A Criterion for Crack Kinking Out of an Interface

Article Preview

Abstract:

Cotterell and Rice theory (1980) on the kinking of a crack submitted to a biaxial loading in a homogeneous material has been recently revisited (Leguillon and Murer 2008). The mixed criterion for fracture which involves both an energetic and a stress condition (Leguillon 2002) allows defining a positive threshold of the T-stress below which no branching can occur (Selvarathinam and Goree 1998). This analysis enters within a more general mixed-mode analysis (I+II+T-stress). Despite the complex terms and the oscillations, results extend to interfacial cracks. The assumption of a crack jump as a consequence of the energy balance allows getting rid of the problem brought by the oscillations due to these complex terms. This approach brings a new insight on the prediction of crack kinking out of a bimaterial interface.

You might also be interested in these eBooks

Info:

Periodical:

Key Engineering Materials (Volumes 385-387)

Pages:

9-12

Citation:

Online since:

July 2008

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2008 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Cotterell B and Rice J R (1980) Slightly curved or kinked cracks. Int. J. Fract. 16(2): 155-169.

DOI: 10.1007/bf00012619

Google Scholar

[2] He M Y and Hutchinson J W (1989) Kinking of a crack out of an interface. J. Appl. Mech. 111: 270-278.

Google Scholar

[3] Kfouri A P (1986) Some evaluations of the elastic T -term using Eshelby's method. Int. J. Fract. 30: 301-315.

DOI: 10.1007/bf00019710

Google Scholar

[4] Labossiere P E W and Dunn M L (1998) Calculation of stress intensities at sharp notches in anisotropic media. Eng. Frac. Mech. 61(5-6): 635-654.

DOI: 10.1016/s0013-7944(98)00039-3

Google Scholar

[5] Larsson S G and Carlsson A J (1973) Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials. J. Mech. Phys. Solids 21: 263-277.

DOI: 10.1016/0022-5096(73)90024-0

Google Scholar

[6] Leevers P S and Radon J C (1982) Inherent stress biaxiality in various fracture specimen geometries. Int. J. Fract. 19: 311-325.

DOI: 10.1007/bf00012486

Google Scholar

[7] Leguillon D (2002) Strength or toughness? A criterion for crack onset at a notch. Eur. J. Mech. A/Solids 21: 61-72.

DOI: 10.1016/s0997-7538(01)01184-6

Google Scholar

[8] Leguillon D. and Murer S. (2008) Crack deflection in a biaxial stress state, Int. J. Fract. submitted.

DOI: 10.1007/s10704-008-9231-5

Google Scholar

[9] Leguillon D and Sanchez-Palencia E (1987) Computation of singular solutions in elliptic problems and elasticity. J. Wiley, New-York Masson, Paris, pp.121-128.

DOI: 10.2307/2008740

Google Scholar

[10] Rice J R (1988) Fracture mechanics concepts for interfacial cracks. J. Appl. Mech. 55: 98-103.

Google Scholar

[11] Selvarathinam A S and Goree J G (1998) T-stress based fracture model for cracks in isotropic materials. Eng. Frac. Mech. 60(5-6): 543-561.

DOI: 10.1016/s0013-7944(98)00032-0

Google Scholar

[12] Yosibash Z, Priel E and Leguillon D (2006) A failure criterion for brittle elastic materials under mixed mode loading. Int. J. Fract. 141(1): 289-310.

DOI: 10.1007/s10704-006-0083-6

Google Scholar