Journal of Mathematical Sciences

, Volume 170, Issue 6, pp 695–707 | Cite as

Interaction of a harmonic torsional wave with ring-shaped defects in an elastic body

  • H. A. Varvarets’ka
  • V. H. Popov

We have solved the problem of determination of the stressed state in an isotropic elastic body near ring-shaped defects (a crack or a thin rigid inclusion) as a result of the action of a harmonic torsional wave. The method of solution is based on the use of discontinuous solutions of the equation of torsional vibrations and lies in the reduction of the initial boundary-value problems to integral equations for the unknown jumps of angular displacement or tangential stress.


Stress Intensity Factor Tangential Stress Elastic Body Stress Intensity Factor Angular Displacement 
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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  • H. A. Varvarets’ka
    • 1
  • V. H. Popov
    • 1
  1. 1.Odessa National Marine AcademyOdessaUkraine

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