Rupture models with dynamically determined breakdown displacement
Bulletin of the Seismological Society of America
By: D.J. Andrews
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Abstract
The critical breakdown displacement, Dc, in which friction drops to its sliding value, can be made dependent on event size by specifying friction to be a function of variables other than slip. Two such friction laws are examined here. The first is designed to achieve accuracy and smoothness in discrete numerical calculations. Consistent resolution throughout an evolving rupture is achieved by specifying friction as a function of elapsed time after peak stress is reached. Such a time-weakening model produces Dc and fracture energy proportional to the square root of distance rupture has propagated in the case of uniform stress drop. The second friction law is more physically motivated. Energy loss in a damage zone outside the slip zone has the effect of increasing Dc and limiting peak slip velocity (Andrews, 1976). This article demonstrates a converse effect, that artificially limiting slip velocity on a fault in an elastic medium has a toughening effect, increasing fracture energy and Dc proportionally to rupture propagation distance in the case of uniform stress drop. Both the time-weakening and the velocity-toughening models can be used in calculations with heterogeneous stress drop.
Suggested Citation
Andrews, D., 2004, Rupture models with dynamically determined breakdown displacement: Bulletin of the Seismological Society of America, v. 94, no. 3, p. 769-775, https://doi.org/10.1785/0120030142.
ISSN: 1943-3573 (online)
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Rupture models with dynamically determined breakdown displacement |
| Series title | Bulletin of the Seismological Society of America |
| DOI | 10.1785/0120030142 |
| Volume | 94 |
| Issue | 3 |
| Year Published | 2004 |
| Language | English |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Bulletin of the Seismological Society of America |
| First page | 769 |
| Last page | 775 |