A consecutive‐interpolation polyhedral finite element method for solid structures
- Author
- Hau Nguyen Ngoc, Khanh Nguyen, Khuong Duy Nguyen, Hung Nguyen and Magd Abdel Wahab (UGent)
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- Project
- Abstract
- In this paper, we investigate the use of a consecutive-interpolation for polyhedral finite element method (CIPFEM) in the analysis of three-dimensional solid mechanics problems. A displacement-based Galerkin weak form is used, in which the nodal degrees of freedom (DOF) and their derivatives are both considered for the approximation scheme. Based on arbitrary star-convex polyhedral elements using piecewise linear shape function, the present method can have the advantage of being applicable to complicated structures. Nevertheless, the proposed interpolation technique gives higher-order continuity, greater accuracy with the same number of DOFs. The reliability and efficiency of the CIPFEM are proved by comparing the present results with those obtained by the consecutive-interpolation for tetrahedral element (CT4), conventional linear FEM using polyhedral elements (PFEM), and tetrahedral elements (T4) through numerical examples. Cantilever beam, concrete corbel, and complex hollow concrete revetment block are considered to show the excellent performance of the present approach.
- Keywords
- General Engineering, Applied Mathematics, Numerical Analysis, averaged derivatives, CIPFEM, consecutive-interpolation, polyhedral finite element method
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Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8716379
- MLA
- Nguyen Ngoc, Hau, et al. “A Consecutive‐interpolation Polyhedral Finite Element Method for Solid Structures.” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 122, no. 20, 2021, pp. 5692–717, doi:10.1002/nme.6769.
- APA
- Nguyen Ngoc, H., Nguyen, K., Nguyen, K. D., Nguyen, H., & Abdel Wahab, M. (2021). A consecutive‐interpolation polyhedral finite element method for solid structures. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 122(20), 5692–5717. https://doi.org/10.1002/nme.6769
- Chicago author-date
- Nguyen Ngoc, Hau, Khanh Nguyen, Khuong Duy Nguyen, Hung Nguyen, and Magd Abdel Wahab. 2021. “A Consecutive‐interpolation Polyhedral Finite Element Method for Solid Structures.” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 122 (20): 5692–5717. https://doi.org/10.1002/nme.6769.
- Chicago author-date (all authors)
- Nguyen Ngoc, Hau, Khanh Nguyen, Khuong Duy Nguyen, Hung Nguyen, and Magd Abdel Wahab. 2021. “A Consecutive‐interpolation Polyhedral Finite Element Method for Solid Structures.” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 122 (20): 5692–5717. doi:10.1002/nme.6769.
- Vancouver
- 1.Nguyen Ngoc H, Nguyen K, Nguyen KD, Nguyen H, Abdel Wahab M. A consecutive‐interpolation polyhedral finite element method for solid structures. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. 2021;122(20):5692–717.
- IEEE
- [1]H. Nguyen Ngoc, K. Nguyen, K. D. Nguyen, H. Nguyen, and M. Abdel Wahab, “A consecutive‐interpolation polyhedral finite element method for solid structures,” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 122, no. 20, pp. 5692–5717, 2021.
@article{8716379,
abstract = {{In this paper, we investigate the use of a consecutive-interpolation for polyhedral finite element method (CIPFEM) in the analysis of three-dimensional solid mechanics problems. A displacement-based Galerkin weak form is used, in which the nodal degrees of freedom (DOF) and their derivatives are both considered for the approximation scheme. Based on arbitrary star-convex polyhedral elements using piecewise linear shape function, the present method can have the advantage of being applicable to complicated structures. Nevertheless, the proposed interpolation technique gives higher-order continuity, greater accuracy with the same number of DOFs. The reliability and efficiency of the CIPFEM are proved by comparing the present results with those obtained by the consecutive-interpolation for tetrahedral element (CT4), conventional linear FEM using polyhedral elements (PFEM), and tetrahedral elements (T4) through numerical examples. Cantilever beam, concrete corbel, and complex hollow concrete revetment block are considered to show the excellent performance of the present approach.}},
author = {{Nguyen Ngoc, Hau and Nguyen, Khanh and Nguyen, Khuong Duy and Nguyen, Hung and Abdel Wahab, Magd}},
issn = {{0029-5981}},
journal = {{INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING}},
keywords = {{General Engineering,Applied Mathematics,Numerical Analysis,averaged derivatives,CIPFEM,consecutive-interpolation,polyhedral finite element method}},
language = {{eng}},
number = {{20}},
pages = {{5692--5717}},
title = {{A consecutive‐interpolation polyhedral finite element method for solid structures}},
url = {{http://doi.org/10.1002/nme.6769}},
volume = {{122}},
year = {{2021}},
}
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