Improved numerical integration for locking treatment in isogeometric structural elements, Part I: Beams

被引：56
作者：
Adam, C. [1 ,3 ]
Bouabdallah, S. [2 ]
Zarroug, M. [3 ]
Maitournam, H. [1 ]
机构：
[1] Ecole Polytech, CNRS, UMR 7649, Mecan Solides Lab, 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
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2014年 / 279卷
关键词：
Isogeometric analysis; B-splines/NURBS; Numerical locking; Selective reduced integration; Timoshenko beam; FLUID-STRUCTURE INTERACTION; FINITE-ELEMENT; SHEAR-LOCKING; NURBS; REFINEMENT; DESIGN; CAD;
D O I：
10.1016/j.cma.2014.06.023
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A general mathematical framework is proposed, in this paper, to define new quadrature rules in the context of B-spline/NURBS-based isogeometric analysis. High order continuity across the elements within a patch turned out to have higher accuracy than C-0 finite elements, as well as a better time efficiency. Unfortunately, a maximum regularity accentuates the shear and membrane locking in thick structural elements. The improved selective reduced integration schemes are given for uni-dimensional beam problems, with basis functions of order two and three, and can be easily extended to higher orders. The resulting B-spline/NURBS finite elements are free from membrane and transverse shear locking. Moreover, no zero energy modes are generated. The performance of the approach is evaluated on the classical test of a cantilever beam subjected to a distributed moment, and compared to Lagrange under-integrated finite elements. (C) 2014 Elsevier B.V. All rights reserved.
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页码：1 / 28
页数：28
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