This paper investigates the singular integral equation method for examining
the stress intensity factor and the T-stress in the asymptotic solution of a
kinked crack with an infinitesimal kink length. A numerical technique for the
branch crack problem is introduced, which depends upon distribution of
dislocation along the crack face. The technique reduces the branch crack
problem to the solution of a singular integral equation. The kinked cracked
problem can be considered as a particular case of the branch crack, and this
problem can be solved by using the suggested technique. It is found from the
computed results that the available asymptotic solution can give qualitatively
correct results for stress intensity factors and the T-stress. In addition, the
available asymptotic solution can only give sufficiently accurate results in
a narrow range of the length of the kinked portion and the inclined kink
angle.