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Research Papers: Design and Analysis

Analytical Solution for the Thermopiezoelastic Behavior of a Smart Functionally Graded Material Hollow Sphere Under Radially Symmetric Loadings

[+] Author and Article Information
M. Jabbari

Assistant Professor
Department of Mechanical Engineering,
Islamic Azad University,
South Tehran Branch,
Tehran 1457815751, Iran
e-mail: mohsen.jabbari@gmail.com

A. R. Barati

Mechanical Engineering Department,
Islamic Azad University,
South Tehran Branch,
Tehran 1457815753, Iran
e-mail: barati.ahmad@gmail.com

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received April 9, 2014; final manuscript received February 1, 2015; published online May 20, 2015. Assoc. Editor: Albert E. Segall.

J. Pressure Vessel Technol 137(6), 061204 (Dec 01, 2015) (9 pages) Paper No: PVT-14-1062; doi: 10.1115/1.4029811 History: Received April 09, 2014; Revised February 01, 2015; Online May 20, 2015

An analytical study of the piezothermoelastic behavior of a functionally graded material (FGM) hollow sphere with integrated piezoelectric layers as a sensor and actuator under the effect of radially symmetric thermo-electro-mechanical loading is carried out. The material properties of the FGM layer are assumed to be graded in the radial direction according to a power law function. Governing differential equations are developed in terms of the components of the displacement field, the electric potential and the temperature of each layer of the smart FGM hollow sphere. The resulting differential equations are solved analytically. Numerical examples are given and discussed to show the significant influence of grading index of material properties and feedback gain on the mechanical–electrical responses. This will be useful for modern engineering design.

Copyright © 2015 by ASME
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Figures

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Fig. 1

Geometry of a piezo-FGM hollow sphere

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Fig. 10

Temperature distribution in the piezo-FGM hollow sphere, where m = 1

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Fig. 4

Radial stress distribution in the piezo-FGM hollow sphere with various m

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Fig. 5

Circumferential stress distribution in the piezo-FGM hollow sphere with various m

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Fig. 6

Effective stress distribution in the FGM layer with various m

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Fig. 7

Radial electrical displacement in the actuator layer with various m

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Fig. 8

Electric potential distribution in the actuator layer with various m

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Fig. 9

Electric potential distribution in the sensor layer with various m

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Fig. 11

Electric potential distribution in the sensor layer, where G = 0 and m = 1

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Fig. 12

Radial displacement distribution in the piezo-FGM hollow sphere with various G, where m = 1

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Fig. 13

Radial stress distribution in the piezo-FGM hollow sphere with various G, where m = 1

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Fig. 2

Temperature distribution in the piezo-FGM hollow sphere with various m

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Fig. 3

Radial displacement distribution in the piezo-FGM hollow sphere with various m

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Fig. 14

Circumferential stress distribution in (a) piezo-FGM hollow sphere and (b) FGM layer with various G, where m = 1

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Fig. 15

Effective stress distribution in the FGM layer with various G, where m = 1

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Fig. 16

Radial electrical displacement in the actuator layer with various G, where m = 1

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Fig. 17

Electric potential distribution in the actuator layer with various G, where m = 1

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