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 are computed for different values of the frequency of the incident tension–compression wave. Results are compared with static ones.
| Original language | English |
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| Pages (from-to) | 2279-2286 |
| Number of pages | 8 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 234 |
| Issue number | 7 |
| Early online date | 18 Aug 2009 |
| DOIs | |
| Publication status | Published - 1 Aug 2010 |
| 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 |
Bibliographical note
The authors are very grateful to Dr. Maria Kashtalyan (CEMINACS, University of Aberdeen, UK) for the helpful discussions and valuable suggestions.Keywords
- fracture dynamics
- boundary integral equations
- interface crack
- contact interaction