Stress Analysis of Magneto Thermoelastic and Induction Magnetic Filed in FGM Hallow Sphere

Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

حسن خادمی زاده ¹ , علی قربان پور آرانی ² , محمد سالاری ³

1 - استادیار، دانشکده مکانیک، دانشگاه صنعتی اصفهان
2 - استادیار، دانشگاه کاشان
3 - دانشجو کارشناسی ارشد، دانشگاه صنعتی اصفهان

Received: 2015-10-04 Accepted : 2015-10-04 Published : 2008-03-20

Keywords: Perturbation of Magnetic Field Vector, Hollow sphere, FGM, Magnetothermoelasticity,

Abstract :

In this paper a closed form solution for one-dimensional magnetothermoelastic problem in a functionally graded material (FGM) hollow sphere placed in a uniform magnetic field and temperature field subjected to an internal pressure is obtained using the theory of magnetothermoelasticity. Hyper-geometric functions are employed to solve the governing equation. The material properties through the graded direction are assumed to be nonlinear with an exponential distribution. The nonhomogeneity of the material in the radial directions is assumed to be power-exponential. The temperature, displacement and stress fields and the perturbation of magnetic field vector are determined and compared with those of the homogeneous case. Hence, the effect of inhomogeneity on the stresses and the perturbation of magnetic field vector distributions are demonstrated. The results of this study are applicable for designing optimum FGM hollow spheres.

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