How strong is the temperature increase due to a moving dislocation?

This article calculates the temperature increase resulting from the motion of a dislocation. The temperature rise is ascribed to two separate effects, both of which are calculated: the dissipative effect resulting from the energy lost by the dislocation as it overcomes the intrinsic lattice resistance to its motion; and the thermomechanical effect arising from the constrained changes in volume the dilatational field of a moving dislocation may entail. The dissipative effect is studied in an uncoupled continuum solid, whilst the thermomechanical effect is studied in a fully coupled thermo-elastodynamic continuum. Explicit solutions are provided, as well as asymptotic estimates of the temperature field in the immediacy of the dislocation core.