 | | 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: | | 13088 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8125
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| In English (Mech. Solids): | | 4963 |
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| H. Yuan, K. Bao, T. Bao, and W. Wang, "Statics, Free Vibration, and Buckling Analyses of Cracked Kirchhoff-Love Thin Plates Using Adaptive XIGA," Mech. Solids. 60 (1), 403-422 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
403-422 |
| DOI |
10.1134/S0025654424606281 |
| Title |
Statics, Free Vibration, and Buckling Analyses of Cracked Kirchhoff-Love Thin Plates Using Adaptive XIGA |
| Author(s) |
H. Yuan (Department of Engineering Mechanics, Hohai University, Nanjing, 211100 China)
K. Bao (School of Information Engineering and Artificial Intelligence, Lanzhou University of Finance and Economics, Lanzhou, 730020 China)
T. Bao (School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021 China)
W. Wang (Technology Research Institute, Beijing Urban Construction Design and Development Group Co., Limited, Beijing, 100037 China, baokangbo@163.com) |
| Abstract |
This paper develops an adaptive extended isogeometric analysis (XIGA) based on locally refined Non-Uniform Rational B-Splines (LR NURBS) for static, free vibration, and buckling analyses of cracked Kirchhoff-Love thin plates. The Kirchhoff-Love theory offers the advantage of requiring only deflection unknowns instead of rotation unknowns, thus reducing the number of degrees of freedom. By leveraging the high-order continuity properties of XIGA, this approach satisfies the C1-continuity required by the Kirchhoff-Love theory and addresses the third-order derivative problem encountered when calculating stress intensity factors (SIF) using the interaction integral method. By introducing enrichment functions, XIGA achieves mesh independence from crack configurations, thereby enhancing the efficiency of fracture problem computations. This method utilizes the local refinement capabilities of LR NURBS and implements Zienkiewicz and Zhu’s recovery technique to guide the generation of adaptive meshes within the computational domain. To validate the accuracy and effectiveness of the proposed method, several benchmark problems related to Kirchhoff-Love plates are presented. |
| Keywords |
Kirchhoff-Love plates, Extended isogeometric analysis, LR NURBS, Adaptivity, Stress intensity factor |
| Received |
08 November 2024 | Revised |
17 January 2025 | Accepted |
18 January 2025 |
| Link to Fulltext |
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