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Structural Engineering and Mechanics Volume 73, Number 1, January10 2020 , pages 1-16 DOI: https://doi.org/10.12989/sem.2020.73.1.001 |
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New higher-order triangular shell finite elements based on the partition of unity |
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Hyungmin Jun
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| Abstract | ||
| Finite elements based on the partition of unity (PU) approximation have powerful capabilities for p-adaptivity and solutions with high smoothness without remeshing of the domain. Recently, the PU approximation was successfully applied to the three-node shell finite element, properly eliminating transverse shear locking and showing excellent convergence properties and solution accuracy. However, the enrichment with the PU approximation results in a significant increase in the number of degrees of freedom; therefore, it requires greater computational cost, thus making it less suitable for practical engineering. To circumvent this disadvantage, we propose a new strategy to decrease the total number of degrees of freedom in the existing PU-based shell element, without loss of optimal convergence and accuracy. To alleviate the locking phenomenon, we use the method of mixed interpolation of tensorial components and perform convergence studies to show the accuracy and capability of the proposed shell element. The excellent performances of the new shell elements are illustrated in three benchmark problems. | ||
| Key Words | ||
| partition of unity; shell finite element; three-node element; MITC method; convergence study; benchmark test | ||
| Address | ||
| 1Department of Mechanical System Engineering, Jeonbuk National University, 567 Baekje-daero, Deokjin-gu, Jeonju-si, Jeollabuk-do 54896, Republic of Korea 2Department of Biological Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA | ||