Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-27T00:41:01.670Z Has data issue: false hasContentIssue false

Dynamic Fracture in Disordered Media

Published online by Cambridge University Press:  31 January 2011

Get access

Extract

While it is possible to carry out fracture experiments in single crystals, in everyday experience fracture occurs in heterogeneous and often disordered materials. Tear a piece of paper, and the resulting ragged edge shows evidence of the local variation in the paper's mechanical properties. One might expect the same behavior in fracture of other disordered materials such as polycrystalline solids, fiber composites, and concrete.

Type
Research Article
Copyright
Copyright © Materials Research Society 2000

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

1.Hauch, J.A., Holland, D., Marder, M.P., and Swinney, H.L., Phys. Rev. Lett. 82 (1999) p. 3823.CrossRefGoogle Scholar
2.Freund, L.B., Dynamic Fracture Mechanics (Cambridge University Press, New York, 1990) p. 513.CrossRefGoogle Scholar
3.Herrmann, H.J. and Roux, S., eds., Statistical Models for the Fracture of Disordered Media (North-Holland, Amsterdam, 1990).Google Scholar
4.Curtin, W.A. and Scher, H., Phys. Rev. B 55 (1997) p. 12038; W.A. Curtin, M. Pamel, and H. Scher, Phys. Rev. B 55 (1997) p. 12051.CrossRefGoogle Scholar
5.Zapperi, S., Ray, P., Stanley, H.E., and Vespignani, A., Phys. Rev. E 59 (1999) p. 5049; S. Zapperi, A. Vespignani, and H.E. Stanley, Nature 388 (1997) p. 658.CrossRefGoogle Scholar
6.Marder, M., Comput. Sci. Eng. 1 (1999) p. 48; J. Fineberg and M. Marder, Phys. Rep. 313 (1999) p. 1.CrossRefGoogle Scholar
7.Fineberg, J., Gross, S.P., Marder, M., and Swinney, H.L., Phys. Rev. B 45 (1992) p. 5146.CrossRefGoogle Scholar
8.Zhou, S.J., Lomdahl, P.S., Thomson, R., and Holian, B.L., Phys. Rev. Lett. 76 (1996) p. 2318; P. Gumbsch, S.J. Zhou, and B. Holian, Phys. Rev. B 55 (1997) p. 3445.CrossRefGoogle Scholar
9.Abraham, F.F., Brodbeck, D., Rafey, R.A., and Rudge, W.E., Phys. Rev. Lett. 73 (1994) p. 272.CrossRefGoogle Scholar
10.Omeltchenko, A., Yu, J., Kalia, R.K., and Vashishta, P., Phys. Rev. Lett. 78 (1997) p. 2148.CrossRefGoogle Scholar
11.Bouchaud, E. and Paun, F., Comput. Sci. Eng. 1 (1999) p. 32.CrossRefGoogle Scholar
12.Abraham, F. and Gao, H., Phys. Rev. Lett. 84 (2000) p. 3113.CrossRefGoogle Scholar
13.Ramanathan, S. and Fisher, D.S., Phys. Rev. Lett. 79 (1997) p. 877; S. Ramanathan, D. Ertas, and D.S. Fisher, Phys. Rev. Lett. 79 (1997) p. 873.CrossRefGoogle Scholar
14.Morrissey, J.W. and Rice, J.R., J. Mech. Phys. Solids 46 (1997) p. 467.CrossRefGoogle Scholar
15.Fukuhara, T. and Nakanishi, H., J. Phys. Soc. Jpn. 67 (1998) p. 4064; preprint available from xxx.lanl.gov as cond-mat/9807227.CrossRefGoogle Scholar
16.Marder, M., Phys. Rev. Lett. 74 (1995) p. 4547.CrossRefGoogle Scholar
17.Corbett, J.M. and Selinger, R.L.B., in Fracture and Ductile vs. Brittle Behavior—Theory, Modelling and Experiment, edited by Beltz, G.E., Selinger, R.L. Blumberg, Kim, K.-S., and Marder, M.P. (Mater. Res. Soc. Symp. Proc. 539, Warrendale, PA, 1999) p. 209.Google Scholar
18.Holland, D. and Marder, M., Phys. Rev. Lett. 80 (1998) p. 746.CrossRefGoogle Scholar
19.Nittmann, J., Daccord, G., and Stanley, H.E., Nature 314 (1985) p. 141.CrossRefGoogle Scholar
20.Fineberg, J. (private communication).Google Scholar
21.Sharon, E. and Fineberg, J., Nature 397 (1999) p. 333.CrossRefGoogle Scholar
22.Kalia, R.K., Nakano, A., Tsuruta, K., and Vashishta, P., Phys. Rev. Lett. 78 (1997) p. 689; R.K. Kalia, A. Nakano, A. Omeltchenko, K. Tsuruta, and P. Vashishta, Phys. Rev. Lett. 78 (1997) p. 2144; A. Nakano, R.K. Kalia, and P. Vashishta, Phys. Rev. Lett. 75 (1995) p. 3138; P. Vashishta, R.K. Kalia, and A. Nakano, Comput. Sci. Eng. 1 (1999) p. 56.CrossRefGoogle Scholar
23. For example, see Raisanen, V.I., Seppala, E.T., Alava, M.J., and Duxbury, P.M., Phys. Rev. Lett. 80 (1998) p. 329; G.G. Batrouni and A. Hansen, Phys. Rev. Lett. 80 (1998) p. 325.CrossRefGoogle Scholar
24.Schmittbuhl, J. and Maloy, K.J., Phys. Rev. Lett. 78 (1997) p. 3888; A. Delaplace, J. Schmittbuhl, and K.J. Maloy, Phys. Rev. E 60 (1999) p. 1337.CrossRefGoogle Scholar
25.Fisher, D., Phys. Rep. 301 (1998) p. 113.CrossRefGoogle Scholar
26.Schmmittbuhl, J., Roux, S., Vilotte, J.-P., and Maloy, K.J., Phys. Rev. Lett. 74 (1995) p. 1787.CrossRefGoogle Scholar