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

Abstract

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.

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Correspondence to E. E. Theotokoglou.

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Stampouloglou, I.H., Theotokoglou, E.E. Investigation of the problem of a plane axisymmetric cylindrical tube under internal and external pressures. Int J Mech Mater Des 3, 59–71 (2006). https://doi.org/10.1007/s10999-006-9013-z

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Keywords

  • Plane axisymmetric tube
  • Linear elasticity
  • Pressure
  • Analytic solution