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

Michele D’Ottavio¹  Philippe Vidal¹  Laurent Gallimard¹  Olivier Polit¹ 

[1] LEME, UPL, Univ Paris Nanterre, 50 rue de Sèvres, 92410, Ville d’Avray, France;

关键词: Composite;    Shell;    Separation of variables;    RMVT;   

DOI  :  10.1186/s40323-019-0132-0

来源: publisher

【 摘 要 】

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.

【 授权许可】

CC BY