Russian Journal of Nondestructive Testing

, Volume 40, Issue 10, pp 689–695 | Cite as

On reconstruction of cracks with interacting edges

  • A. O. Vatul’yan
  • A. N. Solov’ev
Acoustic Methods


A method for the reconstruction of the configuration of cracks is suggested based on finding heat sources that model the interaction between cracks’ edges (such as friction and collapse) in solids exposed to external ultrasound. The input information for reconstruction is a stationary temperature field on a solid boundary. The functional of “nonreciprocity” was constructed; the study of this functional made it possible to convert the problem of determining a crack’s parameters into a few transcendental equations; explicit formulas were obtained for small cracks. The results of computational experiments on reconstruction of the parameters of a straight crack are considered.


Structural Material Heat Source Temperature Field Explicit Formula Computational Experiment 
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

© MAIK “Nauka/Interperiodica” 2004

Authors and Affiliations

  • A. O. Vatul’yan
    • 1
    • 2
  • A. N. Solov’ev
    • 1
    • 2
  1. 1.Rostov State UniversityRostov-on-DonRussia
  2. 2.Don State Technical UniversityRostov-on-DonRussia

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