Modeling of cylindrical composite shell structures based on the Reissner’s Mixed Variational Theorem with a variable separation method

Abstract : This work deals with the modeling of laminated composite and sandwich shells through a variable separation approach based on a Reissner’s Variational Mixed Theorem (RMVT). Both the displacement and transverse stress fields are approximated as a sum of products of separated functions of the in-plane coordinates and the transverse coordinate. This approach yields to a non-linear problem that is solved by an iterative process, in which 2D and 1D problems are separately considered at each iteration. In the thickness direction, a fourth-order expansion in each layer is used. For the in-plane description, classical Finite Element method is used. Numerical examples involving several representative shell configurations (deep/shallow, thick/thin) are addressed to show the accuracy of the present method. It is shown that it can provide quasi-3D results less costly than classical LW computations. In particular, the estimation of the transverse stresses, which are of major importance for damage analysis, is very good.
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Philippe Vidal, Olivier Polit, Laurent Gallimard, Michele d'Ottavio. Modeling of cylindrical composite shell structures based on the Reissner’s Mixed Variational Theorem with a variable separation method. Advanced Modeling and Simulation in Engineering Sciences, SpringerOpen, 2019, 6 (1), ⟨10.1186/s40323-019-0132-0⟩. ⟨hal-02335745⟩

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