Thermal buckling of various types of FGM sandwich plates

Zenkour, Ashraf M.; Sobhy, Mohammed

doi:10.1016/j.compstruct.2010.06.012

Cited by 223 publications

(80 citation statements)

References 29 publications

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“…Zenkour [1][2] used a sinusoidal shear deformation theory (SSDT) to study the bending, buckling and free vibration of FG sandwich plates with FG face sheets and a homogeneous core. The behavior of FG sandwich plates under thermal environment was also studied by Zenkour and his colleagues [3][4][5] using FSDT, SSDT and third-order shear deformation theory (TSDT) of Reddy [6]. Based on an accurate HSDT, Natarajan and Manickam [7] studied the bending and free vibration behavior of two types of FG sandwich plates, i.e.…”

Section: Introductionmentioning

confidence: 99%

Analysis of functionally graded sandwich plates using a new first-order shear deformation theory

Thai

Nguyen

et al. 2014

European Journal of Mechanics - A/Solids

238

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In this paper, a new first-order shear deformation theory is presented for functionally graded sandwich plates composed of functionally graded face sheets and an isotropic homogeneous core. By making a further assumption to the existing first-order shear deformation theory, the number of unknowns and governing equations of the present theory is reduced, thereby making it simple to use. In addition, the use of shear correction factor is no longer necessary in the present theory since the transverse shear stresses are directly computed from the transverse shear forces by using equilibrium equations. Equations of motion are derived from Hamilton's principle. Analytical solutions for bending, buckling and free vibration analysis of rectangular plates under various boundary conditions are presented. Verification studies show that the present first-order shear deformation theory is not only more accurate than the conventional one, but also comparable with higher-order shear deformation theories which have a greater number of unknowns.

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Section: Introductionmentioning

confidence: 99%

Analysis of functionally graded sandwich plates using a new first-order shear deformation theory

Thai

Nguyen

et al. 2014

European Journal of Mechanics - A/Solids

238

View full text Add to dashboard Cite

show abstract

“…Matsunaga [22] developed a two-dimensional global higher-order deformation theory for thermal buckling of plates made of FGMs. He calculated the critical buckling temperatures of a simply supported FGP subjected to uniformly and linearly distributed temperatures by Zenkour and Sobhy [23,24]. Bourada et al [24] studied the critical bucklingtemperature for FGM sandwich plates.Recently, Akbarzadeh et al [25] performed an analysis of coupled thermo-elasticity of simply supported FG plates based on the Reddy's TSDT.…”

Section: Introductionmentioning

confidence: 99%

Thermal stability analysis of functionally graded plates using simple refined plate theory

Bouazza¹,

Boucheta²,

Becheri³

et al. 2017

Int. J. Automot. Mech. Eng.

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The present paper investigates the thermal stability analysis of functionally graded material plates subjected to three types of thermal loadings, namely; uniform temperature rise, linear temperature rise and non-linear temperature rise through the thickness, using a novel simple refined theory. The theory, which has strong similarity with classical plate theory in many aspects, accounts for a quadratic variation of the transverse shear strains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. Material properties are varied continuously in the thickness direction according to a simple power law distribution. A buckling analysis of a functionally graded plate under there types of thermal loads is carried out and results in closed-form solutions thermal stability analysis of functionally graded plates using simple refined plate theory. The influence of various factors such as gradient index, temperature loads, thickness and aspect ratios are carefully studied. The results are verified with the known data in the literature. This theory is seen to behave well, and the results of the sample problem show good agreement with the literature values as seen from the validation checks.

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“…FGMs can be used in di erent forms. Zenkour and Sobhy [12] studied thermal buckling of various types of FGM sandwich plates. These studies incorporate dynamic buckling of suddenly loaded imperfect hybrid FGM cylindrical shells.…”

Section: Introductionmentioning

confidence: 99%

Effects of shear deformation on Mechanical and thermo-mechanical nonlinear stability of FGM shallow spherical shells subjected to uniform external pressure

Shahmohamadi

Kabir

2017

Scientia Iranica

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Abstract. In the present paper, the asymmetrical nonlinear response of a clamped functionally-graded shallow spherical shell is subjected to uniform external pressure. It considers the e ects of thermal stresses by both of the theories: Classical Laminate Theory (CLT) and First-order Shear Deformation Theory (FSDT). Material properties are graded in the thickness direction according to the power-law distribution in terms of the volume fraction of the constituents. Mechanical and thermo-mechanical properties are assumed to be temperature-independent and linear elastic. All of the governing equations are derived by aid of rst-order transverse shear deformation theory considering geometrical nonlinearity. The nonlinear di erential equation system is solved by Galerkin method. Buckling and post-buckling analyses have been done according to one-term deformation mode by the closed-form relation of load-de ection that shows the equilibrium path. Parametric studies are conducted to bring out the e ects of shear deformation on the equilibrium path in di erent geometries and boundary conditions. Numerical results are presented in graphical arrangement, showing the geometrical nonlinear equilibrium paths. The e ects of shear deformation on the equilibrium path are considered by comparing the results of FSDT and CLT, and they are veri ed by nonlinear nite-element method.

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Thermal buckling of various types of FGM sandwich plates

Cited by 223 publications

References 29 publications

Analysis of functionally graded sandwich plates using a new first-order shear deformation theory

Analysis of functionally graded sandwich plates using a new first-order shear deformation theory

Thermal stability analysis of functionally graded plates using simple refined plate theory

Effects of shear deformation on Mechanical and thermo-mechanical nonlinear stability of FGM shallow spherical shells subjected to uniform external pressure

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