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Asymmetric transient thermal stress of a functionally graded hollow cylinder with piecewise power law

  • Ootao, Yoshihiro (Department of Mechanical Engineering, Graduate School of Engineering, Osaka Prefecture University) ;
  • Ishihara, Masayuki (Department of Mechanical Engineering, Graduate School of Engineering, Osaka Prefecture University)
  • Received : 2012.08.12
  • Accepted : 2013.08.07
  • Published : 2013.08.10

Abstract

This paper is concerned with the theoretical treatment of transient thermoelastic problems involving a functionally graded hollow cylinder with piecewise power law due to asymmetrical heating from its surfaces. The thermal and thermoelastic constants of each layer are expressed as power functions of the radial coordinate, and their values continue on the interfaces. The exact solution for the two-dimensional temperature change in a transient state, and thermoelastic response of a hollow cylinder under the state of plane strain is obtained herein. Some numerical results for the temperature change and the stress distributions are shown in figures. Furthermore, the influence of the functional grading on the thermal stresses is investigated.

Keywords

References

  1. Guo, L.C. and Noda, N. (2007), "Modeling method for a crack problem of functionally graded materials with arbitrary properties - piecewise-exponential model", Int. J. Solids Struct., 44, 6768-6790. https://doi.org/10.1016/j.ijsolstr.2007.03.012
  2. Ishikawa, K. (2001), Functionally Graded Materials in the 21st Century, Kluwer Academic Publishers.
  3. Jabbari, M., Sohrabpour, S. and Eslami, M.R. (2003), "General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads", Trans. ASME J. App.l Mech., 70, 111-118. https://doi.org/10.1115/1.1509484
  4. Jabbari, M., Mohazzab, A.H., Bahtui, A.M. and Eslami, R. (2007), "Analytical solution for three-dimensional stresses in a short length FGM hollow cylinder", Z.A.M.M., 87, 413-429.
  5. Miyamoto, Y., Kaysser, W.A., Rabin, B.H., Kawasaki, A. and Ford, R.G. (1999), Functionally graded materials: design, processing and applications, Kluwer Academic Publishers.
  6. Obata, Y. and Noda, N. (1994), "Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material", J. Therm. Stresses, 17, 471-487. https://doi.org/10.1080/01495739408946273
  7. Ootao, Y. and Tanigawa, Y. (1994), "Three-dimensional transient thermal stress analysis of nonhomogeneous hollow sphere with respect to rotating heat source", Trans. Jpn. Soc. Mech. Eng., 60A, 2273-2279.
  8. Ootao, Y. and Tanigawa, Y. (1999), "Three-dimensional transient thermal stresses of functionally graded rectangular plate due to partial heating", J Therm. Stresses, 22, 35-55. https://doi.org/10.1080/014957399281048
  9. Ootao, Y. and Tanigawa, Y. (2005), "Three-dimensional solution for transient thermal stresses of functionally graded rectangular plate due to nonuniform heat supply", Int. J. Mech. Sci., 47, 1769-1788. https://doi.org/10.1016/j.ijmecsci.2005.06.003
  10. Ootao, Y. and Tanigawa, Y. (2006), "Transient thermoelastic analysis for a functionally graded hollow cylinder", J. Therm. Stresses, 29, 1031-1046. https://doi.org/10.1080/01495730600710356
  11. Ootao, Y. and Tanigawa, Y. (2009), "Transient thermoelastic problem of a functionally graded hollow cylinder due to asymmetrical surface heating", J. Therm. Stresses, 32, 1217-1234. https://doi.org/10.1080/01495730903310490
  12. Ootao, Y. (2010), "Transient thermoelastic analysis for a multilayered hollow cylinder with piecewise power law nonhomogeneity", J. Solid Mech. Mater. Eng., 4, 1167-1177. https://doi.org/10.1299/jmmp.4.1167
  13. Peng, X. and Li, X. (2009), "Thermoelastic analysis of functionally graded annulus with arbitrary gradient", Appl. Math. Mech. 30, 1211-1220. https://doi.org/10.1007/s10483-009-1001-7
  14. Poultangari, R., Jabbari, M. and Eslami, M.R. (2008), "Functionally graded hollow spheres under non-axisymmetric thermo-mechanical loads", Int. J. Pres. Ves. Piping, 85, 295-305. https://doi.org/10.1016/j.ijpvp.2008.01.002
  15. Shao, Z.S., Wang, T.J. and Ang, K.K. (2007), "Transient thermo-mechancal analysis of functionally graded hollow circular cylinders", J. Therm. Stresses, 30, 81-104. https://doi.org/10.1080/01495730600897211
  16. Sugano, Y., Sato, K., Kimura, N. and Sumi, N. (1996), "Three-dimensional analysis of transient thermal stresses in a nonhomogeneous plate", Trans. Jpn. Soc. Mech. Eng., 62A, 728-736.
  17. Sugano, Y. (1987), "An expression for transient thermal stress in a nonhomogeneous plate with temperature variation through thickness", Ing. Arch., 57, 147-156. https://doi.org/10.1007/BF00541388
  18. Tanigawa, Y., Fukuda, T., Ootao, Y. and Tanimura, S. (1989), "Transient thermal stress analysis of a multilayered composite laminated cylinder with a uniformly distributed heat supply and [its analytical development to nonhomogeneous materials]", Trans. Jpn. Soc. Mech. Eng. 55A, 1133-1138.
  19. Tarn, J.Q. (2001), "Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads", Int. J. Solids Struct., 38, 8189-8206. https://doi.org/10.1016/S0020-7683(01)00182-2
  20. Vel, S.S. and Batra, C. (2003), "Three-dimensional analysis of transient thermal stresses in functionally graded plates", Int. J. Solids Struct., 40, 7181-7196. https://doi.org/10.1016/S0020-7683(03)00361-5
  21. Vel, S.S. (2011), "Exact thermoelastic analysis of functionally graded anisotropic hollow cylinders with arbitrary materials gradient", Mech. Advan. Mater. Struc. 18, 14-31. https://doi.org/10.1080/15376494.2010.519218
  22. Ye, G.R., Chen, W.Q. and Cai, J.B. (2001), "A uniformly heated functionally graded cylindrical shell with transverse isotropy", Mech. Res. Commun., 28, 535-542. https://doi.org/10.1016/S0093-6413(01)00206-3
  23. You, L.H., Ou, H. and Li, J. (2007), "Stress analysis of functionally graded thick-walled cylindrical vessels", A.I.A.A., 45, 2790-2798.
  24. Zhao, J., Ai, X., Li, Y. and Zhou, Y. (2006), "Thermal shock resistance of functionally gradient solid cylinders", Mater. Sci. Eng. A, 418, 99-110. https://doi.org/10.1016/j.msea.2005.11.019
  25. Zimmerman, R.W. and Lutz, M.P. (1999), "Thermal stresses and thermal expansion in a uniformly heated functionally graded cylinder", J. Therm. Stresses, 22, 177-188. https://doi.org/10.1080/014957399280959

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