Analyses of Circular Magnetoelectroelastic Plates with Functionally Graded Material Properties

Sládek, J.; Sládek, V.; Krahulec, Slavomír; Chen, C. S.; Young, D. L.

doi:10.1080/15376494.2013.807448

Cited by 58 publications

(14 citation statements)

References 15 publications

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“…Guo et al [2] studied the sizedependent behavior of the FG plate under surface load by using the modified couple-stress theory. Sladek et al [3] proposed a meshless method based on the local Petrov-Galerkin approach to investigate the bending behavior of FG plate. Li et al [4] derived the analytical solution for the axisymmetric problem of FG circular plates.…”

Section: Introductionmentioning

confidence: 99%

Bending Analysis of Laminated Two-Dimensional Piezoelectric Quasicrystal Plates with Functionally Graded Material Properties

Yang

Gao

2019

Acta Phys. Pol. A

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This paper presents an exact solution for a functionally graded multilayered two-dimensional piezoelectric quasicrystal plate with simply supported boundary conditions. The material properties of the functionally graded plate are assumed to be exponentially distributed along the thickness direction. Based on the pseudo-Stroh formalism, an exact solution for a functionally graded plate is derived, and the exact solution for the corresponding multilayered case is obtained in terms of the propagator matrix method. Numerical examples show the influences of functionally graded exponential factor, stacking sequence, and phonon-phason coupling coefficient on the plate. The obtained results should be useful for the analysis and design of the functionally graded two-dimensional piezoelectric quasicrystal plate.

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Section: Introductionmentioning

confidence: 99%

Bending Analysis of Laminated Two-Dimensional Piezoelectric Quasicrystal Plates with Functionally Graded Material Properties

Yang

Gao

2019

Acta Phys. Pol. A

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“…Kattimani and Ray [13] investigated active control of geometrically nonlinear vibrations of functionally graded magnetoelectro-elastic (FGMEE) plates. Bending of circular magnetoelectroelastic plates with functionally graded material properties using a meshless method is analyzed by Sladek et al [14].…”

Section: Introductionmentioning

confidence: 99%

Buckling Analysis of Smart Size-Dependent Higher Order Magneto-Electro-Thermo-Elastic Functionally Graded Nanosize Beams

Ebrahimi

Barati

2016

J. mech.

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The present paper examines the thermal buckling of nonlocal magneto-electro-thermo-elastic functionally graded (METE-FG) beams under various types of thermal loading namely uniform, linear and sinusoidal temperature rise and also heat conduction. The material properties of nanobeam are graded in the thickness direction according to the power-law distribution. Based on a higher order beam theory as well as Hamilton's principle, nonlocal governing equations for METE-FG nanobeam are derived and are solved using Navier type method. The small size effect is captured using Eringen's nonlocal elasticity theory. The most beneficial feature of the present beam model is to provide a parabolic variation of the transverse shear strains across the thickness direction and satisfies the zero traction boundary conditions on the top and bottom surfaces of the beam without using shear correction factors. Various numerical examples are presented investigating the influences of thermo-mechanical loadings, magnetic potential, external electric voltage, power-law index, nonlocal parameter and slenderness ratio on thermal buckling behavior of nanobeams made of METE-FG materials.

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“…Kattimani and Ray (2015) investigated active control of geometrically nonlinear vibrations of FG MEE plates. Sladek et al (2015) analyzed bending of circular magneto-electro-elastic plates with functionally graded material properties using a meshless method.…”

Section: Introductionmentioning

confidence: 99%

An exact solution for buckling analysis of embedded piezo-electro-magnetically actuated nanoscale beams

Ebrahimi¹,

Barati²

2016

Advances in nano research

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This paper investigates the buckling behavior of shear deformable piezoelectric (FGP) nanoscale beams made of functionally graded (FG) materials embedded in Winkler-Pasternak elastic medium and subjected to an electromagnetic field. Magneto-electro-elastic (MEE) properties of piezoelectric nanobeam are supposed to be graded continuously in the thickness direction based on power-law model. To consider the small size effects, Eringen's nonlocal elasticity theory is adopted. Employing Hamilton's principle, the nonlocal governing equations of the embedded piezoelectric nanobeams are obtained. A Navier-type analytical solution is applied to anticipate the accurate buckling response of the FGP nanobeams subjected to electromagnetic fields. To demonstrate the influences of various parameters such as, magnetic potential, external electric voltage, power-law index, nonlocal parameter, elastic foundation and slenderness ratio on the critical buckling loads of the size-dependent MEE-FG nanobeams, several numerical results are provided. Due to the shortage of same results in the literature, it is expected that the results of the present study will be instrumental for design of size-dependent MEE-FG nanobeams.

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Analyses of Circular Magnetoelectroelastic Plates with Functionally Graded Material Properties

Cited by 58 publications

References 15 publications

Bending Analysis of Laminated Two-Dimensional Piezoelectric Quasicrystal Plates with Functionally Graded Material Properties

Bending Analysis of Laminated Two-Dimensional Piezoelectric Quasicrystal Plates with Functionally Graded Material Properties

Buckling Analysis of Smart Size-Dependent Higher Order Magneto-Electro-Thermo-Elastic Functionally Graded Nanosize Beams

An exact solution for buckling analysis of embedded piezo-electro-magnetically actuated nanoscale beams

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