An exact solution for buckling analysis of embedded piezo-electro-magnetically actuated nanoscale beams
01 Jun 2016-Vol. 4, Iss: 2, pp 65-84
TL;DR: In this paper, 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 electro-magnetic field was investigated.
Abstract: 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 electro-magnetic 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 electro-magnetic 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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TL;DR: In this paper, the damping vibration characteristics of hygro-thermally affected functionally graded (FG) viscoelastic nanobeams embedded in a nonlocal strain gradient elasticity theory are investigated.
194 citations
TL;DR: In this article, the buckling characteristics of a curved functionally graded (FG) nanobeam based on nonlocal strain gradient elasticity theory accounting the stress for not only the nonlocal stress field but also the strain gradients stress field were investigated.
154 citations
TL;DR: In this article, the authors examined the application of nonlocal strain gradient elasticity theory to wave dispersion behavior of a size-dependent functionally graded (FG) nanobeam in thermal environment.
Abstract: This article examines the application of nonlocal strain gradient elasticity theory to wave dispersion behavior of a size-dependent functionally graded (FG) nanobeam in thermal environment. The theory contains two scale parameters corresponding to both nonlocal and strain gradient effects. A quasi-3D sinusoidal beam theory considering shear and normal deformations is employed to present the formulation. Mori–Tanaka micromechanical model is used to describe functionally graded material properties. Hamilton’s principle is employed to obtain the governing equations of nanobeam accounting for thickness stretching effect. These equations are solved analytically to find the wave frequencies and phase velocities of the FG nanobeam. It is indicated that wave dispersion behavior of FG nanobeams is significantly affected by temperature rise, nonlocality, length scale parameter and material composition.
122 citations
TL;DR: In this article, a nonlocal strain gradient theory was used to capture size effects in wave propagation analysis of compositionally graded smart nanoplates, where a power law function is used to describe the material distribution across the thickness of functionally graded (FG) nanoplate.
101 citations
TL;DR: In this paper, a nonlocal four-variable refined plate theory is developed to examine the buckling behavior of nanoplates made of magneto-electro-elastic functionally graded (MEE-FG) materials resting on Winkler-Pasternak foundation.
Abstract: In this article, a nonlocal four-variable refined plate theory is developed to examine the buckling behavior of nanoplates made of magneto-electro-elastic functionally graded (MEE-FG) materials resting on Winkler–Pasternak foundation. Material properties of nanoplate change in spatial coordinate based on power-law distribution. The nonlocal governing equations are deduced by employing the Hamilton principle. For various boundary conditions, the analytical solutions of nonlocal MEE-FG plates for buckling problem will be obtained based on an exact solution approach. Finally, dependency of buckling response of MEE-FG nanoplate on elastic foundation parameters, magnetic potential, external electric voltage, various boundary conditions, small scale parameter, power-law index, plate side-to-thickness ratio and aspect ratio will be figure out. These results can be advantageous for the mechanical analysis and design of intelligent nanoscale structures constructed from magneto-electro-thermo-elastic functionally graded materials.
91 citations
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"An exact solution for buckling anal..." refers background in this paper
...…the magneto-electro-elastic materials Contrary to the constitutive equation of classical elasticity theory, Eringen’s nonlocal theory (Eringen 1972a, b, Eringen 1983) notes that the stress state at a point inside a body is regarded to be function of strains of all points in the neighbor regions....
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TL;DR: In this article, a theory of non-local elasticity is presented via the vehicles of global balance laws and the second law of thermodynamics via the use of a localized Clausius-Duhem inequality and a variational statement of Gibbsian global thermodynamics.
2,201 citations
TL;DR: In this article, a continuum theory of non-local polar bodies is developed for nonlinear micromorphic elastic solids, and the balance laws and jump conditions are given.
1,788 citations
"An exact solution for buckling anal..." refers background in this paper
...…theory for the magneto-electro-elastic materials Contrary to the constitutive equation of classical elasticity theory, Eringen’s nonlocal theory (Eringen 1972a, b, Eringen 1983) notes that the stress state at a point inside a body is regarded to be function of strains of all points in the…...
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550 citations
TL;DR: In this article, a composite material with the mixed spinel cobalt ferrite-cobalt titanate and the perovskite barium titanate as coexisting phases has been prepared.
Abstract: A eutectic composite material with the mixed spinel cobalt ferrite-cobalt titanate and the perovskite barium titanate as co-existing phases has been prepared, which shows a magnetoelectric effect due to the mechanical coupling of the piezomagnetic spinel and the piezoelectric perovskite. The maximum value of the magnetoelectric effect ΔE/ΔH obtained up till now is 5.0 × 10−2 V cm−1 Oe−1 at room temperature.
413 citations