The method of discrete dislocation plasticity was extended here so as to include explicitly the thermal effects of moving dislocations. In this way, the localization of heat during fast deformation could be calculated exactly. The thermal effects which were included were thermal dissipation due to dislocation drag, the temperature dependence of the drag coefficients themselves and a temperature-dependent obstacle strength which involved a simple Arrhenius-type relationship. An analytical solution was presented, and the temperature distribution was calculated by using a time-dependent Galerkin finite-element solution. The 2 solutions were compared, and led to mutual validation. Stress-strain curves were calculated, under simple shear, for constant temperatures of 100, 298 or 900K. The stress-strain curves reflected the temperature dependence of the drag coefficients, since deformation took place at a strain rate of 106/s; which was well within the drag-controlled regime.

Temperature Rise due to Fast-Moving Dislocations. J.T.M.De Hosson, A.Roos, E.D.Metselaar: Philosophical Magazine A, 2001, 81[5], 1099-120