Plastic deformation of polymers is accompanied by increasing temperature owing to the transformation of mechanical work for the deformation into heat. The effect of the strain rate on the heating of uniformly deforming polymer films is analyzed theoretically. A formula describing the heating value is derived. As in the case of a frontal spreading of the neck, an increase in the strain rate upon a uniform deformation results in the transition from an isothermal process to an adiabatic one. The rate of the transition to adiabatic strain conditions increases with a growth of deformation. As compared to the neck spreading process, the transition is shifted toward higher strain rates. At low elastic deformations and usual rate values, the strain proceeds in an adiabatic regime.