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Semi-empirical and efficient solutions for FGPM hollow spheres in hygrothermal environment

  • Structural Engineering
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Abstract

This paper presents semi-analytical solutions for functionally graded piezoelectric hollow spheres. The hollow sphere is subjected to pressure on the boundary surface, electric potentials difference between the outer and inner surfaces, and uniform distribution of hygrothermal effect. It is assumed that the material properties of the sphere are graded in the radial direction according to a power law distribution of the volume fraction of the constituents. Some cases of boundary conditions are presented for stresses, electric potentials and displacement. Finally, numerical results for radial displacement, electric potential and stresses are carried out and discussed. The effects of different parameters are investigated. It can be concluded that the gradient of the material properties have particular influence in modern engineering design.

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Authors and Affiliations

  1. Dept. of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

    M. N. M. Allam

  2. Dept. of Mathematics, Faculty of Science, Damietta University, Damietta, 34517, Egypt

    R. Tantawy

  3. Dept. of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    A. M. Zenkour

  4. Dept. of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh, 33516, Egypt

    A. M. Zenkour

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  1. M. N. M. Allam
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  2. R. Tantawy
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  3. A. M. Zenkour
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Correspondence to A. M. Zenkour.

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Allam, M.N.M., Tantawy, R. & Zenkour, A.M. Semi-empirical and efficient solutions for FGPM hollow spheres in hygrothermal environment. KSCE J Civ Eng 20, 1958–1965 (2016). https://doi.org/10.1007/s12205-015-0057-1

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  • DOI: https://doi.org/10.1007/s12205-015-0057-1

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