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논문 기본 정보
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- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.73 No.1
- 발행연도
- 2020.1
- 수록면
- 1 - 16 (16page)
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초록· 키워드
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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.
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참고문헌 (37)
참고문헌 신청
Babuška, I. / 1997 / The partition of unity method / Int. J. Numer. Methods Eng. 40:727~758
Bathe, K. J. / 2016 / Finite Element Procedures / Higher Education Press
Bathe, K. J. / 1986 / A formulation of general shell elements-the use of mixed interpolation of tensorial components / Int. J. Numer. Methods Eng 22:697~722
Bathe, K. J. / 2000 / An inf-sup test for shell finite elements / Comput. Struct 75:439~456
Bathe, K. J. / 2003 / Towards improving the MITC9 shell element / Comput. Struct 81:477~489
Bathe, K. J. / 2016 / Finite Element Procedures / Higher Education Press
Bathe, K. J. / 1986 / A formulation of general shell elements-the use of mixed interpolation of tensorial components / Int. J. Numer. Methods Eng 22:697~722
Bathe, K. J. / 2000 / An inf-sup test for shell finite elements / Comput. Struct 75:439~456
Bathe, K. J. / 2003 / Towards improving the MITC9 shell element / Comput. Struct 81:477~489
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