Design of laminated structures needs computation of local quantities, thus a Layerwise approach is necessary to recover this kind of results. The computational cost of such approach increases with the number of layers. In this work, the introduction of the Proper Generalized Decomposition (PGD) is presented for the layer-wise modeling of heterogeneous cylindrical shells in order to reduce the number of unknowns. The displacement field is approximated as a sum of separated functions of the in-plane coordinates ξ~1, ξ~2 and the transverse coordinate z. This choice yields to an iterative process that consists of solving a 2D and 1D problem successively at each iteration. In the thickness direction, a fourth-order expansion in each layer is considered. For the in-plane description, classical Finite Element Method is used. Relevance of the present approach is demonstrated on different benchmarks analyzed by Ren (1987). Mechanical tests for thin/thick and deep/shallow laminated cylindrical shells are presented. The results are compared with the elasticity reference solutions.
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