13th International Conference on Fracture June 16–21, 2013, Beijing, China -7- as we increase a stress-weakening parameter c. As to the patch length with the revised RSF, it is obviously larger than the theoretical length 2Lν with the aging law in eq. (5) that is just a few digits in the normalized position in Fig. 5. The newly incorporated stress dependent term brought significant effects on the fixed-length path regime: the wider a/b range and the larger patch length. As to these results, a clear explanation has not been come up with. Figure 5. Snapshots of slip rate simulated with the revised RSF: (upper panels) cases with c=2.0, and (lower) cases with c=4.0 (from left to right: a/b=0.90, 0.85, 0.80, 0.75). All the vertical axes are in the same scale. A length scale 2Lb-a is plotted for reference by thick dashed line. Figure 6. Nucleation regimes in 2-D simulation of quasi-static nucleation on RSF faults. The nucleation icons are from figure 1 of Rubin and Ampuero [6] in the aging law and figures 5 and 7 of Ampuero and Rubin [7] in the slip law. 4. Discussion The simulated nucleation length was compared with the theoretically predicted value 2Lν and was
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