Contact Interaction of Interlaminar Crack Faces under Harmonic Loading

Research output: Chapter in Book/Report/Conference proceedingPublished conference contribution


The present study is devoted to application of boundary integral equations to the problem of a crack located on the bimaterial interface under time-harmonic loading. The system of integral equations for displacements and tractions is derived from the dynamic Somigliana identity. The proposed semi-analytical approach enables us to take into account the Signorini unilateral constraints and the Coulomb friction law, which make the problem non-linear. Thus we consider not only the normal interaction of the crack faces but also the effect of the friction. The distribution of the displacements and tractions at the bimaterial interface and the surface of the crack are analysed for the normally incident tension-compression wave. The dynamic stress intensity factors (opening and shear modes) are also computed as functions of the frequency of the incident wave and properties of the upper and the lower half-spaces. The results are compared with those obtained neglecting the contact interaction.
Original languageEnglish
Title of host publication12th International Conference on Fracture 2009 (ICF-12)
PublisherCurran Associates, Inc.
Number of pages10
ISBN (Print) 978-1-6173-227-7
Publication statusPublished - 2010
Event12th International Conference on Fracture - Ottawa, Canada
Duration: 12 Jul 200917 Jul 2009
Conference number: 12


Conference12th International Conference on Fracture
Abbreviated titleICF12
Internet address


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