Advances in Computational Design

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Magneto-thermo-elastic response of exponentially graded piezoelectric hollow spheres

  • Allam, M.N.M. (Department of Mathematics, Faculty of Science, Mansoura University) ;
  • Tantawy, R. (Department of Mathematics, Faculty of Science, Damietta University) ;
  • Zenkour, A.M. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
  • Received : 2018.02.09
  • Accepted : 2018.06.12
  • Published : 2018.07.25
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Abstract

This article presents a semi-analytical solution for an exponentially graded piezoelectric hollow sphere. The sphere interacts with electric displacement, elastic deformations, electric potentials, magneto-thermo-elasticity, and hygrothermal influences. The hollow sphere may be standing under both mechanical and electric potentials. Electro-magneto-elastic behavior of magnetic field vector can be described in the hollow sphere. All material, thermal and magnetic properties of hollow sphere are supposed to be graded in radial direction. A semi-analytical technique is improved to deduce all fields in which different boundary conditions for radial stress and electric potential are presented. Numerical examples for radial displacement, radial and hoop stresses, and electric potential are investigated. The influence of many parameters is studied. It is seen that the gradation of all material, thermal and magnetic properties has particular effectiveness in many applications of modern technology.

Keywords

References

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