13th International Conference on Fracture June 16–21, 2013, Beijing, China -8- (28) and A=ln(1+ !) / (1! !) M=ln[1+ !"/ (1! !")] (29) so that (30) (31) (32) (33) The fracture criterion (34) Is used, in which K IIC ! K IC =2.81MPaim1/2 3.1.1 Earthquake example 1: Interaction between Xingtai fault and Hejian fault The Xingtai fault and Hejian fault with and Ms7.1 Xingtai earthquake in N37.5 , E115.1 happened on March 8, 1966 with the stress drop bar. Substituting into (34) can determine the critic stress which is !c =3.4bar. Because bar bar, this means the Xingtai earthquake can induce the Hejian fault to occur earthquake. In fact, the Ms 6.3Hejian earthquake happened on March 2, 1967. 3.1.2 Earthquake example 2: Interaction between Tangshan fault and Luanxian fault The Tangshan fault and Luanxian fault with and Ms 7.8 Tangshan earthquake in N38.5 , E118.7 happened on July 28, 1976 with the stress drop bar. Substituting into (25) can determine the critic stress that is bar. Because bar bar, this means the Tangshan earthquake can induce the Luanxian fault to occur earthquake. In fact, the Ms7.1 Luanxian earthquake happened on July 29, 1976 (only 15 hours after the main shock of Tangshan earthquake). 3.2 The dynamic fracture analysis The dynamic fracture analysis is also carried out in which the wave equations (21~22) are used, and the initial and boundary value conditions are as follows
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