Radial Basis Function Based Finite Element Method for Bending, Vibration and Buckling Analysis of Laminated Composite Mindlin-Reissner Plates

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autoren

  • D. Nguyen Kien
  • Xuefeng Chen
  • Xiaoying Zhuang
  • Timon Rabczuk

Organisationseinheiten

Externe Organisationen

  • Tongji University
  • Bauhaus-Universität Weimar
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Titel des SammelwerksAdvances in Engineering Research and Application
UntertitelProceedings of the International Conference on Engineering Research and Applications, ICERA 2022
Herausgeber/-innenDuy Cuong Nguyen, Ngoc Pi Vu, Banh Tien Long, Horst Puta, Kai-Uwe Sattler
ErscheinungsortCham
Herausgeber (Verlag)Springer Science and Business Media Deutschland GmbH
Seiten806-822
Seitenumfang17
ISBN (elektronisch)978-3-031-22200-9
ISBN (Print)9783031221996
PublikationsstatusVeröffentlicht - 2023
Veranstaltung5th International Conference on Engineering Research and Applications, ICERA 2022 - Thai Nguyen, Vietnam
Dauer: 1 Dez. 20222 Dez. 2022

Publikationsreihe

NameLecture Notes in Networks and Systems
Band602 LNNS
ISSN (Print)2367-3370
ISSN (elektronisch)2367-3389

Abstract

The study introduces the formulation of the radial basis function-based finite element method (RBF-FEM) for bending, free vibration, and buckling analysis of Mindlin-Reissner laminated composite plates by first-order shear deformation theory. The method utilizes the radial basis functions to construct the shape functions from the finite nodes. Compared with the conventional finite element method (FEM), the present RBF-FEM obtains the shape functions with simplicity, especially when the number of element nodes is increasing. The proposed RBF-FEM eight-node element (RBF-FEM-8) is utilized. By applying the Gauss point reduction technique, the method could solve the thick and thin laminated composite plates with high accuracy, quick convergence, reducing mesh size in discretization, and could remove the shear locking phenomenon. Several numerical example studies of the thick and thin Mindlin-Reissner plates with the difference in geometries (including line and curve boundary edges), oriented layers, edge boundary conditions, Young’s modulus ratio, length-to-thickness ratio, are carried out. The results are then compared with other numerical methods and analytical solutions.

