Mechanical buckling analysis of functionally graded composite laminated plates reinforced with temperature dependent graphene sheets resting on elastic foundation

Abstract

Present study aims to investigate the mechanical buckling including the shear buckling and the in-plane mechanical buckling of composite laminated plates reinforced with graphene sheets with temperature dependent features resting on Winkler-Pasternak elastic foundation in a thermal ambient. The governing equations in the framework of the first order shear deformation theory are attacked by the Ritz method. The plate is subjected to uniaxial, biaxial and shear loads. The innovation of the present paper is considering the temperature dependency and anisotropicity of the material properties of a nanocomposite layer that reinforced with graphene sheets for the purpose of the determination of the mechanical buckling treatment of a graphene reinforced composite (GRC) laminated plate with different boundary condition types. Resorting to the extended Halpin-Tsai micromechanical model, the thermo-mechanical characteristics of a lamina is defined. Numerical outcomes of the present study are confirmed with the presented data in the literature. The effects of the elastic foundation parameter, the temperature, the plate side to its thickness ratio, the layup scheme, the boundary condition type and the distribution pattern of graphene-reinforced composites on the critical buckling load are investigated. It is found that, the impact of elastic foundation incorporation is less visible on the critical shear buckling load rather than the critical uniaxial and biaxial mechanical loads. Moreover, the largest critical buckling load belongs to layup [0] 10 among the all under studied lamination schemes.

Dynamic instability characteristics of graphene‐reinforced cellular sandwich plates using a three‐variable isogeometric approach

“…Nevertheless, the existence of internal pores in cellular materials may significantly decrease their stiffness which can result in some limitations in terms of their practical applications. The addition of reinforcing phases like graphene nanoplatelets (GNPs) [8][9][10][11][12] to cellular materials is a promising solution to deal with this problem since GNPs offer a range of beneficial features and potential uses such as exceptional mechanical properties, a high aspect ratio or low cost. As a result, numerous studies have been conducted on porous structures reinforced with GNPs in the literature [13][14][15][16][17][18].…”

Nonlinear vibration and dynamic buckling responses of stiffened functionally graded graphene‐reinforced cylindrical, parabolic, and sinusoid panels using the higher‐order shear deformation theory

“…The isogeometric finite element method was used to investigate the thermal buckling [39], postbuckling [40], and free vibration [41] of FG-GRC plates. Linear buckling problems of FG-GRC laminated plates with temperature-dependent properties were studied taking into account the foundation interaction [42]. By using the variational differential quadrature finite element method, the buckling and vibration problems of plates and cylindrical panels were mentioned [43][44][45][46].…”

Nonlinear buckling and post-buckling analyses of functionally graded circular shallow arches

“…When the literature is examined, it is seen that there is a large amount of papers on the static, stability and dynamic responses of FG beams, 28–44 plates and shells. 45–73 Curved beams or arches made of homogeneous materials are frequently encountered in various engineering applications. 74–82 However, studies on the structural analysis of the FG arches are limited.…”