SH-wave generation by dislocation sources—A numerical study

1979 ◽  
Vol 69 (1) ◽  
pp. 1-15 ◽  
Author(s):  
Robert B. Herrmann
Keyword(s):  
Real Axis ◽  
Numerical Study ◽  
Numerical Technique ◽  
Far Field ◽  
Sh Wave ◽  
The Real ◽  
Relative Contribution ◽  
Time Histories ◽  
Point Dislocation ◽  
Dislocation Sources

abstract A numerical technique is presented for attaining the SH-wave contribution to tangential displacements due to point dislocation sources in a plane layered Earth. The method uses contour integration in the complex k-plane and includes the contribution of branch line integrals along the real and imaginary axes of the k-plane as well as poles along the real axis. Examples are provided to illustrate the effect of neglecting the P-SV contribution to tangential displacements, the effect of improper truncation in estimating far-field time histories, as well as the relative contribution of the various singularities in the complex k-plane to the solution.

Interaction Between Interfacial Cavity/Crack and Internal Crack—Part II: Simulation

2003 ◽  
Vol 72 (3) ◽  
pp. 394-399 ◽  
Author(s):  
P. B. N. Prasad ◽  
Norio Hasebe ◽  
X. F. Wang
Keyword(s):  
Stress Intensity Factor ◽  
Integral Equation ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Singular Integral Equation ◽  
Internal Crack ◽  
Uniform Loading ◽  
Distributed Dislocation ◽  
Point Dislocation ◽  
Dislocation Technique

This paper discusses the interaction of an interfacial cavity/crack with an internal crack in a bimaterial plane under uniform loading at infinity. The point dislocation solution is used to simulate internal crack by using the distributed dislocation technique. The resulting singular integral equation is solved numerically and the stress intensity factor variations are plotted for some cases of internal crack interacting with interfacial cavity/crack.

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