Isogeometric shell analysis with Kirchhoff-Love elements
Isogeometric shell analysis with Kirchhoff-Love elements
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DOI：
10.1016/j.cma.2009.08.013
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发表时间：
2009-01-01
影响因子：
7.2
通讯作者：
Wuechner, R.
中科院分区：
文献类型：
--
作者：
Kiendl, J.;Bletzinger, K-U.;Wuechner, R.
Kirchhoff-Love壳单元是基于等几何方法[16]开发的。非均匀有理B样条函数作为分析的基函数已被证明是非常有效的，并提供了精确的几何表示的伟大功能。对于Kirchhoff-Love壳单元，它们还具有显著的优点，即单元之间的必要连续性很容易实现。该单元是几何非线性的。它仅由位移自由度离散化。与旋转自由度相关的方面也由位移控制变量处理。利用基于NURBS的CAD程序对壳体结构进行了建模，并对同一模型进行了等几何分析。不同的例子表明，该方法的性能和它的适用性，为一体化的设计和分析。(C)2009爱思唯尔有限公司版权所有。
A Kirchhoff-Love shell element is developed on the basis of the isogeometric approach [16]. NURBS as basis functions for analysis have proven to be very efficient and offer the great feature of exact geometric representation. For a Kirchhoff-Love shell element they additionally have the significant advantage that the necessary continuities between elements are easily achieved. The element is formulated geometrically nonlinear. It is discretized by displacement degrees of freedom only. Aspects related to rotational degrees of freedom are handled by the displacement control variables, too. A NURBS-based CAD program is used to model shell structures built up from NURBS and isogeometric analysis is performed on the same model without meshing. Different examples show the performance of this method and its applicability for the integration of design and analysis. (C) 2009 Elsevier B.V. All rights reserved.