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Displacement and stress analysis of laminated composite plates using an eight-node quasi-conforming solid-shell element

机译:八节点准协调固体壳单元用于层合板的位移和应力分析

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This paper presents the efficient modeling and analysis of laminated composite plates using an eightnode quasi-conforming solid-shell element, named as QCSS8. The present element QCSS8 is not only lockingfree, but highly computational efficiency as it possesses the explicit element stiffness matrix. All the six components of stresses can be evaluated directly by QCSS8 in terms of the 3-D constitutive equations and the appropriately assumed element strain field. Several typical numerical examples of laminated plates are solved to validate QCSS8, and the resulting values are compared with analytical solutions and the numerical results of solid/solidshell elements of commercial codes computed by the present authors in which fine meshes were used. The numerical results show that QCSS8 can give accurate displacements and stresses of laminated composite plates even with coarse meshes. Furthermore, QCSS8 yields also accurate transverse normal strain which is very important for the evaluation of interlaminar stresses in laminated plates. Since each lamina of laminated composite plates can be modeled naturally by one or a few layers of solidshell elements and a large aspect ratio of element edge to thickness is allowed in solid-shell elements, the present solid-shell element QCSS8 is extremely appropriate for the modeling of laminated composite plates.
机译:本文提出了一种使用八节点准协调固体壳单元QCSS8的层压复合板的高效建模和分析。当前的元素QCSS8不仅具有无锁定功能,而且还具有显式的元素刚度矩阵,因此具有很高的计算效率。 QCSS8可以根据3-D本构方程和适当假定的单元应变场直接评估应力的所有六个分量。求解了几个典型的层压板数值实例,以验证QCSS8,并将所得值与解析方法进行了比较,并比较了使用精细网格的作者编写的商品代码的固/固单元的数值结果。数值结果表明,即使在粗大网格的情况下,QCSS8仍能给出精确的层合板位移和应力。此外,QCSS8还可以产生准确的横向法向应变,这对于评估层压板的层间应力非常重要。由于层压复合板的每个层板都可以通过一层或几层固体元件自然建模,并且在固体元件中允许较大的元件边缘与厚度的长宽比,因此本发明的固体元件QCSS8非常适合用于复合材料板的建模。

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