Magneto-Thermo-Elastic Stresses and Perturbation of the Magnetic Field Vector in an EGM Rotating Disk
محورهای موضوعی : Engineering
A Ghorbanpour Arani
1
(
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
)
M Azamia
2
(
Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
)
H Sepiani
3
(
Department of Mechanical Engineering, Faculty of Engineering, University of Tehran
)
کلید واژه: Rotating disk, EGM, Magneto-thermo-elastic, Perturbation of Magnetic Field Vector,
چکیده مقاله :
In this article, the magneto-thermo-elastic problem of exponentially graded material (EGM) hollow rotating disk placed in uniform magnetic and temperature fields is considered. Exact solutions for stresses and perturbations of the magnetic field vector in EGM hollow rotating disk are determined using the infinitesimal theory of magneto-thermo-elasticity under plane stress. The material properties, except Poisson’s ratio, are assumed to depend on variable of the radius and they are expressed as exponential functions of radius. The direct method is used to solve the heat conduction and Hyper-geometric functions are employed to solve Navier equation. The temperature, displacement, and stress fields and the perturbation of the magnetic field vector are determined and compared with those of the homogeneous case. Hence, the effect of in-homogeneity on the stresses and the perturbation of magnetic field vector distribution are demonstrated. The results of this study are applicable for designing optimum EGM hollow rotating disk.
[1] Suresh S., Mortensen A., 1998, Fundamentals of functionally graded materials, IOM Communications Limited, London, UK.
[2] Lutz M.P., Zimmerman R.W., 1996, Thermal stresses and effective thermal expansion coefficient of a functionally graded sphere, Journal of Thermal Stresses 19:39-54.
[3] Zimmerman R.W., Lutz M.P., 1999, Thermal stresses and effective thermal expansion in an uniformly heated functionally graded cylinder, Journal of Thermal Stresses 22: 177-188.
[4] Obata Y., Noda N., 1994, Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material, Journal of Thermal Stresses 17: 471-487.
[5] Eslami M.R., Babaei M.H., Poultangari R., 2005, Thermal and mechanical stresses in a functionally graded thick sphere, International Journal of Pressure Vessels and Piping 82: 522-527.
[6] Dai H.L., Fu Y.M., 2007, Magnetothermoelastic interaction in hollow structures of functionally graded material subjected to mechanical loads, International Journal of Pressure Vessels and Piping 84: 132-138.
[7] Hosseini Kordkheili S.A., Naghdabadi R., 2007, Thermoelastic analysis of a functionally graded rotating disk, Composite Structures 79: 508-516.
[8] Ghorbanpour A., Salari M., Khademizadeh H., Arefmanesh A., 2008, Magnetothermoelastic transient response of a functionally graded thick hollow sphere subjected to magnetic and thermoelastic fields, Archive of Applied Mechanics 79: 481-497.
[9] Ghorbanpour A., Salari M., Khademizadeh H., Arefmanesh A., 2010, Magnetothermoelastic stress and perturbation of magnetic field vector in a functionally graded hollow sphere, Archive of Applied Mechanics 80: 189-200.
[10] Khoshgoftar M.J., Ghorbanpour A., Arefi M., 2009, Thermoelastic analysis of a thick walled cylinder made of functionally graded piezoelectric material, Smart Materials and Structures 18: 1-8.
[11] Kraus J.D., 1984, Electromagnetic, McGraw-Hill, New York.
[12] Dai H.L., Wang X., 2004, Dynamic responses of piezoelectric hollow cylinders in an axial magnetic field, International Journal of Solids and Structures 41: 5231-5246.
[13] Seaborn J.B., 1991, Hypergeometric Functions and Their Applications, Springer, New York.
