### Abstract

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 at the bimaterial interface are computed for different values of the frequency of the incident tension-compression wave.

Original language | English |
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Title of host publication | Proceedings of the 4th International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2008) |

Editors | M. Hogge, R. Van Keer, L. Noels, L. Stainier, J.-P. Ponthot, J.-F. Remacle, E. Dick |

Publisher | University of Liege |

Number of pages | 9 |

Publication status | Published - 2008 |

Event | Fourth International Conference on Advanced COmputational Methods in ENgineering - University of Liège, Liège, Belgium Duration: 26 May 2008 → 28 May 2008 Conference number: 4 |

### Conference

Conference | Fourth International Conference on Advanced COmputational Methods in ENgineering |
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Abbreviated title | ACOMEN 2008 |

Country | Belgium |

City | Liège |

Period | 26/05/08 → 28/05/08 |

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## Cite this

Mykhailova, I., Menshykov, O., Menshykova, M., & Guz, I. (2008). Boundary Integral Equations for an Interface Linear Crack under Harmonic Loading. In M. Hogge, R. Van Keer, L. Noels, L. Stainier, J-P. Ponthot, J-F. Remacle, & E. Dick (Eds.),

*Proceedings of the 4th International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2008)*University of Liege.