Analysis on Centrifugal Load Effect in FG Hollow Sphere Subjected to Magnetic Field

الموضوعات :

S.M.R Khalili ¹ (Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, South Tehran Branch-Faculty of Engineering, Kingston University)
A.H Mohazzab ² (Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, South Tehran Branch)
M Jabbari ³ (Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, South Tehran Branch)

تاريخ الإرسال : 16 الأحد , رمضان, 1430 تاريخ التأكيد : 27 الإثنين , ذو الحجة, 1430 تاريخ الإصدار : 13 الأربعاء , محرم, 1431

الکلمات المفتاحية: magnetic field, Centrifugal load, FG, Hollow cylinder,

ملخص المقالة :

This paper presents the effect of centrifugal load in functionally graded (FG) hollow sphere subjected to uniform magnetic field. Analytical solution for stresses and perturbation of the magnetic field vector are determined using the direct method and the power series method. The material stiffness, the magnetic permeability and the density vary continuously across the thickness direction according to the power law functions of radial directions. Magnetic field results in decreasing the radial displacement, the radial and shear stresses due to centrifugal load and has a negligible effect on circumferential displacement and also small effect compared with the other quantities on the circumferential stress due to centrifugal load. Increasing the angular velocity results in increasing the all above quantities due to magnetic field. With increasing the power law indices the radial displacement, the shear and circumferential stresses due to centrifugal load and magnetic field all are decreased and the radial stress due to centrifugal load and magnetic field increased.

المصادر:

[1] Lutz M.P., Zimmerman R.W., 1996, Thermal stresses and effective thermal expansion coefficient of a functionally gradient sphere, Journal of Thermal Stresses 19: 39-54.

[2] Tanigawa Y., Morishita H., Ogaki S., 1999, Derivation of systems of fundamental equations for a three-dimensional thermoelastic field with nonhomogonous material properties and its application to a semi infinite body, Journal of Thermal Stresses 22: 689-711.

[3] Eslami M.R., Babai M.H., Poultangari R., 2005, Thermal and mechanical stresses in a functionally graded thick sphere, International Journal of Pressure Vessel and Piping 82: 522-527.

[4] Poultangari R., Jabbari M., Eslami M.R., 2008, Functionally graded hollow spheres under non-axisymmetric thermo-mechanical loads, International Journal of Pressure Vessel and Piping 85: 295-305.

[5] Lee Z.Y., 2009, Magnetothermoelastic analysis of multilayered conical shells subjected to magnetic and vapor fields, Journal of Thermal Sciences 48(1): 50-72.

[6] Dai H.L., Fu Y.M., 2007, Magnetothermoelastic interactions in hollow structures of functionally graded material subjected to mechanical loads, International Journal of Pressure Vessel and Piping 84(3): 132-138.

[7] Wang X., Dong K., 2006, Magnetothermodynamic stress and perturbation of magnetic field vector in a non-homogeneous thermoelastic cylinder, European Journal of Mechanics A/Solids 25(1): 98-109.

[8] Dai H.L., Wang X., 2006, The dynamic response and perturbation of magnetic field vector of orthotropic cylinders under various shock loads, International Journal of Pressure Vessel and Piping 83(1): 55-62.

[9] Misra S.C., Samanta S.C., Chakrabarti A.K., 1992, Transient magnetothermoelastic waves in a viscoelastic half-space produced by ramp-type heating of its surface, Computers and Structures 43(5): 951-957.

[10] Massalas, C.V., 1991, A note on magnetothermoelastic interactions, Journal of Engineering Science 29(10): 1217-1229.

[11] Misra J.C., Samanta S.C., Chakrabarti A.K., Misra S.C., 1991, Magnetothermoelastic interaction in an infinite elastic continuum with a cylindrical hole subjected to ramp-type heating, Journal of Engineering Science 29(12): 1505-1514.

[12] Paul H.S., Narasimhan R., 1987, Magnetothermoelastic stress waves in a circular cylinder, Journal of Engineering Science 25(4): 413-425.

[13] Maruszewsk B., 1981, Dynamical magnetothermoelastic problem in cicular cylinders-I: Basic equations, Journal of Engineering Science 19(9): 1233-1240.

[14] Chen W.Q., Lee K.Y., 2003, Alternative state space formulations magnetoelectric thermoelasticity with transverse isotropy and the application to bending analysis of nonhomogeneous plates, International Journal of Solids and Structures 40: 5689-5705.

[15] Tianhu H., Yapeng S., Xiaogeng T., 2004, A two-dimensional generalized thermal shock problem for a half-space in electromagneto-thermoelasticit, Journal of Engineering Science 42: 809-823.

[16] Sharma J.N., Pal M., 2004, Rayleigh-Lamb waves in magnetothermoelastic homogeneous isotropic plate, Journal of Engineering Science 42: 137-155.

[17] Reddy J.N., Chin C.D., 1998, Thermo mechanical analysis of functionally graded cylinders and plates, Journal of Thermal Stresses 21(6): 593-626.

[18] Ootao Y., Tanigawa Y., 1999, Three-dimensional transient thermal stress of functionally graded rectangular plate due to partial heating, Journal of Thermal Stresses 22: 35-55.

[19] Ruhi M., Angoshtari A., Naghdabadi R., 2005, Thermo elastic analysis of thick-walled finite-length cylinders of functionally graded materials, Journal of Thermal Stresses 28: 391-408.

[20] Bayat M., Saleem M., Sahari B.B., Hamouda A.M.S., Mahdi M., 2008, On the stress analysis of functionally graded gear wheel with variable thickness, International Journal of Computer Methods Engineering Sciences Mechanics 9(2): 121-137.

[21] Jabbari M., Sohrabpour S., Eslami M.R., 2003, General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads, Journal of Applied Mechanics 70: 111-118.

[22] Bahtui A., Eslami M.R., 2007, Coupled thermoelasticity of functionally graded cylindrical shell, Mechanics Research Communications, 34: 1-18.