On the Integro-differential Equation of a Torsion of an Elastic Medium Including a Cylindrical Crack

  • G. Popov
  • B. Kebli
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 117)


We have in mind such a problem: an unbounded (0 < r < ∞, -π < ϕ < π, -∞ < z < ∞) elastic medium including a crack coinciding with the surface:

(1.1) r = R, -π ϕ < π,a ≤ z ≤ b

has been exposed by the deformation of the torsion from an arbitrary load, which causes stress τ 0 (r,z)and displacement u ϕ 0 (r,z) in the elastic medium without the crack to demand to determine the stress intensity factor.


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Copyright information

© Springer Basel AG 2000

Authors and Affiliations

  • G. Popov
    • 1
  • B. Kebli
    • 1
  1. 1.Institute Mathematics, Economics and MechanicsOdessa State UniversityOdessaUkraine

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