Boundary integral equations for an interface linear crack under harmonic loading

Iryna Mykhailova, Oleksandr Menshykov, Maryna Menshykova, Igor Guz

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


The present study is devoted to application of boundary integral equations to the problem of a linear crack located on the bimaterial interface under time-harmonic loading. Using the Somigliana dynamic identity the system of boundary integral equations for displacements and tractions at the interface is derived. For the numerical solution the collocation method with piecewise constant approximation on each linear continuous boundary elements is used. The distributions of the displacements are computed for different values of the frequency of the incident tension–compression wave. Results are compared with static ones.
Original languageEnglish
Pages (from-to)2279-2286
Number of pages8
JournalJournal of Computational and Applied Mathematics
Issue number7
Early online date18 Aug 2009
Publication statusPublished - 1 Aug 2010
EventFourth International Conference on Advanced COmputational Methods in ENgineering - University of Liège, Liège, Belgium
Duration: 26 May 200828 May 2008
Conference number: 4


  • fracture dynamics
  • boundary integral equations
  • interface crack
  • contact interaction


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