A nonlinear Hu-Washizu variational formulation for shells and associated quadrilateral finite element

机译：壳体和相关四边形有限元的非线性Hu-Washizu变分公式

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In the paper a nonlinear quadrilateral shell element for the analysis of thin structures is presented. The variational formulation is based on a Hu-Washizu functional with independent displacement, stress and strain fields. The interpolation matrices for the mid-surface displacements and rotations as well as for the stress resultants and strains are specified. The developed mixed hybrid shell element possesses the correct rank and fulfills the in-plane and bending patch tests. Hence, the approximated stationary condition is iteratively solved using the Newton method. The essential feature of the new element is the robustness in the equilibrium iterations. It allows one to apply very large load steps in comparison to other finite element formulations.

机译：本文提出了一种用于分析薄结构的非线性四边形壳单元。变分公式基于具有独立位移，应力和应变场的Hu-Washizu泛函。指定了中表面位移和旋转以及应力合力和应变的插值矩阵。研制的混合混合壳单元具有正确的等级，并能完成平面内和弯曲补丁测试。因此，使用牛顿法迭代求解近似的稳态条件。新元素的本质特征是平衡迭代中的鲁棒性。与其他有限元公式相比，它允许施加非常大的载荷阶跃。

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来源
《SSTA(Shell Structures: Theory and Applications) Conference; 20051012-14; Jurata(PL)》|2005年|P.511-514|共4页
会议地点 Jurata(PL)
作者
W. Wagner; F. Gruttmann;
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Institut fuer Baustatik, Universitaet Karlsruhe(TH), Karlsruhe, Germany;

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正文语种 eng
中图分类薄壳结构;
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A nonlinear Hu-Washizu variational formulation for shells and associated quadrilateral finite element

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