Thermal buckling adaptive multi-patch isogeometric analysis of arbitrary complex-shaped plates based on locally refined NURBS and Nitsche's method

被引:18
作者
He, Qiliang [1 ]
Yu, Tiantang [1 ,2 ]
Le Van Lich [3 ]
Bui, Tinh Quoc [4 ,5 ]
机构
[1] Hohai Univ, Dept Engn Mech, Nanjing 211100, Peoples R China
[2] Jiangsu Prov Wind Power Struct Engn Res Ctr, Nanjing 211100, Peoples R China
[3] Hanoi Univ Sci & Technol, Sch Mat Sci & Engn, 1,Dai Co Viet St, Hanoi, Vietnam
[4] Duy Tan Univ, Inst Res & Dev, Da Nang, Vietnam
[5] Tokyo Inst Technol, Dept Civil & Environm Engn, Meguro Ku, 2-12-1-W8-22,Ookayama, Tokyo 1528552, Japan
基金
中国国家自然科学基金;
关键词
Reissner-Mindlin plate; Thermal buckling; Isogeometric analysis; Locally refined NURBS; Multiple patches; Nitsche's method; Adaptivity; RECTANGULAR-PLATES; ELEMENT-METHOD; FREE-VIBRATION; FGM PLATES; FORMULATION; SHELLS;
D O I
10.1016/j.tws.2021.108383
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Plate structures suffering thermal environments are often encountered in practice. In this paper, thermal buckling behavior of complex-shaped plates by an adaptive multi-patch isogeometric analysis (IGA) based on locally refined NURBS and Nitsche's method is studied. Kinematic equations are derived using Reissner- Mindlin plate theory, while complex geometries of plates are represented with multiple patches, where the connection between two adjacent patches is constructed through Nitsche's method. To conduct adaptive local refinement, structural mesh refinement strategy is combined with a posterior error estimator, which is defined according to the recovered stresses of the first thermal buckling mode. Numerical examples of plates with simple and complex geometries are considered. The accuracy of critical buckling temperature rise obtained from this study is verified against reference solutions.
引用
收藏
页数:15
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