Crack growth is studied numerically for cases where fracture occurs by atom
ic separation, sc that the length scale of the fracture process is typicall
y much smaller than the dislocation spacing. Thus, the crack growth mechani
sm is brittle, but due to plastic flow at some distance from the crack tip,
the materials show crack growth resistance. It is shown here that the resi
stance is strongly dependent on the value of the non-singular T-stress, act
ing parallel to the crack plane. The numerical technique employed makes use
of a thin dislocation-free strip of elastic material inside which the crac
k propagates, with the material outside described by continuum plasticity.
Thus the width of the strip is a material length scale comparable to the di
slocation spacing or the dislocation cell size.