ASJC Scopus Sachgebiete

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Radial Basis Function Based Finite Element Method for Bending, Vibration and Buckling Analysis of Laminated Composite Mindlin-Reissner Plates. / Kien, D. Nguyen; Chen, Xuefeng; Zhuang, Xiaoying et al.
Advances in Engineering Research and Application: Proceedings of the International Conference on Engineering Research and Applications, ICERA 2022. Hrsg. / Duy Cuong Nguyen; Ngoc Pi Vu; Banh Tien Long; Horst Puta; Kai-Uwe Sattler. Cham: Springer Science and Business Media Deutschland GmbH, 2023. S. 806-822 (Lecture Notes in Networks and Systems; Band 602 LNNS).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Kien, DN, Chen, X, Zhuang, X & Rabczuk, T 2023, Radial Basis Function Based Finite Element Method for Bending, Vibration and Buckling Analysis of Laminated Composite Mindlin-Reissner Plates. in DC Nguyen, NP Vu, BT Long, H Puta & K-U Sattler (Hrsg.), Advances in Engineering Research and Application: Proceedings of the International Conference on Engineering Research and Applications, ICERA 2022. Lecture Notes in Networks and Systems, Bd. 602 LNNS, Springer Science and Business Media Deutschland GmbH, Cham, S. 806-822, 5th International Conference on Engineering Research and Applications, ICERA 2022, Thai Nguyen, Vietnam, 1 Dez. 2022. https://doi.org/10.1007/978-3-031-22200-9_85
Kien, D. N., Chen, X., Zhuang, X., & Rabczuk, T. (2023). Radial Basis Function Based Finite Element Method for Bending, Vibration and Buckling Analysis of Laminated Composite Mindlin-Reissner Plates. In D. C. Nguyen, N. P. Vu, B. T. Long, H. Puta, & K.-U. Sattler (Hrsg.), Advances in Engineering Research and Application: Proceedings of the International Conference on Engineering Research and Applications, ICERA 2022 (S. 806-822). (Lecture Notes in Networks and Systems; Band 602 LNNS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-22200-9_85
Kien DN, Chen X, Zhuang X, Rabczuk T. Radial Basis Function Based Finite Element Method for Bending, Vibration and Buckling Analysis of Laminated Composite Mindlin-Reissner Plates. in Nguyen DC, Vu NP, Long BT, Puta H, Sattler KU, Hrsg., Advances in Engineering Research and Application: Proceedings of the International Conference on Engineering Research and Applications, ICERA 2022. Cham: Springer Science and Business Media Deutschland GmbH. 2023. S. 806-822. (Lecture Notes in Networks and Systems). Epub 2022 Dez 2. doi: 10.1007/978-3-031-22200-9_85
Kien, D. Nguyen ; Chen, Xuefeng ; Zhuang, Xiaoying et al. / Radial Basis Function Based Finite Element Method for Bending, Vibration and Buckling Analysis of Laminated Composite Mindlin-Reissner Plates. Advances in Engineering Research and Application: Proceedings of the International Conference on Engineering Research and Applications, ICERA 2022. Hrsg. / Duy Cuong Nguyen ; Ngoc Pi Vu ; Banh Tien Long ; Horst Puta ; Kai-Uwe Sattler. Cham : Springer Science and Business Media Deutschland GmbH, 2023. S. 806-822 (Lecture Notes in Networks and Systems).
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abstract = "The study introduces the formulation of the radial basis function-based finite element method (RBF-FEM) for bending, free vibration, and buckling analysis of Mindlin-Reissner laminated composite plates by first-order shear deformation theory. The method utilizes the radial basis functions to construct the shape functions from the finite nodes. Compared with the conventional finite element method (FEM), the present RBF-FEM obtains the shape functions with simplicity, especially when the number of element nodes is increasing. The proposed RBF-FEM eight-node element (RBF-FEM-8) is utilized. By applying the Gauss point reduction technique, the method could solve the thick and thin laminated composite plates with high accuracy, quick convergence, reducing mesh size in discretization, and could remove the shear locking phenomenon. Several numerical example studies of the thick and thin Mindlin-Reissner plates with the difference in geometries (including line and curve boundary edges), oriented layers, edge boundary conditions, Young{\textquoteright}s modulus ratio, length-to-thickness ratio, are carried out. The results are then compared with other numerical methods and analytical solutions.",
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T1 - Radial Basis Function Based Finite Element Method for Bending, Vibration and Buckling Analysis of Laminated Composite Mindlin-Reissner Plates

AU - Kien, D. Nguyen

AU - Chen, Xuefeng

AU - Zhuang, Xiaoying

AU - Rabczuk, Timon

PY - 2023

Y1 - 2023

N2 - The study introduces the formulation of the radial basis function-based finite element method (RBF-FEM) for bending, free vibration, and buckling analysis of Mindlin-Reissner laminated composite plates by first-order shear deformation theory. The method utilizes the radial basis functions to construct the shape functions from the finite nodes. Compared with the conventional finite element method (FEM), the present RBF-FEM obtains the shape functions with simplicity, especially when the number of element nodes is increasing. The proposed RBF-FEM eight-node element (RBF-FEM-8) is utilized. By applying the Gauss point reduction technique, the method could solve the thick and thin laminated composite plates with high accuracy, quick convergence, reducing mesh size in discretization, and could remove the shear locking phenomenon. Several numerical example studies of the thick and thin Mindlin-Reissner plates with the difference in geometries (including line and curve boundary edges), oriented layers, edge boundary conditions, Young’s modulus ratio, length-to-thickness ratio, are carried out. The results are then compared with other numerical methods and analytical solutions.

AB - The study introduces the formulation of the radial basis function-based finite element method (RBF-FEM) for bending, free vibration, and buckling analysis of Mindlin-Reissner laminated composite plates by first-order shear deformation theory. The method utilizes the radial basis functions to construct the shape functions from the finite nodes. Compared with the conventional finite element method (FEM), the present RBF-FEM obtains the shape functions with simplicity, especially when the number of element nodes is increasing. The proposed RBF-FEM eight-node element (RBF-FEM-8) is utilized. By applying the Gauss point reduction technique, the method could solve the thick and thin laminated composite plates with high accuracy, quick convergence, reducing mesh size in discretization, and could remove the shear locking phenomenon. Several numerical example studies of the thick and thin Mindlin-Reissner plates with the difference in geometries (including line and curve boundary edges), oriented layers, edge boundary conditions, Young’s modulus ratio, length-to-thickness ratio, are carried out. The results are then compared with other numerical methods and analytical solutions.

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KW - Mindlin-Reissner plates

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