The interaction between edge dislocations around the tip of a crack ha
s been analyzed analytically and numerically. It is found that when th
ese dislocations are placed on a cylinder around the crack tip with th
eir slip planes all passing through the tip, the slip force exerted on
a dislocation by another dislocation and its images is zero regardles
s of their locations on the cylinder. Inside as well as outside this c
ylinder other zero-slip-force positions also exist. The results show t
hat a plastic zone around a crack tip is stable.