Investigation of the problem of a plane axisymmetric cylindrical tube under internal and external pressures

  • I. H. Stampouloglou
  • E. E. Theotokoglou
Original Paper


An analysis has been presented in linear elasticity for the investigation of the problem of a plane axisymmetric cylindrical tube under internal and external pressures. Stress concentration coefficients are introduced and the loci where the stress, strain and displacements fields become nul, are determined. Combinations of the lateral loads are studied and the limit values of the thickness of the tube are also examined. Applications are made for a half circle cross-tunnel and for the case of zero tensile stresses at the inner or the outer ring of a cylindrical tube.


Plane axisymmetric tube Linear elasticity Pressure Analytic solution 


  1. Barber J.R.: Elasticity. Kluwer Academic Publishers, Dordrecht (1992)MATHGoogle Scholar
  2. Filonenko-Borodich, M.: Theory of Elasticity, pp. 200–206. Mir Publishers, Moscow (1968)Google Scholar
  3. Gal, D., Ovorkin, J.: Stresses on anisotropic cylinders. Mech. Res. Commun. 22, 109–113 (1995)CrossRefGoogle Scholar
  4. Imaninejad, M., Subhash, G.: Proportional loading of thick-walled cylinders. Int. J. Pressure Vessels Piping 82, 129–135 (2005)CrossRefGoogle Scholar
  5. Lekhnitskii, S.G.: Anisotropic Plates, pp. 106–114. Gordon and Break Science Publishers, New York (1968)Google Scholar
  6. Love, A.E.H.: A Treatise on the Mathematical Theory of Elasticity. 4th ed. Cambridge University Press, Cambridge (1956)Google Scholar
  7. Muskhelishvili, N.I.: Some Basic Problems of the Mathematical Theory of Elasticity, 4th ed. P. Noordhoff Ltd., Groningen, The Netherlands (1963)MATHGoogle Scholar
  8. Pilkey, D.W. (1997) Stress Concentration Factors, 2nd ed. Wiley, New YorkGoogle Scholar
  9. Saada, A.S.: Elasticity Theory and Applications, pp. 323–334. Pergamon Press Inc., Oxford (1979)Google Scholar
  10. Singh, S., Kumor, A.: Stresses due to flow past a circular cylinder. Int. J. Pressure Vessel Piping 60, 37–48 (1994)CrossRefGoogle Scholar
  11. Stampouloglou, I.H., Theotokoglou, E.E.: The two-actions theorem and its application to composite materials. Arch. Mech. Eng. XLIX, 297–315 (2002)Google Scholar
  12. Timoshenko, S.P., Goodier, J.N.: Theory of Elasticity. McGraw-Hill Kogakusha Ltd., Tokyo (1970)MATHGoogle Scholar
  13. Yiannopoulos, Ch.A.: A simplified solution for stresses in thick-wall cylinders for various loading conditions. Comput. Struct. 60, 571–578 (1996)MATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  1. 1.Faculty of Applied Sciences, Department of Mechanics – Lab. of Strength of MaterialsNational Technical University of AthensAthensGreece
  2. 2.AthensGreece

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