A continuum based three-dimensional shell element for laminated structures
A continuum based three-dimensional shell element for laminated structures
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DOI：
10.1016/s0045-7949(98)00222-3
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发表时间：
1999-03
影响因子：
4.7
通讯作者：
Sven Klinkel-;F. Gruttmann;W. Wagner
中科院分区：
文献类型：
--
作者：
Sven Klinkel-;F. Gruttmann;W. Wagner
本文推导了一种用于层合壳结构非线性分析的三维连续体壳单元。本有限元公式的基础是标准的八节点砖形函数的三线性功能。特别是对于薄结构，在某些载荷情况下，基于位移的单元刚度太大，容易锁定。因此，我们使用假设自然应变和增强假设应变的方法来改善相对较差的单元性能。分层壳的各向异性材料的行为建模使用线弹性正交各向异性材料法在每一层。线性和非线性算例表明了单元列式的适用性和有效性。
In this paper a continuum based three-dimensional shell element for the nonlinear analysis of laminated shell structures is derived. The basis of the present finite element formulation is the standard eight-node brick element with tri-linear shape functions. Especially for thin structures under certain loading cases, the displacement based element is too stiff and tends to lock. Therefore we use assumed natural strain and enhanced assumed strain methods to improve the relatively poor element behaviour. The anisotropic material behaviour of layered shells is modeled using a linear elastic orthotropic material law in each layer. Linear and nonlinear examples show the applicability and effectivity of the element formulation.