Browse > Article
http://dx.doi.org/10.12989/scs.2014.16.1.077

Magneto-thermo-elastic analysis of a functionally graded conical shell  

Mehditabar, A. (Mechanical Engineering Department, Babol University of Technology)
Alashti, R. Akbari (Mechanical Engineering Department, Babol University of Technology)
Pashaei, M.H. (Mechanical Engineering Department, Babol University of Technology)
Publication Information
Steel and Composite Structures / v.16, no.1, 2014 , pp. 77-96 More about this Journal
Abstract
In this paper, magneto-thermo-elastic problem of a thick truncated conical shell immersed in a uniform magnetic field and subjected to internal pressure is investigated. Material properties of the shell including the elastic modulus, magnetic permeability, coefficients of thermal expansion and conduction are assumed to be isotropic and graded through the thickness obeying the simple power law distribution, while the poison's ratio is assumed to be constant. The temperature distribution is assumed to be a function of the thickness direction. Governing equations of the truncated conical shell are derived in terms of components of displacement and thermal fields and discretised with the help of differential quadrature (DQ) method. Results are obtained for different values of power law index of material properties and effects of thermal load on displacement, stress, temperature and magnetic fields are studied. Results of the present method are compared with those of the finite element method.
Keywords
Magneto-thermo-elastic; functionally graded material; truncated conical shell;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Aghdam, M.M., Shahmansouri, N. and Bigdeli, K. (2011), "Bending analysis of moderately thick functionally graded conical panels", Compos. Struct., 93(5), 1376-1384.   DOI
2 Alibeigloo, A. and Nouri, V. (2010), "Static analysis of functionally graded cylindrical shell with piezoelectric layers using differential quadrature method", Compos. Struct., 92(8), 1775-1785.   DOI
3 Chandrashekhara, K. and Kumar, B.S. (1993), "Static analysis of a thick laminated circular cylindrical shell subjected to axisymmetric load", Compos. Struct., 23(1), 1-9.   DOI
4 Dai, H.L., Fu, Y.M. and Dong, Z.M. (2006), "Exact solutions for functionally graded pressure vessels in a uniform magnetic field", Int. J. Solid. Struct., 43(18-19), 5570-5580.   DOI   ScienceOn
5 Dai, H.L., Yang, L. and Zheng, H.Y. (2011), "Magnetothermoelastic analysis of functionally graded hollow spherical structures under thermal and mechanical loads", Solid State Sci., 13(2), 372-378.   DOI
6 Eslami, M.R., Babaei, M.H. and Poultangari, R. (2005), "Thermal and mechanical stresses in a functionally graded thick sphere", Int. J. Pres. Ves. Pip., 82(7), 522-527.   DOI   ScienceOn
7 Ghannad, M., Zamani Nejad, M., Rahimi, G.H. and Sabouri, H. (2012), "Elastic analysis of pressurized thick truncated conical shells made of functionally graded materials", Struct. Eng. Mech., Int. J., 43(1), 105-126.   DOI
8 John, K. (1941), Electromagnetics, McGraw-Hill Inc., New York, USA.
9 Khdeir, A.A. (1996), "Thermoelastic analysis of cross-ply laminated circular cylindrical shells", Int. J. Solids Struct., 33(27), 4007-4017.   DOI
10 Lee, Z.Y. (2009), "Magnetothermoelastic analysis of multilayered conical shells subjected to magnetic and vapor fields", International Journal of Thermal Sciences, 48, 50-72   DOI
11 Patel, B.P., Shukla, K.K. and Nath, Y. (2005), "Thermal postbuckling analysis of laminated composite cross-ply truncated circular conical shells", Compos. Struct., 71(1), 101-114.   DOI
12 Shahani, A.R. and Nabavi, S.M. (2007), "Analytical solution of the quasi-static thermoelasticity problem in a pressurized thick-walled cylinder subjected to trnsient thermal loading", Appl. Math. Model., 31(9), 1807-1818.   DOI
13 Shu, C. (2000), Differential Quadrature and its Application in Engineering, Springer-Verlag, London.
14 Sobhani Aragh, B. and Yas, M.H. (2010), "Three-dimensional analysis of thermal stresses in four-parameter continuous grading fiber reinforced cylindrical panels", Int. J. Mech. Sci., 52(8), 1047-1063.   DOI
15 Sofiyev, A.H. and Kuruoglu, N. (2011), "The non-linear buckling analysis of cross-ply laminated orthotropic truncated conical shells", Compos. Struct., 93(11), 3006-3012.   DOI
16 Sofiyev, A.H. (2012), "The non-linear vibration of FGM truncated conical shells", Compos. Struct., 94(7), 2237-2245.   DOI
17 Strang, G. (1986), Introduction to Applied Mathematics, Wellesley-Cambridge Press, Wellesley, MA, USA.
18 Zhao, X. and Lie,w K.M. (2011), "Free vibration analysis of functionally graded conical shell panels by a meshless method", Compos. Struct., 93(2), 694-664.
19 Xing, Y. and Liu, B. (2010), "A differential quadrature analysis of dynamic and quasi-static magneto-thermo-elastic stresses in a conducting rectangular plate subjected to an arbitrary variation of magnetic field", Int. J. Eng. Sci., 48(12), 1944-1960.   DOI
20 Ying, J. and Wang, H.M. (2010), "Axisymmetric thermoelastic analysis in a finite hollow cylinder due to nonuniform thermal shock", Int. J. Pres. Ves. Pip., 87(12), 714-720.   DOI
21 Zielnica, J. (2012), "Buckling and stability of elastic-plastic sandwich conical shells", Steel Compos. Struct., 13(2),157-169.   DOI