In this investigation, a bi-linear shear deformable shell element is developed using the absolute nodal coordinate formulation for the large deformation analysis of multibody shell structures. The element consists of four nodes, each of which has the global position coordinates and the gradient coordinates along the thickness introduced for describing the orientation and deformation of the cross section of the shell element. The global position field on the mid-plane and the position vector gradient at a material point in the element are interpolated by bi-linear polynomials. The continuum mechanics approach is used to formulate the generalized elastic forces, allowing for the consideration of nonlinear constitutive models in a straightforward manner. The element locking exhibited in this type of element can be eliminated using the assumed natural strain (ANS) and enhanced assumed strain (EAS) approaches. In particular, the combined ANS and EAS approach is introduced to alleviate the thickness locking arising from the erroneous transverse normal strain distribution. Several numerical examples are presented in order to demonstrate the accuracy and the rate of convergence of numerical solutions obtained by the bi-linear shear deformable ANCF shell element proposed in this investigation.
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ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 17–20, 2014
Buffalo, New York, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-4639-1
PROCEEDINGS PAPER
Bi-Linear Shear Deformable ANCF Shell Element Using Continuum Mechanics Approach
Hiroki Yamashita,
Hiroki Yamashita
The University of Iowa, Iowa City, IA
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Antti I. Valkeapää,
Antti I. Valkeapää
Lappeenranta University of Technology, Lappeenranta, Finland
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Paramsothy Jayakumar,
Paramsothy Jayakumar
US Army RDECOM TARDEC, Warren, MI
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Hiroyuki Sugiyama
Hiroyuki Sugiyama
The University of Iowa, Iowa City, IA
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Hiroki Yamashita
The University of Iowa, Iowa City, IA
Antti I. Valkeapää
Lappeenranta University of Technology, Lappeenranta, Finland
Paramsothy Jayakumar
US Army RDECOM TARDEC, Warren, MI
Hiroyuki Sugiyama
The University of Iowa, Iowa City, IA
Paper No:
DETC2014-35349, V006T10A040; 8 pages
Published Online:
January 13, 2015
Citation
Yamashita, H, Valkeapää, AI, Jayakumar, P, & Sugiyama, H. "Bi-Linear Shear Deformable ANCF Shell Element Using Continuum Mechanics Approach." Proceedings of the ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 6: 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Buffalo, New York, USA. August 17–20, 2014. V006T10A040. ASME. https://doi.org/10.1115/DETC2014-35349
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