Avalanche Statistics of Interface Crack Propagation in Fiber Bundle Model: Characterization of Cohesive Crack
Publication: Journal of Engineering Mechanics
Volume 127, Issue 7
Abstract
This paper considers a model of crack propagation taking place at the interface between a rigid support and an elastic plate. The interface is modeled using a fiber bundle model (i.e., describing a damage behavior using a discrete set of elastic brittle elements having a random strength). This paper studies the fluctuations of the force required to propagate the crack along the interface. The statistics of avalanches, defined as a series of elements that are broken simultaneously under a load that decreases with the crack advance, are studied numerically and analytically. Local fiber breakage kinetics is related to a correlation length, which sets the size of a fracture process zone.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Daniels, H. E. ( 1945). “The statistical theory of the strength of bundles of threads.” Proc., Royal Soc., A183, London, 405–435.
2.
Delaplace, A., Roux, S., and Pijaudier-Cabot, G. ( 1999a). “`Damage cascade' in a softening interface.” Int. J. Solids and Struct., 36, 1403–1426.
3.
Delaplace, A., Schmittbuhl, J., and Måaløy, K. J. ( 1999b). “High resolution description of a crack front in an heterogeneous plexiglass block.” Phys. Rev. E, 60, 1337–1343.
4.
Hansen, A., and Hemmer, P. C. ( 1994). “Criticality in fracture: The burst distribution.” Proc., Theoretical Phys. Seminar in Trondheim, University of Trondheim, Norway.
5.
Harlow, D. G., and Phoenix, S. L. ( 1991). “Approximations for the strength distribution and size effect in an idealized lattice model of material breakdown.” J. Phys. and Mech. of Solids, 39, 173–200.
6.
Hemmer, P. C., and Hansen, A. ( 1992). “The distribution of simultaneous fiber failures in fiber bundles.” J. Appl. Mech., 59, 909–914.
7.
Hillerborg, A., Modeer, M., and Petersson, P. E. ( 1976). “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cement and Concrete Res., 6, 773–782.
8.
Kloster, M., Hansen, A., and Hemmer, P. C. ( 1997). “Burst avalanches in solvable models of fibrous materials.” Phys. Rev. E, 56, 2615–2625.
9.
Paczuski, M., Maslov, S., and Bak, P. ( 1995). “Avalanche dynamics in evolution, growth and depinning models.” Phys. Rev. E, 53, 414–443.
10.
Schmittbuhl, J., and Måaløy, K. J. ( 1997). “Direct observation of a self-affine crack propagation.” Phys. Rev. Letter, 78, 3888–3891.
11.
Zapperi, S., Herrmann, H. J., and Roux, S. ( 2000). “Planar cracks in the fuse model.” Eur. Phys. J., B, 17, 131–136.
Information & Authors
Information
Published In
History
Received: Mar 15, 2001
Published online: Jul 1, 2001
Published in print: Jul 2001
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.