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Influence of Residual Stresses on the Limit Equilibrium of a Pipeline with Internal Crack of Arbitrary Configuration

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Materials Science Aims and scope

On the basis of the equations of the theory of Timoshenko-type shells and an analog of the δ c -model, we reduce the problem of stressed state and limit equilibrium of a pipeline weakened by an internal longitudinal crack of arbitrary configuration located in the field of residual stresses to a system of nonlinear singular integral equations. We propose an algorithm for the numerical solution of the problem. We also study the influence of orthotropy, loading, and geometric parameters on the crack opening displacements.

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Authors and Affiliations

  1. “L’vivs’ka Politekhnika” National University, Lviv, Ukraine

    A. R. Dzyubyk & Yu. V. Porokhovs’kyi

  2. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    T. M. Nykolyshyn

Authors
  1. A. R. Dzyubyk
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  2. T. M. Nykolyshyn
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  3. Yu. V. Porokhovs’kyi
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Corresponding author

Correspondence to A. R. Dzyubyk.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 52, No. 1, pp. 83–90, January–February, 2016.

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Dzyubyk, A.R., Nykolyshyn, T.M. & Porokhovs’kyi, Y.V. Influence of Residual Stresses on the Limit Equilibrium of a Pipeline with Internal Crack of Arbitrary Configuration. Mater Sci 52, 89–98 (2016). https://doi.org/10.1007/s11003-016-9930-4

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  • DOI: https://doi.org/10.1007/s11003-016-9930-4

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