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
JCR impact factor
2.044 (2013)
JCR rank
13/95 (2013)
JCR quartile
1 (2013)
ISSN
0178-7675
DOI
10.1007/s00466-012-0726-6
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2971108
handle
http://hdl.handle.net/1854/LU-2971108
date created
2012-08-11 21:20:21
date last changed
2014-04-17 17:40:53
@article{2971108,
  abstract     = {This paper presents three optimal low-order fully integrated geometrically nonlinear solid-shell elements based on the enhanced assumed strain (EAS) method and the assumed natural strain method for different types of structural analyses, e.g. analysis of thin homogeneous isotropic and multilayer anisotropic composite shell-like structures and the analysis of (near) incompressible materials. The proposed solid-shell elements possess eight nodes with only displacement degrees of freedom and a few internal EAS parameters. Due to the 3D geometric description of the proposed elements, 3D constitutive laws can directly be employed in these formulations. The present formulations are based on the well-known Fraeijs de Veubeke--Hu--Washizu multifield variational principle. In terms of accuracy as well as efficiency point of view, the choice of the optimal EAS parameters plays a very critical role in the EAS method, therefore a systematic numerical study has been carried out to find out the optimal EAS parameters to alleviate different locking phenomena for the proposed solid-shell formulations. To assess the accuracy of the proposed solid-shell elements, a variety of popular numerical benchmark examples related to element convergence, mesh distortions, element aspect ratios and different locking phenomena are investigated and the results are compared with the well-known solid-shell formulations available in the literature. The results of our numerical assessment show that the proposed solid-shell formulations provide very accurate results,without showing any numerical problems, for a variety of geometrically linear and nonlinear structural problems.},
  author       = {Rah, Khawaja Kamran and Van Paepegem, Wim and Habraken, Anne-Marie and Degrieck, Joris and Alves de Sousa, Ricardo J and Valente, Robertt AF},
  issn         = {0178-7675},
  journal      = {COMPUTATIONAL MECHANICS},
  keyword      = {Shell-like structures,Multifield variational principle,Assumed natural strain method,Enhanced assumed strain method,:Solid-shell element,Locking,ONE-POINT QUADRATURE,NATURAL STRAIN FORMULATION,REDUCED INTEGRATION,NONLINEAR ANALYSES,FINITE-ELEMENTS,VARIATIONAL JUSTIFICATION,SYSTEMATIC DEVELOPMENT,MULTILAYER COMPOSITES,INCOMPATIBLE MODES,EAS},
  language     = {eng},
  number       = {3},
  pages        = {309--326},
  title        = {Optimal low-order fully integrated solid-shell elements},
  url          = {http://dx.doi.org/10.1007/s00466-012-0726-6},
  volume       = {51},
  year         = {2013},
}

Chicago
Rah, Khawaja Kamran, Wim Van Paepegem, Anne-Marie Habraken, Joris Degrieck, Ricardo J Alves de Sousa, and Robertt AF Valente. 2013. “Optimal Low-order Fully Integrated Solid-shell Elements.” Computational Mechanics 51 (3): 309–326.
APA
Rah, K. K., Van Paepegem, W., Habraken, A.-M., Degrieck, J., Alves de Sousa, R. J., & Valente, R. A. (2013). Optimal low-order fully integrated solid-shell elements. COMPUTATIONAL MECHANICS, 51(3), 309–326.
Vancouver
1.
Rah KK, Van Paepegem W, Habraken A-M, Degrieck J, Alves de Sousa RJ, Valente RA. Optimal low-order fully integrated solid-shell elements. COMPUTATIONAL MECHANICS. 2013;51(3):309–26.
MLA
Rah, Khawaja Kamran, Wim Van Paepegem, Anne-Marie Habraken, et al. “Optimal Low-order Fully Integrated Solid-shell Elements.” COMPUTATIONAL MECHANICS 51.3 (2013): 309–326. Print.