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Two-dimensional piezothermoelastic analysis of a smart FGM hollow sphere

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Abstract

A two-dimensional analytical piezothermoelastic solution for a functionally graded material (FGM) hollow sphere with integrated piezoelectric layers as a sensor and actuator subjected to non-axisymmetric loads is carried out. A feedback gain control algorithm is used for the active control of stress and displacement of an FGM hollow sphere. 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. These equations are solved analytically using the Legendre polynomials and the system of Euler differential equations. The effects of grading index of material properties and feedback gain on the mechanical–electrical responses are demonstrated in detail.

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Authors and Affiliations

  1. Mechanical Engineering Department, Islamic Azad University, South Tehran Branch, Tehran, Iran

    A. R. Barati & M. Jabbari

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  1. A. R. Barati
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  2. M. Jabbari
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Correspondence to A. R. Barati.

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Barati, A.R., Jabbari, M. Two-dimensional piezothermoelastic analysis of a smart FGM hollow sphere. Acta Mech 226, 2195–2224 (2015). https://doi.org/10.1007/s00707-015-1304-8

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  • DOI: https://doi.org/10.1007/s00707-015-1304-8

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