Quick Search:    advanced search

GSW Home   GeoRef Home   My GSW Alerts   Contact GSW   About GSW   Journals List   Help

This Article Figures Only Full Text Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Citation Map Services Email this article to a friend Similar articles in this journal Similar articles in Web of Science Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via HighWire Citing Articles via Web of Science (16) Citing Articles via Google Scholar Google Scholar Articles by Nielsen, S. Articles by Madariaga, R. Search for Related Content GeoRef GeoRef Citation

On the Self-Healing Fracture Mode

Istituto Nazionale di Geofisica e Vulcanologia
Roma, Italy
(S.N.)
Ecole Normale Superieure de Paris
Laboratoire de Géologie
Paris, France
(R.M.)

Manuscript received 27 March 2002.

We present the analytical solution for a fundamental fracture mode in the form of a self-similar, self-healing pulse. The existence of such a fracture mode was strongly suggested by recent numerical simulations of seismic ruptures but, to our knowledge, no formal proof of their origin has been proposed yet. We present a two-dimensional, anti-plane solution for fixed rupture and healing speeds that satisfies both the wave equation and crack boundary conditions for a simple Coulomb friction law in the absence of any rate or state dependence. This solution is an alternative to the classic self-similar crack solution by Kostrov. In practice, the self-healing impulsive mode rather than the expanding crack mode is selected depending on details of fracture initiation and is thereafter self-maintained. We discuss stress concentration, fracture energy, and rupture velocity and compare them to the case of a crack. The analytical study is complemented by various numerical examples and comparisons. On more general grounds, we argue that an infinity of marginally stable fracture modes may exist in addition to the crack solution or the impulsive fracture described here.

This article has been cited by other articles:

				S. Murphy and S. Nielsen Estimating Earthquake Magnitude with Early Arrivals: A Test Using Dynamic and Kinematic Models Bulletin of the Seismological Society of America, February 1, 2009; 99(1): 1 - 23. [Abstract] [Full Text] [PDF]

				X. Lu, N. Lapusta, and A. J. Rosakis From the Cover: Pulse-like and crack-like ruptures in experiments mimicking crustal earthquakes PNAS, November 27, 2007; 104(48): 18931 - 18936. [Abstract] [Full Text] [PDF]

				G. Lykotrafitis, A. J. Rosakis, and G. Ravichandran Self-healing pulse-like shear ruptures in the laboratory. Science, September 22, 2006; 313(5794): 1765 - 1768. [Abstract] [Full Text] [PDF]

				E. Tinti, E. Fukuyama, A. Piatanesi, and M. Cocco A Kinematic Source-Time Function Compatible with Earthquake Dynamics Bulletin of the Seismological Society of America, August 1, 2005; 95(4): 1211 - 1223. [Abstract] [Full Text] [PDF]

				J. R. Rice, C. G. Sammis, and R. Parsons Off-Fault Secondary Failure Induced by a Dynamic Slip Pulse Bulletin of the Seismological Society of America, February 1, 2005; 95(1): 109 - 134. [Abstract] [Full Text] [PDF]