Multiresolution strategies for the modeling of composite shell structures based on the variable separation method

Abstract : We are interested in the layer-wise modeling of composite cylindrical shell structures based on a variable separation method. The present study is focused on the use of a multiresolution strategy to decrease the computational cost ofumerous analyses where some parameters can change. For this purpose, the displacement field is approximated as a sum of separated functions of the in-plane coordinates and the transverse coordinate. Thus, an iterative process that consists of solving a two-dimensional (2D) and a one-dimensional problem successively at each iteration is required. In the thickness direction, a fourth-order expansion in each layer is considered. For the in-plane description, a classical finite element method is used. In our framework of a multiresolution process, once a first computation is achieved, the previously built 2D functions can be used. Thus, the following problems to be solved can be limited to a one-dimensional problem. If needed, only few 2D functions might be built. The approach is assessed through mechanical tests on L-angle specimens by comparing with a quasi–three-dimensional layer-wise approach. It is illustrated by varying the geometry and the stacking sequences of the shell.
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Submitted on : Wednesday, February 6, 2019 - 6:19:07 PM
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Philippe Vidal, Laurent Gallimard, Olivier Polit. Multiresolution strategies for the modeling of composite shell structures based on the variable separation method. International Journal for Numerical Methods in Engineering, Wiley, 2019, 117 (7), pp.778-799. ⟨hal-01984036⟩

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