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Archive of Applied Mechanics

, Volume 81, Issue 8, pp 1063–1074 | Cite as

Analysis of functionally graded thick truncated cone with finite length under hydrostatic internal pressure

  • Kamran Asemi
  • Mehdi Akhlaghi
  • Manouchehr SalehiEmail author
  • Seyed Kasra Hosseini Zad
Original

Abstract

Finite Element Method based on Rayleigh–Ritz energy formulation is applied to obtain the elastic behavior of functionally graded thick truncated cone. The cone has finite length, and it is subjected to axisymmetric hydrostatic internal pressure. The inner surface of the cone is pure ceramic and the outer surface is pure metal, and the material composition varying continuously along its thickness. Using this method, the effects of semi-vertex angle of the cone and the power law exponent on distribution of different types of displacements and stresses are considered.

Keywords

Thick truncated cone Finite length FGMs Finite element method 

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References

  1. 1.
    Yamanouchi, M., Koizumi, M., Hirai, T., Shiota, I.: Proceedings of the First International Symposium on Functionally Gradient Materials. Japan (1990)Google Scholar
  2. 2.
    Koizumi M.: The concept of FGM. Ceram. Trans., Funct. Gradient Mater. 34, 3–10 (1993)Google Scholar
  3. 3.
    Li X.F., Peng X.L.: A pressurized functionally graded hollow cylinder with arbitrarily varying material properties. J. Elast. 96, 81–95 (2009)MathSciNetzbMATHCrossRefGoogle Scholar
  4. 4.
    Chen Y.Z., Lin X.Y.: Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials. Comput. Mater. Sci. 44, 581–587 (2008)CrossRefGoogle Scholar
  5. 5.
    Hongjun X., Zhifei S., Taotao Z.: Elastic analyses of heterogeneous hollow cylinders. Mech. Res. Commun. 33, 681–691 (2006)zbMATHCrossRefGoogle Scholar
  6. 6.
    Fukui Y., Yamanaka N.: Elastic analysis for thick-walled tubes of functionally graded material subjected to internal pressure. JSME Int. J. Ser. I 35(4), 379–385 (1992)Google Scholar
  7. 7.
    Tutuncu N., Ozturk M.: Exact solutions for stresses in functionally graded pressure vessels. Compos. Part B Eng. 32(8), 683–686 (2001)CrossRefGoogle Scholar
  8. 8.
    Tutuncu N.: Stresses in thick-walled FGM cylinders with exponentially-varying properties. Eng. Struct. 29, 2032–2035 (2007)CrossRefGoogle Scholar
  9. 9.
    Zamani Nejad, M., Rahimi, G.H.: Elastic analysis of FGM rotating cylindrical pressure vessels. J. Chinese Institute of Engineers. 33(4), (2010, in press)Google Scholar
  10. 10.
    Ghannad, M., Zamani Nejad, M., Rahimi, G.H.: Elastic solution of axisymmetric thick truncated conical shells based on first-order shear deformation theory. MECHANIKA. 79(5), ISSN 1392-1207 (2009)Google Scholar
  11. 11.
    Horgan C.O.: The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. J. Elast. 55, 43–59 (1999)MathSciNetzbMATHCrossRefGoogle Scholar
  12. 12.
    Nie G.J., Batra R.C.: Exact solutions and material tailoring for functionally graded hollow circular cylinders. J. Elast. 99, 179–201 (2010)MathSciNetzbMATHCrossRefGoogle Scholar
  13. 13.
    Jabbari M., Sohrabpour S., Eslami M.R.: Mechanical and thermal stresses in functionally graded hollow cylinder due to radially symmetric loads. Int. J. Press. Vessels Piping 79, 493–497 (2002)CrossRefGoogle Scholar
  14. 14.
    Jabbari M., Bahtui A., Eslami M.R.: Axisymmetric mechanical and thermal stresses in thick short length FGM cylinders. Int. J. Press. Vessels Piping 86, 296–306 (2009)CrossRefGoogle Scholar
  15. 15.
    Shao Z.S.: Mechanical and thermal stresses of a functionally graded circular hollow cylinder with finite length. Int. J. Press. Vessels Piping 82, 155–163 (2005)CrossRefGoogle Scholar
  16. 16.
    Shakeri M., Akhlaghi M., Hoseini S.M.: Vibration and radial wave propagation velocity in fuctionally graded thick hollow cylinder. Compos. Structures 76, 174–181 (2006)CrossRefGoogle Scholar
  17. 17.
    Eslami, M.R.: A First Course in Finite Element Analysis, 1st edn. Amirkabir University of technology, Tehran publication Press (2003). ISBN:964-463102-1Google Scholar

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Kamran Asemi
    • 1
  • Mehdi Akhlaghi
    • 1
  • Manouchehr Salehi
    • 2
    Email author
  • Seyed Kasra Hosseini Zad
    • 1
  1. 1.Department of Mechanical EngineeringAmirkabir University of TechnologyTehranIran
  2. 2.Mechanical Engineering Department and Concrete Technology and Durability Research CentreAmirkabir University of TechnologyTehranIran

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