Improved numerical integration for locking treatment in isogeometric structural elements. Part II: Plates and shells

被引:84
作者
Adam, C. [1 ,3 ]
Bouabdallah, S. [2 ]
Zarroug, M. [3 ]
Maitournam, H. [1 ]
机构
[1] Ecole Polytech, CNRS, Mecan Solides Lab, UMR 7649, F-91128 Palaiseau, France
[2] Ecole Super Ingn Leonard de Vinci, Dept Mecan Numer & Modelisat, F-92400 Courbevoie, France
[3] PSA Peugeot Citroen, Direct Sci & Technol Futures, F-78140 Velizy Villacoublay, France
关键词
Isogeometric analysis; B-splines/NURBS; Numerical locking; Selective/reduced integration; Reissner-Mindlin shells; FINITE-ELEMENT; SHEAR-LOCKING; NURBS; COLLOCATION; MEMBRANE; FORMULATION; ACCURACY;
D O I
10.1016/j.cma.2014.07.020
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
B-spline reduced quadrature rules are proposed in the context of isogeometric analysis. When performing a full Gaussian integration, the high regularity provided by spline basis functions strengthens the locking phenomena and deteriorates the performance of Reissner-Mindlin elements. The uni-dimensional B-spline-based quadrature rules, given in a previous paper (part I), are extended to multi-dimensional problems such as plates and shells. The improved reduced integration schemes are constructed using a tensor product of the uni-dimensional schemes. A single numerical quadrature is performed for bending, transverse shear and membrane terms, without introducing Hourglass modes. The proposed isogeometric reduced elements are free from membrane and transverse shear locking. Convergence is first assessed in plate problems with several aspect ratios and then in the shell obstacle course problems. The resulting under-integrated elements exhibit better accuracy and computational efficiency. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:106 / 137
页数:32
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