An analytical solution for bending, buckling and vibration responses of FGM sandwich plates

Meksi, Rafik; Benyoucef, Samir; Mahmoudi, Abdelkader; Tounsi, Abdelouahed; Bedia, E.A. Adda; Mahmoud, S.R.

doi:10.1177/1099636217698443

Cited by 105 publications

(34 citation statements)

References 44 publications

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“…where Substituting the stress and moment resultants (15)- (17) in Eqs. (13) and (14) and applying the method of adjacent equilibrium method [43], we obtain the linear equilibrium equations about the bifurcation point yields the governing equations for the GPL-reinforced sandwich plate as where P L (w 0 ) is the linear form of the P(w 0 ) defined as and the N xx0 , N yy0 and N xy0 are prebuckling (external) loads.…”

Section: Equations Of Equilibriummentioning

confidence: 99%

“…Table 1 shows the results of uniaxial buckling load of the sandwich plate with the functionally graded face layers, compared with the results of refs. [17] and [34]. The FG material is assumed to be aluminum/alumina, and various values of FG index as well as different types of sandwich (23)…”

Section: Verificationmentioning

confidence: 99%

“…To ensure from the correctness of the results for biaxial loading, Table 2 compares the present results with those reported in Refs. [17,34]. All the conditions are the same as the previous comparison, except that the loading is applied in both directions.…”

Section: Verificationmentioning

confidence: 99%

“…Kumar and Srinivas [16] considered vibration, buckling and bending behavior of functionally graded multi-walled carbon nanotubereinforced plates employing the layer-wise formulation and higher-order shear deformation (HSDT) theory. Meksi et al [17] presented a study for bending, buckling and vibration responses of FG sandwich plates. For this problem, Hamilton's principle is used to obtain equations of motion.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Buckling analysis of rectangular sandwich plates with functionally graded graphene-reinforced face layers

Shakouri

Mohseni

2020

J Braz. Soc. Mech. Sci. Eng.

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The buckling analysis of a rectangular sandwich plate smoothly reinforced with multilayered graphene nanoplatelet is presented. The equations of equilibrium are extracted using the principle of minimum total potential energy and the first-order shear deformation theory for the thick sandwich plate. Different graphene distributions are considered through the thickness of the plate, and the rule of mixture is used to obtain the effective properties of the reinforced nanocomposite. To solve the equations, the Fourier series is employed to describe the displacement components and the boundary conditions are considered to be simply supported for all edges. The results are verified with available research, and the effects of some important parameters on the buckling load of the sandwich plate are studied.

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Section: Equations Of Equilibriummentioning

confidence: 99%

Section: Verificationmentioning

confidence: 99%

Section: Verificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Buckling analysis of rectangular sandwich plates with functionally graded graphene-reinforced face layers

Shakouri

Mohseni

2020

J Braz. Soc. Mech. Sci. Eng.

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“…In most cases, functionally graded materials are made of a combination of metal and ceramic to offer a wide range of applications for various equipment subject to extreme thermo-mechanical stresses [5][6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Behavior of Porous and Imperfect Bernoulli-Euler Functionally Graded Nanobeams Resting on Winkler Elastic Foundation

Penna

Feo

2020

Technologies

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Nonlinear free vibrations of functionally graded porous Bernoulli–Euler nano-beams resting on an elastic foundation through a stress-driven nonlocal elasticity model are studied taking into account von Kármán type nonlinearity and initial geometric imperfection. By using the Galerkin method, the governing equations are reduced to a nonlinear ordinary differential equation. The closed form analytical solution of the nonlinear natural flexural frequency is then established using the Hamiltonian approach to nonlinear oscillators. Several comparisons with existing models in the literature are performed to validate the accuracy and reliability of the proposed approach. Finally, a numerical investigation is developed in order to analyze the effects of the gradient index coefficient, porosity volume fraction, initial geometric imperfection, and the Winkler elastic foundation coefficient, on the nonlinear flexural vibrations of metal–ceramic FG porous Bernoulli–Euler nano-beams.

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Dynamic instability of nanocomposite piezoelectric‐leptadenia pyrotechnica rheological elastomer‐porous functionally graded materials micro viscoelastic beams at various strain gradient higher‐order theories

et al. 2021

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The dynamic stability response of a micro sandwich beam with leptadenia pyrotechnica rheological elastomer (LPRE) core is studied. The top and bottom layers respectively are assumed as piezoelectric reinforced with carbon nanotubes (CNTs) and porous functionally graded materials (FGM). The core and top layers are affected by magnetic and electric fields for the magnetic and piezoelectric characteristics of the layers, respectively. The Halpin-Tsai micromechanics theory for obtaining the effective material properties of the nanocomposite layer is utilized. On the basis of Kelvin-Voigt model, the structural damping of the smart micro beam is assumed. The microstructure is located on the viscoelastic model which is simulated using Visco-Pasternak platform. The size effects are assumed according to the theory of strain gradient including three-length scale constants. The various theories of first-order shear deformation beam theory (FSDBT), third-order shear deformation beam theory (TSDBT), parabolic shear deformation beam theory (PSDBT), and exponential shear deformation beam theory (ESDBT) are utilized for driving the governing equations according to the Hamilton's principle. The motion final relations are solved by the differential quadrature method (DQM) for presenting the dynamic buckling area. The effects of different components such as volume percentage and distribution of GPLs, porosities, magnetic field of LPRE, applied voltage, FG index, structural damping, and geometric components of the micro sandwich beam on the dynamic stability reign (DIR) of the system are shown. The results with other researcher papers are compared. The results show that the DIR increases by applying a magnetic field to the LPRE layer.

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An analytical solution for bending, buckling and vibration responses of FGM sandwich plates

Cited by 105 publications

References 44 publications

Buckling analysis of rectangular sandwich plates with functionally graded graphene-reinforced face layers

Buckling analysis of rectangular sandwich plates with functionally graded graphene-reinforced face layers

Nonlinear Dynamic Behavior of Porous and Imperfect Bernoulli-Euler Functionally Graded Nanobeams Resting on Winkler Elastic Foundation

Dynamic instability of nanocomposite piezoelectric‐leptadenia pyrotechnica rheological elastomer‐porous functionally graded materials micro viscoelastic beams at various strain gradient higher‐order theories

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