Nonlinear Behavior of FGM Plate in Cylindrical Bending Under Uniform Loading Mohamed Bourada 1,3(&) , Fouad Bourada 2 , Abdelhakim Kaci 1,3 , Mohamed Bouremana 1 , and Abdelouahed Tounsi 1 1 Laboratoire des Matériaux et Hydrologie, Universite Djillali Liabes, Sidi Bel Abbes, Algeria med_bourada@yahoo.fr 2 Département de Génie civil, Centre Universitaire Belhadj Bouchaib, Ain Témouchent, Algeria 3 Laboratoire de modélisation et simulation multi-échelles, Université de Sidi Bel Abbes, Sidi Bel Abbes, Algeria Abstract. In this work, the nonlinear behaviour of an exponential functionally graded plate (E-FGP) is studied. The plates are subjected to uniform loads and their geometric nonlinearity is introduced in the strain–displacement equations based on Von-Karman assumptions. The material properties of functionally graded plates are assumed to vary continuously across the thickness of the plate in accordance with the exponential law distribution; the Hamilton’s principle is used herein to derive the solution of the system. Several numerical results for exponential functionally graded plates are given in the form of explicit graphs; and the effects of material properties on deflections and normal stresses across the thickness are determined. Keywords: Exponential functionally graded plate  Nonlinear behaviour The Hamilton principle 1 Introduction The mechanical properties of the functionally graded materials vary discretely on one surface to the other. This is achieved by gradually varying the volume fraction of the constituent materials. the new property functions are adapted and the performance of materials in harsh environments could be improved. Several studies of Functionally graded plates on linear thermal bending of FGM plates are presented such as (Yamanoushi et al. 1990; Koizumi 1993; Tanigawa et al. 1996; Reddy et al. 1999; Praveen et al. 1999; Mizuguchi and Ohnabe 1996). The response of functionally graded (FG) ceramic-metal plates using a plate finite element that accounts for the transverse shear strains is analysed by Praveen and Reddy (1998). Reddy (2000) developed solutions for rectangular FG plates based on the (TSDT) third-order shear deformation plate theory. A nonlinear cylindrical bending analysis of FG plates based on the Classical Plate Theory (CPT) has been performed (Sun and Chin 1988, 1991; Navazi et al. 2006). © Springer International Publishing AG 2018 B. Abdelbaki et al. (Eds.): SMSD 2017, Proceedings of the Third International Symposium on Materials and Sustainable Development, pp. 147–156, 2018. https://doi.org/10.1007/978-3-319-89707-3_18