Moita, J.S.M. Franco Correia, V.Mota Soares, C.M.Herskovits, J.2025-03-252025-03-252019Moita, J. S., Correia, V. F., Soares, C. M. M., & Herskovits, J. (2019). Higher-order finite element models for the static linear and nonlinear behaviour of functionally graded material plate-shell structures. Composite structures, 212, 465-475http://hdl.handle.net/10400.26/57424In this work, finite element formulations based on higher order shear deformation theories are used for the nonlinear static analysis of Functionally Graded Material plate-shell type structures. Linear and geometric nonlinear behaviour of the plate-shell type structures are considered. For the nonlinear analysis, the incremental equilibrium path is obtained using the updated Lagrangian procedure and Newton-Raphson incremental-iterative method, incorporating the automatic arc-length method for the cases of snap-through occurrence. The finite element models are based on a non-conforming triangular flat plate/shell element with 3 nodes and 8 or 11 degrees of freedom per node. The solutions of some illustrative plate-shell examples are performed, and the results are presented and discussed with numerical alternative models.engFunctionally graded materialsFinite element modelsStress analysisHigher-order finite element models for the static linear and nonlinear behaviour of functionally graded material plate-shell structuresjournal articlehttps://doi.org/10.1016/j.compstruct.2019.01.046