Isogeometric analysis of laminated composite and sandwich plates using a layerwise deformation theory
Isogeometric analysis of laminated composite and sandwich plates using a layerwise deformation theory
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DOI：
10.1016/j.compstruct.2013.04.002
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发表时间：
2013-10
影响因子：
6.3
通讯作者：
Chien H. Thai;A. Ferreira;E. Carrera;H. Nguyen-Xuan
中科院分区：
文献类型：
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作者：
Chien H. Thai;A. Ferreira;E. Carrera;H. Nguyen-Xuan
本文提出了层合复合材料和夹层板静力、自由振动和屈曲分析的等几何有限元公式。这项工作背后的思想是将等几何分析（IGA）与分层理论[A.J.M.费雷拉。用分层变形理论和多重二次离散分析复合材料板。机械工程学报，2005;12(2):99-112。基于非均匀有理b样条（NURBS）基本函数的等几何分析最近被提出，以保持精确的几何形状，并极大地提高了传统有限元的精度。采用b样条基本函数（NURBS）来表示几何变量近似和场变量近似，提供了一种灵活的方法来进行细化和度标高。与传统有限元法相比，它使我们能够轻松地实现任意连续顺序的光滑性。分层理论假定每一层均为一阶剪切变形理论，并在各层界面处施加位移连续性。这样可以消除剪切校正因子，提高横向剪切应力的精度。密集的数值研究已经进行，以显示所提出的公式的高效性能。
We present an isogeometric finite element formulation for static, free vibration and buckling analysis of laminated composite and sandwich plates. The idea behind this work is to associate an isogeometric analysis (IGA) with a layerwise theory [A.J.M. Ferreira. Analyis of composite plates using a layerwise deformation theory and multiquadrics discretization. Mech Adv Mater Struct 2005;12(2):99–112]. Isogeometric analysis based on non-uniform rational B-spline (NURBS) basic functions were recently proposed to preserve exact geometries and to enhance very significantly the accuracy of the traditional finite elements. B-splines basic function (or NURBS) is used to represent for both geometric and field variable approximations, which provide a flexible way to make refinement and degree elevation. They enable us to achieve easily the smoothness with arbitrary continuity order compared with the traditional FEM. The layerwise theory assumes a first-order shear deformation theory in each layer and the imposition of displacement continuity at the layers interfaces. This permits to remove shear correction factors and improves the accuracy of transverse shear stresses. Intensive numerical studies have been conducted to show the highly efficient performance of the proposed formulation.