Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-01-27T15:47:35.884Z Has data issue: false hasContentIssue false

Supersonic Rupture Pulses in an Earthquake Model

Published online by Cambridge University Press:  03 September 2012

Michael Leibig*
Affiliation:
The Institute for Theoretical Physics, The University of California Santa Barbara, Santa Barbara, CA 93019
Get access

Extract

In this work, I study the supersonicrupturepulse in a two dimensionalelastic sheet. There is a friction force acting at the edge of the sheet which is composed of a term that dependson the local displacement at the edge and a viscous dissipation term. I consider the case where the sheet is driven forward by a force acting in the bulk, but is held back by the interfacial friction. I present the equations which describe such a system and then look for solutions which describe a slip pulse propagatingthough a region which is uniformly stressed. Such a pulse will allow the entire interface to move forward and partially relieve the stress. I present the integral equation that such a pulse solution must satisfy, and then discuss the behavior observed in numericalsolutions of this equation.

Type
Research Article
Copyright
Copyright © Materials Research Society 1995

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] Burridge, R., and Knopoff, L.. Bull. Seis. Soc. Am. 57, 3411 (1967).Google Scholar
[2] Carlson, J.M., and Langer, J.S., Phys. Rev. A 40, 6470 (1989).Google Scholar
[3] Chen, K.. Bak, P., and Obukhov, S.P., Phys. Rev. A 43. 62.5 (1991); J.M. Carlson, J.S. Langer. B.E. Shaw and C. Tang, Phys. Rev. A 44. 884 (1991): Z. Olami. H.J.S. Feder and K. Christensen. Phys. Rev. Lett. 68. 1244 (1992); M. de Sousa Vieira. G.L. Vascon-elos and S.R. Nagel. Phys. Rev. E 47 2221 (1993).Google Scholar
[4] Rice, J.R. J. Geo. Res. 98, 9885 (1993).Google Scholar
[5] Lachenbruch, A., J. Geo. Res. 85. 6097 (1980).Google Scholar
[6] Shaw, B.E. (unpublished).Google Scholar
[7] Pepke, S. and Carlson, J.M., Phys. Rev. E 50. 236 (1994).Google Scholar
[8] Langer, J.S. and Tang, C.. Phys. Rev. Lett. 67, 1043 (1991).Google Scholar
[9] Myers, C.R. and Langer, J.S.. Phys. Rev. E 47, 3048 (1993).Google Scholar
[10] Langer, J.S. and Nakanishi, H., Phys. Rev. E 48, 439 (1993).Google Scholar