Closed Form Solution for Electro-Magneto-Thermo-Elastic Behaviour of Double-Layered Composite Cylinder
الموضوعات :
1 - Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Islamic Republic of Iran
2 - Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Islamic Republic of Iran
الکلمات المفتاحية: Closed form solution, Electromagnetothermoelastic, Double-walled cylinder, Homogeneous interlayer, FGPM outer layer,
ملخص المقالة :
Electro-magneto-thermo-elastic response of a thick double-layered cylinder made from a homogeneous interlayer and a functionally graded piezoelectric material (FGPM) outer layer is investigated. Material properties of the FGPM layer vary along radius based on the power law distribution. The vessel is subjected to an internal pressure, an induced electric potential, a uniform magnetic field and a temperature gradient. Stresses and radial displacement are studied for different material in-homogeneity parameters in the FGPM layer. It has been shown that the material in-homogeneity parameters significantly affect the stress distribution in both layers. Therefore by selecting a suitable material parameter one can control stress distribution in both homogeneous and FGPM layers. It has been found that under electro-magneto-thermo-mechanical loading minimum effective stress can be achieved by selecting in the FGPM layer.
[1] Nie G.J., Batra R.C., 2010, Material tailoring and analysis of functionally graded isotropic and incompressible linear elastic hollow cylinders, Composite Structures 92: 265-274.
[2] Babaei M.H., Chen Z.T., 2008, Analytical solution for the electromechanical behaviour of a rotating functionally graded piezoelectric hollow cylinder, Archive of Applied Mechanics 78: 489-500.
[3] Saadatfar M., Razavi A.S., 2009, Piezoelectric hollow cylinder with thermal gradient, Journal of Mechanical Science and Technology 23: 45-53.
[4] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., 2010, Effect of material inhomogeneity on electro-thermo-mechanical behaviors of functionally graded piezoelectric rotating shaft, Applied Mathematical Modelling 36: 2771-2789.
[5] Ghorbanpour Arani A., Loghman A., Abdollahitaheri A., Atabakhshian V., 2010, Electrothermomechanical behavior of a radially polarized rotating functionally graded piezoelectric cylinder, Journal of Mechanics of Materials and Structures 6(6): 869-884.
[6] Haghpanah Jahromi B., Ajdari A., Nayeb-Hashemi H., Vaziri A., 2010, Autofrettage of layered and functionally graded metal–ceramic composite vessels, Composite Structures 92( 8): 1813-1822.
[7] Mithchell J.A., Reddy J.N., 1995, A study of embedded piezoelectric layers in composite cylinders, Journal of Applied Mechanics 62:166-173.
[8] Wang H.M., Ding H.J., Chen Y.M., 2005, Dynamic solution of a multilayered orthotropic piezoelectric hollow cylinder for axisymmetric plane strain problems, International Journal of Solids and Structures 42:85-102.
[9] Yin X.C., Yue Z.Q., 2002, Transient plane-strain response of multilayered elastic cylinders to axisymmetric impulse, Journal of Applied Mechanics 69: 825-835.
[10] Dai H.L., Fu Y.M., 2007, Magnetothermoelastic interactions in hollow structures of functionally graded material subjected to mechanical loads, International Journal of Pressure Vessels and Piping 84(3): 132-138.
[11] Dai H.L., Rao Y.N., 2013, Dynamic thermoelastic behavior of a double-layered hollow cylinder with an FGM layer, Journal of Thermal Stresses 36( 9): 962-984.
[12] Loghman A., Parsa H., 2014, Exact solution for magneto-thermo-elastic behaviour of double-walled cylinder made of an inner FGM and an outer homogeneous layer, International Journal of Mechanical Sciences 88: 93-99.
[13] Hosseini S.M., Akhlaghi M., Shakeri M., 2007, Transient heat conduction in functionally graded thick hollow cylinders by analytical method, International Journal of Heat and Mass Transfer 43: 669-675.
[14] Loghman A., Ghorbanpour Arani A., Amir S., Vajedi S., 2010, Magnetothermoelastic creep analysis of functionally graded cylinders, International Journal of Pressure Vessel and Piping 87: 389-395.
[15] Dai H.L., Hong L., Fu Y.M., Xiao X., 2010, Analytical solution for electromagnetothermoelastic behaviors of a functionally graded piezoelectric hollow cylinder, Applied Mathematical Modelling 34(2): 343-357.