By Bruce A. Bolt
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R. Astron. Soc. 62, 591-604. Ewing, W. , Jardetzky, W. , and Press, F. (1957). " McGraw-Hill, New York. Freund, L. B. (1975). Dynamic crack propagation. In "The Mechanics of Fracture" (S. ), Vol. AMD-19, pp. 105-134. Am. Soc. Mech. , New York. Hanks, T. C (1982). / . Bull. Seismol. Soc. Am. 72, 1867-1880. Hanks, T. C , and McGuire, R. K. (1981). The character of high-frequency strong ground motion. Bull. Seismol. Soc. Am. 7 1 , 2071-2095. Harris, J. G. (1984). Wave-front approximations in a moving coordinate system.
To further simplify the analysis, we consider the point of observation to he in the plane of reflection symmetry */T(0). Observation points not quite in the symmetry plane are considered in the closing part of Appendix B. Finally, we adopt the convention that the distance (x/d + tan φ) is always positive; thus, the observation point lies ahead of the rupture front when φ is positive and behind when φ is negative. This is the same convention that we adopted earlier in the two-dimensional Love-wave calculation.
34). It is evaluated on the surface at r = R. 21) 28 J. D. ACHENBACH AND JOHN G. 22) cos 2a 2 T where y = cos 1 [(c /c )cosa]. 23) x The distance R, the angle 0, and the angle a are related to the position χ by Eqs. 13). In Eqs. 24a) cr a < a or α > (π - a ) . 24b) cr c r In the previous section, we discussed the influence of the caustic surface; therefore, it will be sufficient here to consider points χ on the surface that are not reached by rays emitted from A that graze the caustic surface. Thus, we shall assume that (1 4- cos OR/ρ) is positive.