Nonlinear thermo-mechanical buckling and postbuckling of sandwich FG-GPLRC spherical caps and circular plates with porous core by using higher-order shear deformation theory

Abstract

The main aim of this research is to establish the algorithm for nonlinear thermo-mechanical buckling of sandwich functionally graded graphene platelet reinforced composite (FG-GPLRC) shallow spherical caps and circular plates with porous core under external pressure and/or uniformly distributed thermal load according to the higher-order shear deformation theory considering the von Karman nonlinearities. Sandwich spherical caps and circular plates are made by the porous core and two FG-GPLRC coatings and are assumed to be rested on an elastic foundation modeled by the Pasternak model. The equilibrium equation system in the form of nonlinear algebra can be approximately obtained using the Ritz energy method. The critical buckling loads and postbuckling curves can be explicitly determined. The effects of material parameters, geometrical parameters, porous core, and elastic foundation on thermo-mechanical buckling of sandwich spherical caps and circular plates with porous core and FG-GPLRC coatings are investigated and discussed in detail in the numerical investigation section.

Nonlinear dynamic buckling analysis of the FG-GPLRC cylindrical and sinusoid panels with porous core under time-dependent axial compression

“…For FGM structures with porous core, the plates, cylindrical panels, and cylindrical shells were investigated in nonlinear buckling and postbuckling problems using the Galerkin method [15][16][17][18]. The Ritz energy method was applied to investigate the nonlinear thermos-mechanical buckling and postbuckling of FG-GPLRC spherical caps and circular plates with porous core [19].…”

Nonlinear thermo-elastic stability of corrugated-core toroidal shell segments with carbon nanotube-reinforced face sheets under radial pressure

“…Many studies on oscillation, stability post-instability, and failure behavior of sandwich structures were also performed. [46][47][48][49][50][51][52] Corrugated structures are popularly designed as the cores for structures subject to high-intensity loads. In those cases, the corrugated core acts as a lightweight layer, while the face sheets act as the principal carrying capacity layers.…”