Influence of magneto-electric environments on size-dependent bending results of three-layer piezomagnetic curved nanobeam based on sinusoidal shear deformation theory

Arefi, Mohammad; Zenkour, Ashraf M.

doi:10.1177/1099636217723186

Cited by 39 publications

(13 citation statements)

References 45 publications

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“…In the same manner, the shear Q stress becomes According to Eqs. (17)- (20), the two end conditions, related with the nonlocal higher-order shear and normal deformations beam theory, at each end of the nanorod are expressed as:…”

Section: Buckling Of a Nanorodmentioning

confidence: 99%

A two-unknown nonlocal shear and normal deformations theory for buckling analysis of nanorods

Zenkour

2020

J Braz. Soc. Mech. Sci. Eng.

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The present article presents a simple nonlocal two-unknown shear and normal deformation beam theory to discuss the buckling response of nanorods. The theory uses two variables only and takes under consideration the small-scale impact as well as the inclusion of both shear and normal deformations. The equilibrium equations and end conditions are gained utilizing the principle of virtual work. Different end conditions like pinned, clamped and free are studied. The critical buckling loads are obtained for axially loaded nanorods with different end conditions. The significant of small-scale, shear and normal deformation parameters are investigated. Some validation examples are presented, and the sensitivity of all parameters on the critical and other buckling loads of nanorods may be observed.

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Section: Buckling Of a Nanorodmentioning

confidence: 99%

A two-unknown nonlocal shear and normal deformations theory for buckling analysis of nanorods

Zenkour

2020

J Braz. Soc. Mech. Sci. Eng.

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“…Areﬁ and Zenkour 20,21 studied electro-thermo-mechanical transient analysis of nanosandwich plates consisting of a Kelvin–Voigt viscoelastic core and two integrated piezoelectric face sheets resting on a visco-Pasternak foundation. Nonlocal elasticity and two-variable sinusoidal shear deformation plate theory was used for derivation of governing equations.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal vibration analysis of the three-layered FG nanoplates subjected to applied electric potential considering thickness stretching effect

Arefi

Arani

2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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Comprehensive nonlocal piezoelasticity relations are developed in this paper for a sandwich functionally graded nanoplate subjected to applied electric potential based on higher-order shear and normal deformation theory. To account thickness stretching effect, the higher-order shear and normal deformation theory is developed. Based on this theory, the transverse deflection is decomposed into bending, shear and stretching portions in which the third term is reflected variation of transverse deflection along the thickness direction. Size dependency is accounted in governing equations based on nonlocal elasticity theory. The sandwich nanoplate is made of a functionally graded core integrated with two piezoelectric layers. Distribution of material properties are assumed according to the power-law function in the thickness direction. The Hamilton’s principle is used to derive governing equations of motion. Navier’s technique is implemented to solve partial differential equation of motion. Accuracy and efficiency of the presented technique are verified by a comparison between obtained results and existing results in literature for two cases including and excluding thickness stretching effect. The comparison between the results with and without thickness stretching effect can justify necessity of present work. Large parametric analysis is organized to investigate effect of significant parameters such as external applied voltage, nonlocal parameter, non-homogeneous index, stretching effect, length-to-thickness, length-to-width and core-to-face sheet thickness ratios on the vibrational behavior of the system. As an important result of this study, one can conclude that accounting thickness stretching effect leads to decrease of natural frequencies in comparison with cases disregards thickness stretching.

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“…With the rapid development of engineering construction, various composite materials have been increasingly used such as the classic laminated composite and sandwich structures [1][2][3][4][5][6][7] which have advantages of high stiffness and strength-to-weight ratios and long fatigue life. However, classic laminated composites and sandwich structure may produce great interlaminar stresses between layers, when it is deformed.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Parametric Dynamics of Bidirectional Functionally Graded Beams

Lü¹,

Chen

2020

Shock and Vibration

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Influence of magneto-electric environments on size-dependent bending results of three-layer piezomagnetic curved nanobeam based on sinusoidal shear deformation theory

Cited by 39 publications

References 45 publications

A two-unknown nonlocal shear and normal deformations theory for buckling analysis of nanorods

A two-unknown nonlocal shear and normal deformations theory for buckling analysis of nanorods

Nonlocal vibration analysis of the three-layered FG nanoplates subjected to applied electric potential considering thickness stretching effect

Nonlinear Parametric Dynamics of Bidirectional Functionally Graded Beams

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