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Fracture
development on a weak interface near a wedge
Alexander N. Galybin, Robert V. Goldstein and Konstantin B. Ustinov |
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Vol. 10 (2015), No. 3, 265–282
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DOI: 10.2140/jomms.2015.10.265
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Abstract |
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Formation of a fracture consisting in shear-opening delamination and Coulomb’s frictional sliding zones along a weak interface in an elastic isotropic homogeneous plane subjected to wedging and external compression is studied. The shear-opening delamination is modelled by a mixed-mode crack; the frictional sliding zones are modelled by pure shear cracks. The interface is assumed to be much weaker than the material of the plane, so that only interface cracks are considered. The wedge is modelled by a pair of edge dislocations. Two particular cases have been considered: far-field and near-field asymptotics, corresponding to the cases of large and small ratios of the distance between the wedge and the interface and the distance between two dislocations modelling the wedge, respectively. The possibility of formation of finite sliding zones ahead of the delamination on the weak interface is demonstrated. It is shown that, depending on the combination of external parameters (ratio of the dislocation burgers vector and elastic modulus, distance from the dislocation to the interface, magnitude of applied compression, cohesion and friction angle of the interface), two configurations of cracks may be observed: one mixed-mode crack, and three cracks—one central mixed mode crack and two external symmetrical shear cracks. The central part of the sliding zone is also open. |
Keywords
mixed-mode interface crack, edge dislocation, delamination,
sliding, singular integral equations
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Milestones
Received: 1 December 2014
Revised: 19 January 2015
Accepted: 23 February 2015
Published: 26 August 2015
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Authors |
| Alexander N. Galybin | |
| The Schmidt Institute of Physics of
the Earth Russian Academy of Sciences Gruzinskaya str. 10-1 Moscow 123995 Russia |
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| Robert V. Goldstein | |
| A. Yu. Ishlinsky Institute for
Problems in Mechanics Russian Academy of Sciences prosp. Vernadskogo 101-1 Moscow 119526 Russia |
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| Konstantin B. Ustinov | |
| A. Yu. Ishlinsky Institute for
Problems in Mechanics Russian Academy of Sciences prosp. Vernadskogo 101-1 Moscow 119526 Russia |
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