Analysis of a Kinked Interfacial Crack Under Out-of-Plane Shear

1994 ◽  
Vol 61 (1) ◽  
pp. 38-44 ◽  
Author(s):  
S. R. Choi ◽  
K. S. Lee ◽  
Y. Y. Earmme
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Interfacial Crack ◽  
Limit Case ◽  
Plane Shear ◽  
Out Of Plane ◽  
Compliant Material

A kinked interfacial crack under out-of-plane shear is analyzed where a straight interfacial crack is kinked into material 1 out of the interface. Employing the Wiener- Hopf technique, the solution is obtained in a closed form. Discontinuity in the stress intensity factor as the kink angle to approaches zero is found, while the energy release rate is shown to be continuous at ω = 0. The limit case of the kinked length b approaching zero is also investigated. The result shows that the stress field has 1/r singularity and the energy release rate at b = 0+ is enhanced at some ω if the crack kinks into the more compliant material.

Self-Similar Interfacial Crack Growth in Anisotropic Material Under Anti-Plane Shear

1998 ◽  
Vol 14 (1) ◽  
pp. 17-22
Author(s):  
Kuang-Chong Wu
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Release Rate ◽  
Anisotropic Material ◽  
Constant Velocity ◽  
Interfacial Crack ◽  
Plane Shear ◽  
Dynamic Propagation ◽  
Self Similar

ABSTRACTDynamic propagation of a crack along the interface in an anisotropic material subjected to remote uniform anti-plane shear is studied. The crack is assumed to nucleate from an infinitesimal microcrack and expands with a constant velocity. Explicit expressions for the stress intensity factor and the energy release rate are derived.

scholarly journals The crack kinking out of an interface

2005 ◽  
Vol 32 (3) ◽  
pp. 209-221 ◽  
Author(s):  
Jelena Veljkovic
Keyword(s):  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Interfacial Crack ◽  
Intensity Factors ◽  
Elastic Materials ◽  
Kinked Cracks ◽  
Compliant Material ◽  
Stiff Material ◽  
Plane Strain Crack

Kinking of a plane strain crack out of an interface between the two dissimilar isotropic elastic materials is analyzed. Analysis is focused on the initiation of kinking and thus the segment of the crack leaving the interface is imagined to be short compared to the segment in the interface. The analysis provides the stress intensity factors and energy release rate of the kinked cracks in terms of the corresponding quantities for the interfacial crack. The energy release rate is enhanced if the crack heads into the more compliant material and is diminished if the crack kinks into the stiff material.

scholarly journals Combined Effect of Pressure and Shear Stress on Penny-Shaped Fluid-Driven Cracks

2018 ◽  
Vol 85 (3) ◽  
Author(s):  
Wenhao Shen ◽  
Ya-Pu Zhao
Keyword(s):  
Stress Intensity Factor ◽  
Shear Stress ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Crack Propagation ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Crack Opening ◽  
Effect Of Pressure

Penny-shaped fluid-driven cracks are often detected in many fluid–solid interaction problems. We study the combined effect of pressure and shear stress on the crack propagation in an impermeable elastic full space. Boundary integral equations are presented, by using the integral transform method, for a penny-shaped crack under normal and shear stresses. The crack propagation criterion of stress intensity factor is examined with the strain energy release rate. Dominant regimes are obtained by using a scaling analysis. Asymptotic solution of the toughness-dominant regime is derived to show the effect of shear stress on the crack opening, crack length, and pressure distribution. The results indicate that a singular shear stress can dominate the asymptotic property of the stress field near the crack tip, and the stress intensity factor cannot be calculated even though the energy release rate is finite. Shear stress leads to a smaller crack opening, a longer crack, and a slightly larger wellbore pressure. A novel dominant-regime transition between shear stress and pressure is found. Unstable crack propagation occurs in the shear stress-dominant regime. This study may help in understanding crack problems under symmetrical loads and modeling fluid–solid interactions at the crack surfaces.

scholarly journals Kinking of a Crack Out of an Interface

1989 ◽  
Vol 56 (2) ◽  
pp. 270-278 ◽  
Author(s):  
Ming-Yuan He ◽  
John W. Hutchinson
Keyword(s):  
Stress Intensity ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Intensity Factors ◽  
Elastic Solids ◽  
Kinked Crack ◽  
Compliant Material ◽  
Stiff Material ◽  
Plane Strain Crack

Kinking of a plane strain crack out of the interface between two dissimilar isotropic elastic solids is analyzed. The focus is on the initiation of kinking and thus the segment of the crack leaving the interface is imagined to be short compared to the segment in the interface. Accordingly, the analysis provides the stress intensity factors and energy release rate of the kinked crack in terms of the corresponding quantities for the interface crack prior to kinking. Roughly speaking, the energy release rate is enhanced if the crack heads into the more compliant material and is diminished if it kinks into the stiff material. The results suggest a tendency for a crack to be trapped in the interface irrespective of the loading when the compliant material is tough and the stiff material is at least as tough as the interface.

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