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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
Article
  • 17 Downloads

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.

Keywords

Stress Intensity Factor Tangential Stress Elastic Body Stress Intensity Factor Angular Displacement 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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