Elastic analysis of exponentially graded piezoelectric cylindrical structures as sensors and actuators

Wang, H. M.

doi:10.1007/s12206-012-0904-7

Cited by 3 publications

(1 citation statement)

References 25 publications

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“…An analytical solution was presented for two types of piezoelectric actuators under shearing load by Taotao and Zhifei (2010a). A 1D exact solution was presented by Wang (2011, 2012), using the plane elasticity theory (PET) for FGPM and sandwich cylinders (three layers) with an FGP core, respectively. In this article, changes in properties effects were studied on the electro-elastic behavior of the sandwich cylinder.…”

Section: Introductionmentioning

confidence: 99%

Electro-elastic analysis of functionally graded piezoelectric variable thickness cylindrical shells using a first-order electric potential theory and perturbation technique

Yaghoobi

Ghannad

2020

Journal of Intelligent Material Systems and Structures

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In this research, an analytical solution is presented for the functionally graded piezoelectric cylindrical variable wall thickness that is subjected to mechanical and electrical loading. The non-homogeneous distribution of materials is considered as a power function. The first-order electric potential theory, first-order shear deformation theory, and the energy method are used for extracting the system of governing equations. The solution is accomplished using the matched asymptotic expansion method of the perturbation technique. The effects of non-homogeneous properties on the electromechanical are discussed. Since the intensity of variations in the distribution of properties in functionally graded piezoelectric cylinders can be changed using non-homogeneity constant, the electromechanical behavior of the cylinder can be changed by non-homogeneity constant. By reducing the electric or displacement field in functionally graded piezoelectric cylinders, de-polarization or loss of piezoelectric properties may be averted. Results indicate that non-homogeneity constant has a significant effect on the electromechanical behavior. However, in some cases, the effects of non-homogeneity constant may be neglected. Comparing these results with those predicted by the plane elasticity theory and finite element method shows good agreement. In fact, the present solution can be considered as an objective function to optimize the properties and behavior.

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Section: Introductionmentioning

confidence: 99%

Electro-elastic analysis of functionally graded piezoelectric variable thickness cylindrical shells using a first-order electric potential theory and perturbation technique

Yaghoobi

Ghannad

2020

Journal of Intelligent Material Systems and Structures

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Electro-elastic analysis of fiber-reinforced multilayered cylindrical composites with integrated piezoelectric actuators

Wang

2013

Arch Appl Mech

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Analytical analysis for non-homogeneous two-layer functionally graded material

Dastjerdi

Jabbari

2022

Nonlinear Engineering

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In this study, the nonlinear analytical analysis of a two-layer geometry made of functionally graded materials (FGMs) is examined. FGMs can be used in various engineering applications, such as building materials in civil engineering, due to the advantages of smoothly varying properties. The equations of stresses and displacements in the radial and circumferential directions (r, θ ) have been found by extracting the governing equations and defining them in the form of power-exponential functions. In the present paper, modulus of elasticity and heat conductivity coefficient (except for Poisson’s coefficient) are assumed to be expressed by power-exponential functions in radial and circumferential coordinates. The temperature distribution is also considered as a function of radius (r) and angle (θ). The analysis is implemented based on the theory of small elastic deformations and with the assumption of a very large length in plane strain mode. To analyze the governing equations, first, the heat transfer equations are obtained, and then the Navier’s equations are derived by combining the stress–strain, strain–displacement, and stress equilibrium equations. Then, the displacement equations and stress equations are obtained by solving the Navier’s equations. A direct method is presented to solve these equations analytically.

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Elastic analysis of exponentially graded piezoelectric cylindrical structures as sensors and actuators

Cited by 3 publications

References 25 publications

Electro-elastic analysis of functionally graded piezoelectric variable thickness cylindrical shells using a first-order electric potential theory and perturbation technique

Electro-elastic analysis of functionally graded piezoelectric variable thickness cylindrical shells using a first-order electric potential theory and perturbation technique

Electro-elastic analysis of fiber-reinforced multilayered cylindrical composites with integrated piezoelectric actuators

Analytical analysis for non-homogeneous two-layer functionally graded material

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