Effet de la porosité sur le comportement mécanique des plaques sandwiches épaisses en matériaux à gradient fonctionnel

Abstract

The main objective of this thesis is to study the effect of porosity on the mechanical behavior of thick functionally graded sandwich plates resting on various boundary conditions under different in-plane loads. The formulation is made from a developed sandwich plate using a functional gradient material based on a modified power law function of symmetric and asymmetric configuration.Four different porosity distributions are considered and varied in accordance with material propriety variation in the thickness direction of the face sheets of the sandwich plate;metal foam is also considered in this study on the second model of sandwich, which contains metal foam core and FGM face sheets.A new quasi-3D high shear deformation theory is used for this investigation ; the present kinematic model introduces only six variables with stretching effects by adopting a new indeterminate integral variable in the displacement field. The stability equations are obtained by the virtual work's principal and then solved by the Navier-type method for the supported plate.The effect of Pasternak and Winkler elastic foundations is also included here. The present model validated with those from the literature, then the effect of different parameters: porosity parameters,foam cell distribution, boundary conditions, elastic foundation, power law index, ratio aspect, side to thickness, and different in-plane load on the variation of the buckling behavior are demonstrated.