The application of geometrically exact shell elements to B-spline surfaces
The application of geometrically exact shell elements to B-spline surfaces
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DOI：
10.1016/j.cma.2004.01.019
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发表时间：
2004-06
影响因子：
7.2
通讯作者：
H. Roh;M. Cho
中科院分区：
文献类型：
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作者：
H. Roh;M. Cho
在本研究中，我们提出了一个框架，直接链接到一般张量为基础的几何精确壳有限元B样条曲面几何造型。在B样条曲面表示中，采用了基于部分混合Hellinger-Reissner变分泛函的4节点和9节点假定应变单元以及4节点假定自然应变（ANS）单元。在基函数中加入气泡函数，以提高所开发单元的性能。采用双三次矩形B样条张量曲面片生成参数化壳体曲面的一般形式。通过使用B样条函数，目前基于张量的通用壳单元可以处理自由曲面的任意几何形状。数值结果在静态和动态示例中验证了计算机辅助几何设计（CAGD）表面建模与有限元壳分析之间的有效链接概念。
In the present study, we propose a framework that directly links a general tensor-based geometrically exact shell finite element to B-spline surface geometric modeling. Four-node and 9-node assumed strain elements based on the partial mixed Hellinger–Reissner variational functional and a 4-node assumed natural strain (ANS) element are implemented in B-spline surface representation. Bubble functions are included in the basis functions to improve the performance of the developed elements. The bi-cubic rectangular B-spline tensor patch is employed to generate the general form of parameterized shell surfaces. By using the B-spline function, the present general tensor-based shell elements can handle the arbitrary geometry of the free-form surfaces. Numerical results demonstrate the efficient linkage concept between surface modeling of computer aided geometric design (CAGD) and finite element shell analysis in static and dynamic examples.