Bending Analysis of Functionally Graded Sandwich Plates Under the Effect of Mechanical and Thermal Loads

Zenkour, Ashraf M.; Alghamdi, Najat A.

doi:10.1080/15376494.2010.483323

Cited by 128 publications

(50 citation statements)

References 34 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

226

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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

226

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show abstract

“…(26), (27), and (28) into Eq. (24) and setting the result into the immovability condition (18) yields the following conditions for…”

Section: Solving Equationsmentioning

confidence: 99%

“…1, is considered [11,12,14,[17][18][19][20][21][22][23][24][25][26][27]. Total height, width, and length of the plate are indicated as h, b, and a, respectively.…”

Section: Sandwich Fgm Platesmentioning

confidence: 99%

Thermal buckling and post-buckling response of imperfect temperature-dependent sandwich FGM plates resting on elastic foundation

Kiani

Eslami

2011

Arch Appl Mech

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Post-buckling behaviour of sandwich plates with functionally graded material (FGM) face sheets under uniform temperature rise loading is considered. It is assumed that the plate is in contact with a Pasternak-type elastic foundation during deformation, which acts in both compression and tension. The derivation of equations is based on the first-order shear deformation plate theory. Thermomechanical non-homogeneous properties of FGM layers vary smoothly by the distribution of power law across the thickness, and temperature dependency of material constituents is taken into account. Using the non-linear von-Karman strain-displacement relations, the equilibrium and compatibility equations of imperfect sandwich plates with FGM face sheets are derived. The boundary conditions for the plate are assumed to be simply supported in all edges. The governing equations are reduced to two coupled equation in terms of stress function and lateral deflection. Employing the single mode approach combined with Galerkin technique, an approximate closed-form solution is presented to calculate the critical buckling temperature and post-buckling equilibrium path of the plate. Presented numerical examples contain the influences of power law index, sandwich plate geometry, geometrical imperfection, temperature dependency, and the elastic foundation coefficients.

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“…The SSDT was extensively used to study the thermal bending of composite plates [218][219][220], buckling of composite plates [221], bending of FG sandwich plates [222][223], buckling and vibration of FG sandwich plates [224][225], vibration of FG plates [226], bending of FG plates [227], thermal bending of FG plates resting on an elastic foundation [228], thermal buckling of FG plates resting on an elastic foundation [229], nanobeams [230] and nanoplates [231]. The bending relationships between the SSDT and CPT quantities were derived by Zenkour [232] for FG Levy-type plates.…”

Section: Non-polynomial Function Based-modelsmentioning

confidence: 99%

A review of theories for the modeling and analysis of functionally graded plates and shells

Thai

Kim

2015

Composite Structures

393

103

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Bending Analysis of Functionally Graded Sandwich Plates Under the Effect of Mechanical and Thermal Loads

Cited by 128 publications

References 34 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 buckling and post-buckling response of imperfect temperature-dependent sandwich FGM plates resting on elastic foundation

A review of theories for the modeling and analysis of functionally graded plates and shells

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