L. Shi et Do. Northwood, ON DISLOCATION LINK LENGTH STATISTICS FOR CONSTANT STRAIN-RATE DEFORMATION, Physica status solidi. a, Applied research, 140(1), 1993, pp. 87-95
A model based on the dislocation link length statistics of the three-d
imensional dislocation network structure is used to analyse high-tempe
rature constant strain rate deformation of crystalline materials. In p
articular, the strain rate change during steady-state constant strain
rate deformation is studied in some detail. It is shown that the corre
sponding change in the flow stress, Delta sigma, associated with an in
stantaneous change, Delta epsilon, in the imposed strain rate of an ot
herwise constant strain rate, epsilon, at a given temperature follows
the Haasen relation in that the (Delta sigma/Delta 1n epsilon) versus
sigma plot is linear with the slope being equal to the strain rate sen
sitivity, m (Cottrell-Stokes law). The material parameters are also ex
amined in the light of the model results and previous mechanical measu
rements. It is shown that the model produces constant strain rate sens
itivity values for constant strain rate deformation. Agreement between
model predictions and reported data is reasonably good.