Thermal buckling of functionally graded sandwich plates using a new hyperbolic shear displacement model

Mehar²,

Engineering with Computers

et al. 2021

In the present research, finite element solutions of thermal post-buckling load-bearing strength of functionally graded (FG) sandwich shell structures are reported by adopting a higher-order shear deformation type kinematics. For the numerical calculation, nine nodes are considered for each element. A specialized MATLAB code is developed incorporating the present mathematical model to evaluate the numerical buckling temperature. The Green-Lagrange nonlinear strain is adopted for the formulation of the sandwich structure. The eigenvalue equation of the FG sandwich structure is solved to predict the postbuckling temperature values of the structure. Moreover, three kinds of temperature distributions across the panel thickness are assumed, viz., uniform, linear and nonlinear. In addition, the properties are described using the power law distributions. The numerical solutions are first validated and, subsequently, the impact of alterations of structural parameters, viz., the curvature ratios, core-face thickness ratios, support conditions and power law index (n Z ) including the amplitude ratio on the thermal post-buckling response of FG sandwich curved panels have been studied in details. The investigation reveals different interesting outcomes, which may help for future references for the analysis and design of the graded sandwich structure.

Section: Introductionmentioning

confidence: 99%

Thermal post-buckling analysis of graded sandwich curved structures under variable thermal loadings

Mehar²,

Engineering with Computers

et al. 2021

Journal of Vibration and Control

“…Kiani et al (2012) analyzed the thermal and mechanical buckling of sandwich plates with functionally graded (FG) face sheets resting on the Pasternak elastic foundation. Thermal buckling of FG sandwich plates using a new hyperbolic shear displacement model was investigated by Kettaf et al (2013). Thermomechanical bending response of thick FG plates resting on the Winkler–Pasternak elastic foundation was studied by Bouderba et al (2013).…”

Section: Introductionmentioning

confidence: 99%

Vibration and thermal buckling analyses of three-layered centrosymmetric piezoelectric microplates based on the modified consistent couple stress theory

Abbaspour

Arvin

2020

In this study, free and forced vibration investigations and thermal buckling analysis of three-layered centrosymmetric piezoelectric microplates are examined. To model the size effects, the size-dependent consistent couple stress theory is used. To be compatible with the modified coupled stress theory, a modification is proposed to apply to the consistent couple stress theory. Resorting to the Navier’s approach, the governing equations are treated in the case of simply supported boundary conditions to extract the free and forced vibration outcomes and the thermal buckling numerical results. The verifications demonstrate the effectiveness of the proposed modification. The effects of the material length scale parameter and the flexoelectricity coefficient on the findings are investigated. Moreover, the closed- and open-circuit condition impacts on the free and forced vibration and the thermal buckling analyses are studied.

“…In the same way, Bouremana et al (2013) developed a new first shear deformation beam theory based on neutral surface position for FG beams. Recently, by employing a novel four variables refined plate theory against five in case of other shear deformation theories, some studies (Fekrar et al 2012;Bouderba et al 2013;Kettaf et al 2013;Tounsi et al 2013;Ait Amar Meziane et al 2014;Zidi et al 2014;Nedri et al 2014) investigated a series of buckling, bending and vibration response of FG plate/ beam and laminated plate supported by elastic foundation. Chakraverty and Pradhan (2014) studied the free vibration of exponential functionally graded rectangular plates in thermal environment with general boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations

Atmane

Tounsi

Bernard

2015

Int J Mech Mater Des

Self Cite

153

The novelty of this paper is the use of an efficient beam theory for bending, free vibration and buckling analysis of functionally graded material (FGM) beams on two-parameter elastic foundation. The present theory accounts for both shear deformation and thickness stretching effects by a parabolic variation of all displacements across the thickness, and satisfies the stress-free boundary conditions on the upper and lower surfaces of the beam without requiring any shear correction factor. Due to porosities, possibly occurring inside FGMs during fabrication, it is therefore necessary to consider the vibration, bending and buckling behaviors of beams having porosities in this work. The equation of motion for FGM beams is obtained through Hamilton's principle. The closed form solutions are obtained by using Navier technique, and then fundamental frequencies are found by solving the results of eigenvalue problems. The validity of the present theory is investigated by comparing some of the present in literature. It can be concluded that the proposed theory is accurate and simple in solving the bending, free vibration and buckling behaviors of FGM sandwich beams.