Temperature distribution effects on buckling behavior of smart heterogeneous nanosize plates based on nonlocal four-variable refined plate theory

Ebrahimi, Farzad; Barati, Mohammad Reza

doi:10.1080/19475411.2016.1223203

Cited by 53 publications

(15 citation statements)

References 33 publications

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“…They presented some important issues on the characteristics of CNTs and response of structures made of CNTs due to various loads. Ebrahimi and Barati [23] studied buckling results of FG nanoplate in magneto-electro-thermal environment. They studied the influence of thermal, electrical, and magnetic loads on the buckling behavior of nanoplate.…”

Section: Introductionmentioning

confidence: 99%

Transient analysis of a three-layer microbeam subjected to electric potential

Arefi

Zenkour

2017

International Journal of Smart and Nano Materials

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In this paper, free vibration, wave propagation, and bending analyses of a sandwich microbeam integrated with piezoelectric face-sheets resting on Pasternak foundation under electric potential are presented based on the strain gradient theory and Euler-Bernoulli beam theory. The material properties of core are assumed variable along the thickness direction and piezoelectric face-sheets are assumed homogeneous piezoelectric materials. A two-dimensional electric potential distribution along the axial and transverse direction is applied on the face-sheets of microbeam. Hamilton principal is used to derive governing differential equations of motion. Three behaviors of sandwich microbeam including free vibration, wave propagation, and bending analyses are studied in this paper. Some numerical results are presented to capture the effect of important parameters of the problem such as in-homogeneous index, applied voltage, parameters of foundation, and material length scales. The numerical results indicate that the effect of electric potential along the axial direction is very small rather than one along the transverse direction where initial voltage is applied. ARTICLE HISTORY

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Section: Introductionmentioning

confidence: 99%

Transient analysis of a three-layer microbeam subjected to electric potential

Arefi

Zenkour

2017

International Journal of Smart and Nano Materials

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“…where According to Eq. (10), the relation between electric field (E x , E y , E z ) and electric potential (Φ) can be obtained as [36]: Also, the relation between magnetic field (H x , H y , H z ) and magnetic potential (Υ) can be expressed from Eq. (11) as:…”

Section: Kinematic Relationsmentioning

confidence: 99%

“…Through extended Hamilton's principle, the equation of motion can be derived by Here, Π S is strain energy, Π W is the work done by external forces and Π K is kinetic energy. The virtual variation of strain energy can be written as [36]:…”

Section: Kinematic Relationsmentioning

confidence: 99%

“…In the case of smart sizedependent FGM structures, Ebrahimi and Barati [32][33][34][35] investigated size-dependent buckling and vibration analysis of functionally graded piezo-magnetic nanobeams. Most recently, Ebrahimi and Barati [36] explored temperature distribution effects on buckling behavior of smart FG nanosize plates based on nonlocal four-variable refined plate theory.…”

Section: Introductionmentioning

confidence: 99%

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Magnetic field effects on dynamic behavior of inhomogeneous thermo-piezo-electrically actuated nanoplates

Ebrahimi

Barati

2016

J Braz. Soc. Mech. Sci. Eng.

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in engineering structures during the recent years. In 1990s, in two-phase composites of piezo-electric and piezo-magnetic materials, a strong magneto-electrical coupling effect was discovered which has potential practical application in many fields [1, 2] and reported that this coupling effect cannot be found in a single-phase material. Furthermore, MEE materials show some fascinating properties such as the piezo-electric, piezo-magnetic and magneto-electric influences in which the elastic deformations may be produced directly by mechanical loading or indirectly by an application of electric or magnetic field. The mechanical behaviors of magneto-electro-elastic structures have received notable attention by many researchers in the recent years [3-7]. Functionally graded materials (FGMs) have been emerged by manufacturing a mixture of ceramic and metal with smooth and continuous variation from one surface to the other. Therefore, it is important to explore the mechanical characteristics of functionally graded materials' structures in terms of non-destructive evaluation and material characterization. Hence, FGMs have received wide applications as structural components in modern industries, such as mechanical, civil, nuclear reactors, and aerospace engineering. In the recent years, several researchers examined mechanical properties of structural elements made from magneto-electro-elastic functionally graded (MEE-FG) materials. Pan and Han [8] provided exact solution for analysis of the rectangular plates composed of functionally graded, anisotropic, and linear magneto-electroelastic materials. Furthermore, the plane stress problem of a MEE-FG beam was inspected by Huang et al. [9] using an analytical method. In another survey, Wu and Tsai [10] examined static behavior of a doubly curved MEE-FG shell employing an asymptotic approach. Kattimani and Ray [11] researched large amplitude vibration responses of MEE-FG plates.

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“…Some of researchers in recent years have analyzed mechanical behaviors of FGM nanoplates based on various plate shear deformation plate theories. (Ebrahimi and Barati 2016a, b, c, d, e, Ebrahimi et al 2016a, Ebrahimi and Hosseini 2016a.…”

Section: Introductionmentioning

confidence: 99%

Thermal buckling of FGM nanoplates subjected to linear and nonlinear varying loads on Pasternak foundation

Ebrahimi¹,

Ehyaei²,

Babaei³

2016

Advances in materials Research

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Thermo-mechanical buckling problem of functionally graded (FG) nanoplates supported by Pasternak elastic foundation subjected to linearly/non-linearly varying loadings is analyzed via the nonlocal elasticity theory. Two opposite edges of the nanoplate are subjected to the linear and nonlinear varying normal stresses. Elastic properties of nanoplate change in spatial coordinate based on a powerlaw form. Eringen's nonlocal elasticity theory is exploited to describe the size dependency of nanoplate. The equations of motion for an embedded FG nanoplate are derived by using Hamilton principle and Eringen's nonlocal elasticity theory. Navier's method is presented to explore the influences of elastic foundation parameters, various thermal environments, small scale parameter, material composition and the plate geometrical parameters on buckling characteristics of the FG nanoplate. According to the numerical results, it is revealed that the proposed modeling can provide accurate results of the FG nanoplates as compared some cases in the literature. Numerical examples show that the buckling characteristics of the FG nanoplate are related to the material composition, temperature distribution, elastic foundation parameters, nonlocality effects and the different loading conditions.

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Temperature distribution effects on buckling behavior of smart heterogeneous nanosize plates based on nonlocal four-variable refined plate theory

Cited by 53 publications

References 33 publications

Transient analysis of a three-layer microbeam subjected to electric potential

Transient analysis of a three-layer microbeam subjected to electric potential

Magnetic field effects on dynamic behavior of inhomogeneous thermo-piezo-electrically actuated nanoplates

Thermal buckling of FGM nanoplates subjected to linear and nonlinear varying loads on Pasternak foundation

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