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  Volume 3, Number 3, July 2018, pages 303-318

Magneto-thermo-elastic response of exponentially graded piezoelectric hollow spheres
M.N.M. Allam, R. Tantawy and A.M. Zenkour

    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.
Key Words
    exponentially graded material; semi-analytical technique; perturbation of magnetic field; hygrothermal effect; piezoelectric materials
M.N.M. Allam: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
R. Tantawy: Department of Mathematics, Faculty of Science, Damietta University, Damietta 34517, Egypt
A.M. Zenkour: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt

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