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Abstract
The present study is devoted to application of boundary integral equations to the problem for interface cracks located between two dissimilar homogeneous isotropic halfspaces under timeharmonic loading. The detailed procedure for deriving the system of boundary integral equations from the Somigliana dynamic identity is given. The integrals of hypersingular and singular kernels are regularised and computed.
The opposite faces of existing cracks interact with each other under deformation, affecting significantly the stress and strain fields. Unfortunately, due to substantial complications in solution researchers almost always neglect the contact interaction of crack faces in spite of its evident significance.
In order to take the contact interaction of crack faces into account we assume there is no interpenetration of the opposite crack faces and the contact force is unilateral. Thus the Signorini constraints are imposed for normal components of displacements and forces. We also assume that the contact interaction satisfies the Coulomb friction law. The solution is refined during the iteration process until the distribution of physical values satisfy the contact constraints. The results are compared with those obtained without allowance for the contact interaction.
The opposite faces of existing cracks interact with each other under deformation, affecting significantly the stress and strain fields. Unfortunately, due to substantial complications in solution researchers almost always neglect the contact interaction of crack faces in spite of its evident significance.
In order to take the contact interaction of crack faces into account we assume there is no interpenetration of the opposite crack faces and the contact force is unilateral. Thus the Signorini constraints are imposed for normal components of displacements and forces. We also assume that the contact interaction satisfies the Coulomb friction law. The solution is refined during the iteration process until the distribution of physical values satisfy the contact constraints. The results are compared with those obtained without allowance for the contact interaction.
Original language  English 

Pages  65 
Number of pages  1 
Publication status  Published  2009 
Event  British Applied Mathematics Colloquium 2009 incorporating British Theoretical Mechanics Colloquium  University of Nottingham, Nottingham, United Kingdom Duration: 7 Apr 2009 → 9 Apr 2009 Conference number: 51 http://www.personal.soton.ac.uk/~cjh/BAMC09/ 
Conference
Conference  British Applied Mathematics Colloquium 2009 incorporating British Theoretical Mechanics Colloquium 

Abbreviated title  BAMC / BTMC 2009 
Country/Territory  United Kingdom 
City  Nottingham 
Period  7/04/09 → 9/04/09 
Internet address 
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Dive into the research topics of 'Elastodynamics of interface cracks: the effect of cracks closure'. Together they form a unique fingerprint.Activities
 1 Presentation

Elastodynamics of interface cracks: the effect of cracks' closure
Oleksandr Menshykov (Speaker), Igor Guz (Contributor) & Marina Menshykova (Contributor)
7 Apr 2009 → 9 Apr 2009Activity: Disseminating Research › Presentation