The mechanism of low-temperature plastic deformation is controlled by
thermally activated dislocation movements. An evolutionary constitutiv
e law based on the principles of deformation kinetics is described in
this article. The constitutive law is expressed with a sinh function d
esigned for computational efficiency. It is derived from rigorously de
fined kinetics principles. The approximation involved in the sinh func
tion is defined so that in applications an exact evaluation can be mad
e of the validity limits. The system of the constitutive law and the e
xternal constraints lead to the operational equations. Applications ar
e developed for constant strain-rate loading, constant stress-rate loa
ding, stress relaxation, creep, and ratchetting processes. The analysi
s provides a unified treatment for low-temperature plastic deformation
.