Thermoelastic bending analysis of functionally graded sandwich plates

Zenkour, Ashraf M.; Alghamdi, Najat A.

doi:10.1007/s10853-008-2476-6

Cited by 86 publications

(33 citation statements)

References 22 publications

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“…From Table 2 can be noticed that the present results show excellent agreement with other HSDTs with thickness stretching effect [5,13]. It can be also noticed that theories with thickness stretching effect (including the present one) presents lower non-dimensional deflection results than other solutions based on classical 2D HSDTs (ε zz = 0).…”

Section: Numerical Results and Discussionsupporting

confidence: 81%

“…The results are compared with solutions based on TSDT and HSDTs with thickness stretching effect proposed by Zenkour and Alghamdi [5] and Houari et al [13]. From Table 2 can be noticed that the present results show excellent agreement with other HSDTs with thickness stretching effect [5,13].…”

Section: Numerical Results and Discussionsupporting

confidence: 57%

“…The quasi-3D TPT presented in this paper includes the thickness stretching effect, ε zz ≠ 0. The thermoelastic bending problem of FG sandwich plates (consisting of a homogeneous core with two FG face-sheet layers) were studied by Zenkour and Alghamdi [5], using a HSDT with thickness stretching effect. The authors modeled nonlinear temperature distribution with a sine function.…”

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confidence: 99%

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Thermoelastic behavior of advanced composite sandwich plates by using a new 6 unknown quasi-3D hybrid type HSDT

Mantari

Granados

2015

Composite Structures

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Please cite this article as: Mantari, J.L., Granados, E.V., Thermoelastic behavior of advanced composite sandwich plates by using a new 6 unknown quasi-3D hybrid type HSDT, Composite Structures (2015), doi: http://dx.Abstract. This paper presents an analytical solution for the thermoelastic bending analysis of advanced composite sandwich plates by using a new quasi-3D hybrid type HSDT with 6 unknowns which is based on a generalized formulation. In addition, the nonlinear term of the temperature field is included in the generalized mathematical formulation in such way that it can be freely chosen and if desired can be different from the shear strain shape functions of the displacement field. So, infinite quasi-3D hybrid type HSDTs with just 6 unknowns can be derived from the present generalized formulation. The thermoelastic bending governing equations are obtained through the principle of virtual works and solved via Navier Method. Interesting results are obtained and compared with quasi-3D and 2D HSDTs. Transverse shear stress results are strongly influenced by nonlinear temperature field and for different HSDTs different results are produced.Therefore should be further discussed in the literature.

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Section: Numerical Results and Discussionsupporting

confidence: 81%

Section: Numerical Results and Discussionsupporting

confidence: 57%

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confidence: 99%

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Thermoelastic behavior of advanced composite sandwich plates by using a new 6 unknown quasi-3D hybrid type HSDT

Mantari

Granados

2015

Composite Structures

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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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“…Zimmerman and Lutz [5] determined the exact solution of thermal stresses and thermal expansions for a uniformly heated functionally graded cylinder, they derived a governing equation for the thermo-elastic equilibrium of the cylinder by substituting stress, strain, and kinematic relations into the stress equilibrium equation allowing the elastic moduli and thermal expansion coefficient to vary in the radius direction, then the equation was solved analytically. The mechanical properties of FGMs were often being represented in the exponentially graded form [6-8] and power-law variation one [1,[9][10][11][12][13][14][15][16][17]. Reddy [1] analyzed the static behavior of FG rectangular plates based on his third-order shear deformation plate theory.…”

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confidence: 99%

Thermomagnetic viscoelastic responses in a functionally graded hollow structure

Allam

Tantawy

2011

Acta Mech Sin

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This paper presents an analytical solution for the interaction of electric potentials, electric displacements, elastic deformations, and thermoelasticity, and describes electromagnetoelastic responses and perturbation of the magnetic field vector in hollow structures (cylinder or sphere), subjected to mechanical load and electric potential. The material properties, thermal expansion coefficient and magnetic permeability of the structure are assumed to be graded in the radial direction by a power law distribution. In the present model we consider the solution for the case of a hollow structure made of viscoelastic isotropic material, reinforced by elastic isotropic fibers, this material is considered as structurally anisotropic material. The exact solutions for stresses and perturbations of the magnetic field vector in FGM hollow structures are determined using the infinitesimal theory of magnetothermoelasticity, and then the hollow structure model with viscoelastic material is solved using the correspondence principle and Illyushin's approximation method. Finally, numerical results are carried out and discussed.

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Thermoelastic bending analysis of functionally graded sandwich plates

Cited by 86 publications

References 22 publications

Thermoelastic behavior of advanced composite sandwich plates by using a new 6 unknown quasi-3D hybrid type HSDT

Thermoelastic behavior of advanced composite sandwich plates by using a new 6 unknown quasi-3D hybrid type HSDT

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

Thermomagnetic viscoelastic responses in a functionally graded hollow structure

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