Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-29T07:28:54.848Z Has data issue: false hasContentIssue false
  • English
  • Français

Depinning of Fracture Fronts

Published online by Cambridge University Press:  10 February 2011

P. Daguier ,
B. Nghiem ,
E. Bouchaud  and
F. Creuzet
P. Daguier
Affiliation:
O.N.E.R.A. (OM), 29 Avenue de la Division Leclerc, B.P. 72, 92322 Châtillon Cedex, FRANCE
B. Nghiem
Affiliation:
Laboratoire CNRS/Saint-Gobain “Surface du Verre et Interfaces”, 39, Quai Lucien Lefranc, B.P. 135, 93303 Aubervilliers Cedex, FRANCE
E. Bouchaud
Affiliation:
O.N.E.R.A. (OM), 29 Avenue de la Division Leclerc, B.P. 72, 92322 Châtillon Cedex, FRANCE
F. Creuzet
Affiliation:
Laboratoire CNRS/Saint-Gobain “Surface du Verre et Interfaces”, 39, Quai Lucien Lefranc, B.P. 135, 93303 Aubervilliers Cedex, FRANCE
Get access

Abstract

By studying the morphology of the fracture surfaces of both a metallic alloy and of a silicate glass for various very low crack propagation velocities, it is shown that the pin-ning/depinning scenario of a line moving through randomly distributed obstacles seems well adapted to describe fracture of heterogeneous materials. The crossover length separating the large length scales regime characterised by a roughness index ζ ≃ 0.78 and the small length scales one, for which ζc ≃ 0.5, is shown to decrease with the measured crack velocity as a power law, ξc ∞ v−φ, with ζ ≃ 1. ξc and v also vary with the pulling force as power laws, and the measured values of exponents ν and β are close to: ν ≃ 2 and β ≃ 2.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 463: Symposia EE – Statistical Mechanics in Physics and Biology , 1996 , 195
Copyright
Copyright © Materials Research Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Bouchaud, J.-P., Bouchaud, E., Lapasset, G., Planès, J., Phys. Rev. Lett., 71, 2240, (1993).Google Scholar
[2] Narayan, O., Fisher, D., Phys. Rev. Lett. 68, 3615 (1992); Phys. Rev. B46, 11520 (1992);Google Scholar
Narayan, O., Fisher, D. S., Phys. Rev. B 48, 7030 (1993).Google Scholar
[3] Nattermann, T., Stepanow, S., Tang, L-H., Leschhorn, H., J. Phys. II (France) 2, 1483 (1992).Google Scholar
[4] Halpin-Healy, T., Zhang, Yi-Cheng, Physics Report, 254, 215 (1995), and references therein.Google Scholar
[5] Ertaş, D., Kardar, M. Phys. Rev. Lett. 69, 929 (1992);Google Scholar
Ertaş, D., Kardar, M. Phys. Rev, E 48 1228 (1993).Google Scholar
[6] Ertaş, D., Kardar, M. Phys. Rev. Lett. 73, 1703 (1994);Google Scholar
Ertaş, D., Kardar, M., Phys. Rev. B 53, 3520 (1996).Google Scholar
[7] Mandelbrot, B.B., Passoja, D.E., Paullay, A.J., Nature 308 721 (1984).Google Scholar
[8] Mandelbrot, B.B., Phys. Ser. 32, 257 (1985).Google Scholar
[9] Bouchaud, E., Lapasset, G., Planés, J., Europhys. Lett. 13, 73 (1990).Google Scholar
[10] Maloy, K.J., Hansen, A., Hinrichsen, E. L., Roux, S., Phys. Rev. Lett. 68, 213 (1992).Google Scholar
[11] Daguier, P., Hénaux, S., Bouchaud, E. and Creuzet, F., Phys. Rev. E 53, 5637 (1996).Google Scholar
[12] Milman, V.Y., Stelmashenko, N.A., Blumenfeld, R., Prog. Mater. Sci. 38, 425 (1994).Google Scholar
[13] Bouchaud, E., Navéos, S., J. Phys. I France 5, 547 (1995).Google Scholar
[14] Nakano, A., Kalia, R. K., Vashishta, P., Phys. Rev. Lett. 73, 2336 (1994).Google Scholar
[15] Nakano, A., Kalia, R. K., Vashishta, P., Phys. Rev. Lett. 75, 3138 (1995);Google Scholar
Kalia, R. K., Nakano, A., Omeltchenko, A., Tsuruta, K., Vashishta, P., preprint (1996).Google Scholar
[16] Sen, S., Stebbins, J.F., Phys. Rev. B 50, 822 (1994).Google Scholar
[17] Gaskell, P.H., Eckersley, M.C., Barnes, A.C., Chieux, P., Nature 350, 675 (1991).Google Scholar
[18] Ritchie, R.O., Bathe, K. J., Int. J. of Fracture 15, 47 (1979).Google Scholar
[19] Bouchaud, E. in Size-scale effects in the failure mechanisms of materials and structures, IUTAM Symposium Turin October 1994, Edited by Carpinteri, A., E&F Spon (London), p. 121 (1996).Google Scholar
[20] Guilloteau, E., Charrue, H., Creuzet, F., Europhys. Lett. 34, 549 (1996).Google Scholar
[21] Schmittbuhl, J., Vilotte, J.P., Roux, S., Phys. Rev. E 51, 131 (1995).Google Scholar
[22] Bathias, C. and Bailon, J.P., La fatigue des matériaux et des structures, Ed. Maloine, S.A. (1980).Google Scholar
[23] Schmittbuhl, J., Roux, S., Vilotte, J.-P., Maloy, K. J., Phys. Rev. Lett. 74, 1787 (1995);Google Scholar
Thomas, P. B., Paczuski, M., preprint (1996).Google Scholar
[24] Daguier, P., Bouchaud, E., Lapasset, G., Europhys. Lett. 31, 367 (1995).Google Scholar
[25] Hansen, A., Hinrichsen, E.L., Roux, S., Phys. Rev. Lett. 66, 2476 (1991);Google Scholar
Roux, S., François, D., Scripta Metall. 25, 1092 (1991).Google Scholar