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Bézier triangular surface mesh generation and isogeometric plate and shell analysis
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Fei LUO1, 2, Yujie GUO2, Fangbin SUN2, Xing ZHANG1
Chinese Journal of Computational Mechanics | 2025, 42(5) : 825 - 830
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Chinese Journal of Computational Mechanics | 2025, 42(5): 825-830
• Research Papers •
Bézier triangular surface mesh generation and isogeometric plate and shell analysis
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Fei LUO1, 2, Yujie GUO2, Fangbin SUN2, Xing ZHANG1
Affiliations
  • 1.Key Laboratory of Strength and Structural Integrity, China Aircraft Strength Research Institute, Xi'an 710065, China
  • 2.National Defense Key Discipline Laboratory of Advanced Design Technology of Aircraft, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Published: 2025-10-28 doi: 10.7511/jslx20231118001
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This paper presents a Bezier triangle meshing method that considers both clipped and non-clipped forms for a single NURBS surface. The proposed method is applied to analyze isogeometric Kirchhoff-Love shell structures. The process begins by interpolating NURBS surfaces into Bezier surfaces. Subsequently, the topological relationship between the clipping curve and each parameter node is calculated within the parameter domain. A Bezier contour curve set is then generated in the parameter domain by selecting points along the clipping curve. Utilizing this contour curve set, a triangular mesh is generated in the parameter domain. Finally, the Bezier triangle mesh in the physical domain is created through a mapping method. The adaptability and robustness of the algorithm are verified through three models, and the mesh quality is assessed. The results demonstrate favorable overall mesh quality. Building upon this foundation, the paper illustrates the application of a rotation constraint between Kirchhoff-Love shell elements, using the penalty function method with Scordelis-Lo's Roof shell model as an example. The accuracy of Kirchhoff-Love shell elements based on Bezier triangles is subsequently validated.

isogeometric analysis  /  Bézier triangular mesh  /  Bézier surface mapping  /  Curves trim  /  Kirchhoff-love shell
Fei LUO, Yujie GUO, Fangbin SUN, Xing ZHANG. Bézier triangular surface mesh generation and isogeometric plate and shell analysis[J]. Chinese Journal of Computational Mechanics, 2025 , 42 (5) : 825 -830 . DOI: 10.7511/jslx20231118001
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Article Info
doi: 10.7511/jslx20231118001
  • Receive Date：2023-11-18
  • Online Date：2026-03-24
  • Published：2025-10-28
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History
  • Received：2023-11-18
  • Revised：2024-02-07
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Affiliations
    1.Key Laboratory of Strength and Structural Integrity, China Aircraft Strength Research Institute, Xi'an 710065, China
    2.National Defense Key Discipline Laboratory of Advanced Design Technology of Aircraft, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
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