An efficient finite element model for static and dynamic analyses of functionally graded piezoelectric beams

Lezgy-Nazargah, M.; Vidal, Philippe; Polit, O.

doi:10.1016/j.compstruct.2013.04.010

Cited by 76 publications

(32 citation statements)

References 40 publications

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“…Komijani et al [25] studied free vibration of FG piezoelectric beams with rectangular cross sections under in-plane thermal and electrical excitations in pre/postbuckling regimes. Lezgy-Nazargah et al [26] suggested an efficient three-nodded beam element model for static, free vibration and dynamic response of FGP material beams. Large amplitude free flexural vibration of shear deformable FG beams with surface-bonded piezoelectric layers subjected to thermo-piezoelectric loadings with random material properties presented by Shegokar and Lal [27].…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium

Ebrahimi

Barati

2016

J Braz. Soc. Mech. Sci. Eng.

119

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to suit the functionality of structures. The gradually composition variations of the material constituents from one surface to another provide a proper solution to the problem of induced transverse shear stresses due to the two bonded dissimilar materials with high difference in material properties. Also, due to containing outstanding mechanical properties, FGMs are appropriate for design of engineering structures [1][2][3][4][5][6][7].In recent years, FGMs have been extensively utilized in micro-electromechanical and nano-electromechanical systems and devices [8]. On the other hand, size-dependent structures such as micro and nano scale beams are key components in many systems. Therefore, mechanical analysis of micro/nano beams has received striking attention from research communities. The classical continuum theory which is extensively used in mechanical analysis of macroscopic structures should be extended to consider the size effect on mechanical behaviors of micro/nano structures. Therefore, this can be attained by the nonlocal elasticity theory proposed by Eringen in which a stress state at a reference point is suggested as a function of the strain of all neighbor points. It is noted that some studies are published on mechanical behavior of size-dependent FG beams. Among them, Simsek and Yurtcu [9] investigated bending and buckling behavior of size-dependent FG nanobeam using analytical method and Timoshenko and EulerBernoulli beam models. Also, the static and stability behavior of FG nanobeams based on nonlocal continuum theory studied by Eltaher et al. [10]. Nonlinear free vibration of functionally graded nanobeams within the framework of Euler-Bernoulli beam model including the von Kármán geometric nonlinearity studied by Sharabiani and Yazdi [11]. Also, forced vibration analysis of FG nanobeams based on the nonlocal elasticity theory and using Navier method for various shear deformation theories studied by Abstract This paper investigates buckling response of higher-order shear deformable nanobeams made of functionally graded piezoelectric (FGP) materials embedded in an elastic foundation. Material properties of FGP nanobeam change continuously in thickness direction based on power-law model. To capture small size effects, Eringen's nonlocal elasticity theory is adopted. Employing Hamilton's principle, the nonlocal governing equations of FGP nanobeams embedded in elastic foundation are obtained. To predict buckling behavior of embedded FGP nanobeams, the Navier-type analytical solution is applied to solve the governing equations. Numerical results demonstrate the influences of various parameters such as elastic foundation, external electric voltage, power-law index, nonlocal parameter and slenderness ratio on the buckling loads of sizedependent FGP nanobeams.

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Section: Introductionmentioning

confidence: 99%

Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium

Ebrahimi

Barati

2016

J Braz. Soc. Mech. Sci. Eng.

119

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“…The results were validated through interesting experiments. Lezgy-Nazargah et al [18] carried out static and dynamic analyses on piezoelectric beams by using a refined sinus model. The results have been found in good agreement with the reference solutions for various electrical and mechanical constrained conditions.…”

Section: Introductionmentioning

confidence: 99%

Static analyses of FGM beams by various theories and finite elements

Filippi

Carrera

Zenkour

2015

Composites Part B: Engineering

133

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“…For the piezoelectric actuators made of di erent piezoelectric layers or identical piezoelectric layers with di erent poling directions, high stress concentrations usually appear in the layer interfaces under mechanical or electrical loading [14]. These stress concentrations lead to the initiation and propagation of micro-cracks near the interfaces of two bonded piezoelectric layers [15]. The lifetime and the reliability of these structures signi cantly reduce with the aforementioned drawbacks.…”

Section: Introductionmentioning

confidence: 99%

“…Doroushi et al [13] studied the free and forced vibration characteristics of an FGP beam under thermo-electro-mechanical loads using the higher-order shear deformation theory. Lezgy-Nazargah et al [15] proposed an e cient nite element model for static and dynamic analyses of FGP beams. They used an e cient three-nodded beam element which was based on a re ned sinus model.…”

Section: Introductionmentioning

confidence: 99%

A three-dimensional Peano series solution for the vibration of functionally graded piezoelectric laminates in cylindrical bending

Lezgy-Nazargah

2016

Scientia Iranica

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Abstract. The available three-dimensional (3D) solutions reported for the analysis of Functionally Graded Piezoelectric (FGP) laminates are based on this simplifying assumption that the FGP layer consists of a number of homogeneous sub-layers. The accuracy of these formulations not only is dependent on the number of sub-layers, but also leads to inaccurate results in the prediction of higher natural frequencies of the FGP laminates. In the present paper, a 3D Peano series solution is developed for the cylindrical bending vibration of the FGP laminates. This novel formulation exactly satis es the equations of motion, the charge equation, and the boundary and interface conditions of the continuously nonhomogeneous piezoelectric layers. The obtained solution is exact because no a priori assumption for the displacement components and the electric potential along the thickness direction of FGP layers is introduced. The in uences of the di erent functionally gradient material properties and di erent electric boundary conditions on the natural frequencies and mode shapes of the FGP laminate have also been studied through examples. The present solution and its obtained numerical results can be employed to assess the accuracy of di erent FGP laminated beam/plate theories. It can also be used for FGP vibration behavior comprehension purposes.

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An efficient finite element model for static and dynamic analyses of functionally graded piezoelectric beams

Abstract: International audienceno abstrac

Cited by 76 publications

References 40 publications

Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium

Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium

Static analyses of FGM beams by various theories and finite elements

A three-dimensional Peano series solution for the vibration of functionally graded piezoelectric laminates in cylindrical bending

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