 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
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| In English (Mech. Solids): | | 5124 |
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| Haoqing Ding, Yutao Hu, Changli Wang, Xin Zhang, and Bin Xu, "A Cut NURBS Element Method for the Isogeometric Analysis of Arbitrary Complex-Cutouts Laminate Reissner-Mindlin Plates," Mech. Solids. 60 (4), 2893-2914 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
2893-2914 |
| DOI |
10.1134/S002565442560120X |
| Title |
A Cut NURBS Element Method for the Isogeometric Analysis of Arbitrary Complex-Cutouts Laminate Reissner-Mindlin Plates |
| Author(s) |
Haoqing Ding (Northwest Institute of Nuclear Technology, Xi’an, 710024 China)
Yutao Hu (Northwest Institute of Nuclear Technology, Xi’an, 710024 China, huyutao@nint.ac.cn)
Changli Wang (Northwest Institute of Nuclear Technology, Xi’an, 710024 China)
Xin Zhang (Northwest Institute of Nuclear Technology, Xi’an, 710024 China)
Bin Xu (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, 710072 China) |
| Abstract |
The modeling of complex geometries with cutouts in NUBRS-based isogeometric analysis
usually needs a multiple-patches strategy. It is still an obstacle because of the requirement of very specialized knowledge of computer-aided design (CAD) to generate a NURBS mesh. In this paper, a cut
NURBS element method is proposed for the free vibration and buckling analysis of the complex-shaped laminate Reissner-Mindlin plate. Here, three major issues including the shearing locking, the
representation of the cut objects, and the localized eigenmodes must be addressed. Firstly, in order to
address these issues, an artificial shear correction factor is introduced to avoid shearing locking. Secondly, a level set approach on a structured NURBS mesh is used to produce the cut NURBS element
as well as describe the arbitrary and crisp interface between the cut objects and the initial simple geometry through the thresholding of the level set value. Then, a segmented density method is adopted to
represent the contribution of the solid, void, and cut NURBS elements. Finally, the different density
interpolation formulas for element stiffness, mass, and geometrical matrices are introduced to overcome localized eigenmodes. The numerical results show the proposed method can effectively avoid
the existence of shear locking and localized eigenmodes. By comparing with the results from other methods, the proposed method is proven to obtain highly accurate numerical results and effectively reduce computational cost. |
| Keywords |
Isogeometric analysis, Cut NURBS element, Level set, Density method, Localized eigen-modes |
| Received |
12 March 2025 | Revised |
26 April 2025 | Accepted |
26 May 2025 |
| Link to Fulltext |
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