Résumé:
Functionally graded material (FGM) composites represent an exciting and active
field of research in mechanical and aerospace engineering. These materials are
characterized by a graded variation of certain material properties, which occurs
generally between metal and ceramic. In parallel, nanomaterials are also catching
the interest of researchers due to their extraordinary physical properties,
particularly in structural reinforcing. We study in this thesis the use of graphene
platelets (Gpls) nanomaterial to reinforce porous metal-ceramic FGMs, which is a
case of study that has not been previously reported in the literature. We utilize a
three-steps modelling procedure to represent the material properties of this multiparametric FGM, and a hyperbolic higher-order plate theory to represent
transverse shear effects. The general equations of equilibrium were derived by
hand using Hamilton’s principle, and were solved analytically for simplysupported plates. After method validation of the developed Python codes, we
carried out various parametric examples to study the influence of the base FGM
composition, GPls, porosity, and plate’s dimensions on the mechanical behaviour
of rectangular FGM plates (including the free vibration, static bending, and
buckling). The obtained results can serve as a guideline for future research on
porous GPls-reinforced metal-ceramic FGMs.
