| Citation: | ZHAO Gang, DU Xiaoxiao, WANG Weiet al. Isogeometric analysis of Mindlin plate with local gap and overlapping feature[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(3): 432-440. doi: 10.13700/j.bh.1001-5965.2016.0221(in Chinese) |
In the frame of isogeometric analysis (IGA), non-uniform rational B-spline (NURBS) serves as both the description of geometries in computer aided design (CAD) and the shape function in finite element analysis (FEA). The common problems of gap and overlapping in NURBS models increase the difficulty of analysis. Based on Mindlin plate theory, the NURBS plate models with gap and overlapping were analyzed by IGA method. The Nitsche method was employed to solve non-conforming problem along models' interfaces. The simulation results of benchmark problem obtained by IGA method were compared with analytical solutions to verify the validity of the presented method. It is demonstrated that Nitsche based IGA method can be used to analyze non-conforming Mindlin plate models with local gap and overlapping feature. Higher NURBS polynomial degrees will produce more accurate IGA results and faster convergence.
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