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Finite element procedure for modelling fibre metal laminates

机译：纤维金属层压板建模的有限元程序

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摘要

A geometrically and physically nonlinear solid-like shell element is presented to analyse the behaviour of laminated structures. The geometrically nonlinear formulation of the element is derived from three-dimensional continuum mechanics and accounts for the change of thickness. The geometry of the element is described by sixteen nodes which are located at the top and the bottom surface of the element. At each node three translational degrees of freedom are defined. Additionally, four internal degrees of freedom are assumed to improve the description of the internal stretching. The physically nonlinear behaviour is assumed to be governed by the Hoffmann yield criterion for orthotropic materials and the von Mises yield criterion for isotropic materials. It is explained how the element can be applied to laminated structures. By calculating benchmark tests obtained from the literature the behaviour of the element is compared with that of standard finite shell and solid elements. From these tests it is concluded that the solid-like shell element is well suited to compute laminated structures. Finally, the element is applied to compute the behaviour of a tensile specimen made of the Fibre Metal Laminate GLARE~® which gives results which are in good agreement with experimental data.
机译：提出了一种几何和物理上非线性的固体壳单元，以分析层压结构的行为。元素的几何非线性公式是从三维连续力学中得出的，并考虑了厚度的变化。元素的几何形状由位于元素顶部和底部表面的十六个节点描述。在每个节点上，定义了三个平移自由度。另外，假定四个内部自由度可以改善内部拉伸的描述。假定物理非线性行为受正交异性材料的霍夫曼屈服准则和各向同性材料的von Mises屈服准则支配。说明了该元件如何应用于层压结构。通过计算从文献中获得的基准测试，可以将元素的行为与标准有限壳和实体元素的行为进行比较。从这些测试可以得出结论，固体壳单元非常适合于计算层压结构。最后，该元素被用于计算由纤维金属层压板GLARE®制成的拉伸试样的性能，其结果与实验数据非常吻合。

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