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Completely hierarchicalp-version curved shell element for laminated composite plates and shells

机译:用于层压复合板和壳体的完全分层式弧形外壳元件

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This paper presents a new completely hierarchical three dimensional curved shell finite element formulation for linear static analysis of laminated composite plates and shells. The element displacement approximation can be of arbitrary polynomial orderspξ,pηandpξin the ξ, η, and ξ directions thereby permitting strains of at least (pξ−1), (pη−1) and (pξ−1) order. The element approximation functions as well as the nodal variables are hierarchical. The element formulation ensuresC0continuity. The lamina properties are incorporated by numerically integrating the element stiffness matrix for each lamina. The formulation has no restriction on either the number of laminas or the layup pattern of the laminas. The geometry of the laminated shell element is described by the coordinates of the nodes lying on the middle surface of the element and the lamina thicknesses at each node. The element formulation is equally effective for very thin as well as very thick laminated plates and curved shells. The results obtained from the present formulation are compared with those available in the literature as well as available analyt
机译:该文提出了一种新的完全分层的三维曲面壳有限元公式,用于层压复合板和壳的线性静力分析。单元位移近似可以是任意多项式阶pξ,pη和pξ在ξ,η和ξ方向上,从而允许至少(pξ−1),(pη−1)和(pξ−1)阶的应变。元素逼近函数和节点变量是分层的。元素配方确保了C0的连续性。通过对每个薄片的单元刚度矩阵进行数值积分来合并薄片属性。该配方对层数或层的铺层模式没有限制。层压壳单元的几何形状由位于单元中间表面的节点的坐标和每个节点的层厚度来描述。该元件配方对于非常薄和非常厚的层压板和弯曲外壳同样有效。将本制剂获得的结果与文献中可用的结果以及可用的分析结果进行比较

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