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http://dx.doi.org/10.12989/sem.2008.29.5.551

Exact solution for asymmetric transient thermal and mechanical stresses in FGM hollow cylinders with heat source  

Jabbari, M. (Postgraduate School, Tehran South Branch, Azad University)
Vaghari, A.R. (Postgraduate School, Tehran South Branch, Azad University)
Bahtui, A. (Department of System Engineering, Brunel University)
Eslami, M.R. (Distinguished Center of Thermoelasticity, Department of Mechanical Engineering, Amirkabir University of Technology)
Publication Information
Structural Engineering and Mechanics / v.29, no.5, 2008 , pp. 551-565 More about this Journal
Abstract
Transient solution of asymmetric mechanical and thermal stresses for hollow cylinders made of functionally graded material is presented. Temperature distribution, as function of radial and circumferential directions and time, is analytically obtained, using the method of separation of variables and generalized Bessel function. A direct method is used to solve the Navier equations, using the Euler equation and complex Fourier series.
Keywords
transient; thermoelasticity; functionally graded material; hollow cylinder;
Citations & Related Records

Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 3
연도 인용수 순위
1 Kim, K.-S. and Noda, N. (2002), 'Green's function approach to unsteady thermal stresses in an infinite hollow cylinder of functionally graded material', Acta Mech., 156, 145-1161   DOI   ScienceOn
2 Rice, R.G. and Do, D.D. (1995), Applied Mathematics and Modeling for Chemical Engineering, John Wiley & Sons, 131-132
3 Yang, Y.C., Wang, T.S. and Chen, C.K. (1986), 'Thermoelastic transient response of an infinitely long annular cylinder', J. Therm. Stresses, 9(1), 19-30   DOI
4 Ashida, F. and Noda, N. (1995), 'Transient thermoelasticity in a transversely isotropic infinite cylinder containing a flat circular rigid inclusion', A Hen/Transactions of the Japan Society of Mechanical Engineers, 61(A582), 402-408 Language: Japanese   DOI
5 Chen, C. and Awaji, H. (2003), 'Transient and residual stresses in a hollow cylinder of functionally graded materials ideo', Mater. Sci. Forum, No. 423-425, 665-670
6 Yee, K.C. and Moon, T.J. (2002), 'Plane thermal stress analysis of an orthotropic cylinder subjected to an arbitrary, transient, asymmetric temperature distribution', J. Appl. Mech., 69(5), 632-640   DOI   ScienceOn
7 Sugano, Y., Kataoka, S. and Tanaka, K. (1993), 'Analysis of transient thermal stresses in a hollow circular cylinder of functionally gradient material with temperature-dependent material properties', A Hen/Transactions of the Japan Society of Mechanical Engineers, 59(A562), 1505-1513, Language: Japanese   DOI
8 The MathWorks, Inc. MATLAB and Simulink. http://www.mathworks.com, 1994-2008
9 Bahtui, A. and Eslami, M.R. (2005), 'Coupled thermoelasticity of functionally graded cylindrical shells', To be appeared in Mechanics Research Communications
10 Jane, K.C. and Lee, Z.Y. (1999), 'Thermoelastic transient response of an infinitely long annular multilayered cylinder', Mech. Res. Commun., 26(6), 709-718   DOI   ScienceOn
11 Cheung, J.B., Chen, T.S. and Thirumalai, K. (1974), 'Transient thermal stresses in a sphere by local heating', J. Appl. Mech., 41, 930-934   DOI
12 Kim, K.-S. and Noda, N. (2001), 'Green's function approach to solution of transient temperature for thermal stresses of functionally graded material', JSME Int. J. Series A - Solid M., 44(1), 31-36   DOI   ScienceOn
13 Reddy, J.N. and Chin, C.D. (1998), 'Thermomechanical analysis of functionally graded cylinders and plates', J. Therm. Stresses, 21, 593-626   DOI   ScienceOn
14 Chu, H.S. and Tzou, J.H. (1987), 'Transient response of a composite hollow cylinder heated by a moving line source', ASME, 3, 677-682
15 Awaji, H. and Sivakumar, R. (2001), 'Temperature and stress distributions in a hollow cylinder of functionally graded material: The case of temperature-independent material properties', J. Am. Ceram. Soc., 84(5), 1059-1065   DOI   ScienceOn
16 Awaji, H. and Sivakumar, R. (2002), 'Analysis of transient temperature and stress distributions in an functionally graded material hollow cylinder', A Hen/Transactions of the Japan Society of Mechanical Engineers, 68(A2), 293-299, Language: Japanese