In mechanical engineering, circular hole is used widely in structure design. When the
structure is overloaded or the load is changed regularly, cracks emerge and spread. Based on the
former study of dynamic stress concentration problem of SH wave by a crack originating at a
circular hole edge, in this paper, the method of Green’s function is used to investigate the problem
of dynamic stress intensity problem of double linear cracks near a circular hole impacted by
incident SH-wave. The train of thought for this problem is that: Firstly, a Green’s function is
constructed for the problem, which is a fundamental solution of displacement field for an elastic
space possessing a circular hole and a linear crack while bearing out-of-plane harmonic line source
force at any point; Secondly, in terms of the solution of SH-wave’s scattering by an elastic space
with a circular hole and a linear crack, anti-plane stresses which are the same in quantity but
opposite in direction to those mentioned before, are loaded at the region where the second crack is
in existent actually, we called this process “crack-division”; Finally, the expressions of the
dynamic stress intensity factor(DSIF) of the cracks are given when the circular hole and double
linear crack exist at the same time. Then, by using the expressions, an example was provided to
show the effect of circular hole and cracks on the dynamic stress intensity factor of the cracks.