The effects of the dislocation pattern formed due to the self-organization of the dislocations in crystals on the macroscopic hardening and dy-namic internal friction (DIF) during deformation are studied. The classic dislocationmodels for the hardening and DIF corresponding to the homogeneous dislocation con-figuration are extended to the case for the non-homogeneous one. In addition, usingthe result of dislocation patterning deduced from the non-linear dislocation dynamicsmodel for single slip, the correlation between the dislocation pattern and hardeningas well as DIF is obtained. It is shown that in the case of the tension with a constantstrain rate, the bifurcation point of dislocation patterning corresponds to the turningpoint in the stress versus strain and DIF versus strain curves. This result along withthe critical characteristics of the macroscopic behavior near the bifurcation point ismicroscopically and macroscopically in agreement with the experimental findings onmono-crystalline pure aluminum at temperatures around 0.5T_m. The present studysuggests that measuring the DIF would be a sensitive and useful mechanical meansin order to study the critical phenomenon of materials during deformation.
The effects of the dislocation pattern formed due to the self-organization of the dislocations in crystals on the macroscopic hardening and dynamic internal friction (DIF) during deformation are studied. The classic dislocation models for the hardening and DIF corresponding to the homogeneous dislocation configuration are extended to the case for the non-homogeneous one. In addition, using the result of dislocation patterning deduced from the non-linear dlislocation dynamics model for single slip, the correlation between the dislocation pattern and hardening as well as DIF is obtained. It is shown that in the case of the tension with a constant strain rate, the bifurcation point of dislocation patterning corresponds to the turning point in the stress versus strain and DIF versus strain curves. This result along with the critical characteristics of the macroscopic behavior near the bifurcation point is microscopically and macroscopically in agreement with the experimental findings on mono-crystalline pure aluminum at temperatures around 0.5T(m). The present study suggests that measuring the DIF would be a sensitive and useful mechanical means in order to study the critical phenomenon of materials during deformation.