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Comparison of different degenerated approaches for the modeling of composite shell structures

机译:复合壳结构建模不同退化方法的比较

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In this paper, different degenerated shell approaches in conjunction with a layer-wise (LW) model for composite structures are investigated using Finite Element method. The first one involves a classical LW model. The second one is based on a variable separation method, the Proper Generalized Decomposition (PGD), in which the displacement field is approximated as a sum of separated functions of the in-plane coordinates and the transverse coordinate. This choice yields to a non-linear problem to be solved. An iterative process consisting of solving a 2D and 1D problem successively at each iteration is carried out. For the two approaches, a fourth-order expansion in the thickness direction is considered in each layer. For the in-plane description, classical shell Finite Element is used. These simplified approaches are assessed through mechanical tests for thin/thick and deep/shallow laminated shells with different boundary conditions. Various numbers of layers are also considered. The capabilities and limitations of the methods are discussed. The results are compared with an approach based on an exact geometry description.
机译:本文采用有限元法研究了与复合结构的层面(LW)模型结合使用的不同退化的壳体方法。第一个涉及古典LW模型。第二个基于可变分离方法,适当的广义分解(PGD),其中位移字段被近似为面内坐标和横向坐标的分离功能的和。这种选择产生了要解决的非线性问题。通过在每次迭代中连续地求解2D和1D问题的迭代过程。对于两种方法,在每层中考虑厚度方向上的四阶扩展。对于面内描述,使用典型的壳体有限元。通过具有不同边界条件的薄/厚和深/浅层层压壳的机械测试来评估这些简化的方法。还考虑了各种数量的层。讨论了方法的能力和限制。将结果与基于精确的几何描述的方法进行比较。

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