Soares, Carlos A. MotaSimões Moita, José MateusAraujo, Aurélio L.Correia, Victor FrancoSoares, Cristóvão M. Mota2026-05-142026-05-142025-081537-6494http://hdl.handle.net/10400.1/28960In this work, we present formulations for linear and geometrically nonlinear static analyses ofhybrid axisymmetric shell structures. The hybrid structures (F/C/F) are made by layers of compositematerial (C) sandwiched by two functionally graded material layers (F). The analysis is performedusing a finite element model. The numerical solution is obtained by expanding the variables inFourier series in the circumferential direction and using conical frustum finite elements in themeridional direction. The implemented finite element is a simple conical frustum with two nodalcircles. This model uses a small number of discrete layers to model the continuous variation ofthe mechanical properties through the thickness of the functionally graded material (FGM) layers.It requires a reduced number of finite elements to model the geometry of even complex struc-tures, and the integration procedures uses only one Gauss point. From the combination of thosecharacteristics, the resulting model requires extremely low computation time. A computer programhas been developed, and the solutions obtained are discussed and compared with resultsobtained by alternative models available in the literature. The present plate/shell model providesnew insights for future advances to carry out numerical studies involving multi-objective optimiza-tion of axisymmetric structures made of advanced materials.engHybrid axisymmetric shellsStatic analysisFinite element analysisNumerical resultsjournal article10.1080/15376494.2025.25377791537-6532