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http://dx.doi.org/10.12989/sem.2014.50.3.403

Generalized shear deformation theory for thermo elastic analyses of the Functionally Graded Cylindrical shells  

Arefi, M. (Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan)
Publication Information
Structural Engineering and Mechanics / v.50, no.3, 2014 , pp. 403-417 More about this Journal
Abstract
The present paper addresses a general formulation for the thermo elastic analysis of a functionally graded cylindrical shell subjected to external loads. The shear deformation theory and energy method is employed for this purpose. This method presents the final relations by using a set of second order differential equations in terms of integral of material properties along the thickness direction. The proposed formulation can be considered for every distribution of material properties, whether functional or non functional. The obtained formulation can be used for manufactured materials or structures with numerical distribution of material properties which are obtained by using the experiments. The governing differential equation is applied for two well-known functionalities and some previous results are corrected with present true results.
Keywords
shear deformation theory; thermo elastic; shell; temperature; cylinder; energy;
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1 Arefi, M. and Rahimi, G.H. (2012), "Three dimensional multi field equations of a functionally graded piezoelectric thick shell with variable thickness, curvature and arbitrary nonhomogeneity", Acta Mech., 223, 63-79.   DOI   ScienceOn
2 Arefi, M. and Rahimi, G.H. (2012), "Comprehensive thermoelastic analysis of a functionally graded cylinder with different boundary conditions under internal pressure using first order shear deformation theory", Mechanika, 18(1), 5-13.
3 Arefi, M. and Rahimi, G.H. (2012), "The effect of nonhomogeneity and end supports on the thermo elastic behavior of a clamped-clamped FG cylinder under mechanical and thermal loads", Int. J. Pres. Ves. Pip., 96-97, 30-37.   DOI
4 Ghannad, M.Z., Nejad, M. and Rahimi, G.H. (2009), "Elastic solution of axisymmetric thick truncated conical shells based on first-order shear deformation theory", Mechanika, 5 (79), 13-20.
5 Jabbari, M., Sohrabpour, S. and Eslami, M.R. (2002), "Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads", Int. J. Pres. Ves. Pip., 79, 493-497.   DOI   ScienceOn
6 Jabbari, M., Bahtui, A. and Eslami, M.R. (2009), "Axisymmetric mechanical and thermal stresses in thick short length FGM cylinders". Int. J. Pres. Ves. Pip., 86(5), 296-306.   DOI   ScienceOn
7 Mirsky, I. and Hermann, G. (1958), "Axially motions of thick cylindrical shells", J. Appl. Mech. 25, 97-102.
8 Rahimi, G.H., Arefi, M. and Khoshgoftar, M.J. (2012), "Electro elastic analysis of a pressurized thickwalled functionally graded piezoelectric cylinder using the first order shear deformation theory and energy method", Mechanika, 18(3), 292-300.
9 Shao, Z.S. (2005), "Mechanical and thermal stresses of a functionally graded circular hollow cylinder with finite length", Int. J. Pres. Ves. Pip., 82, 155-163.   DOI   ScienceOn
10 Timoshenko, S.P. (1976), Strength of Materials: Part II (Advanced Theory and Problems), Van Nostrand Reinhold Co., New York.
11 Tutuncu, N. and Ozturk, M. (2001), "Exact solution for stresses in functionally graded pressure vessels", Compos. Part. B, Eng., 32, 683-686.
12 Tutuncu, N. (2007), "Stresses in thick-walled FGM cylinders with exponentially-varying", Eng. Struct., 29, 2032-2035.   DOI   ScienceOn
13 Yamanouchi, M., Koizumi, M. and Shiota, I. (1990), "Proceedings of the first international symposium on functionally gradient materials", Sendai, Japan.
14 Naghdi, P.M. and Cooper, R.M. (1956), "Propagation of elastic waves in cylindrical shells including the effects of transverse shear and rotary inertia", J. Acoust. Sci. Am., 28(1), 56-63.   DOI