The size of the dislocation cells produced by deformation at the fatigue crack tip in copper specimens was used as a measure of the crack tip stress amplitude. Using the cyclic stress-strain curve, the values of the crack tip plastic strain amplitude and their dependence on the macroscopic stress intensity factor were obtained. While the fatigue crack propagation rate expressed as a function of the stress intensity factor is strongly influenced by the testing temperature and frequency, it is almost independent of these parameters when expressed in terms of the crack tip plastic strain amplitude. The results of a finite element computation led to the same conclusion.