As. Krausz et K. Krausz, THE DEFORMATION KINETICS THEORY OF THE STRESS DEPENDENCE OF PLASTIC-DEFORMATION, Acta metallurgica et materialia, 42(3), 1994, pp. 937-945
The fact that plastic deformation is controlled by thermally activated
processes leads to the physically rigorous conclusions that the mecha
nisms are defined either by a single rate constant or by the kinetics
combination of rate constants. For the determination of the kinetics-t
hat is, for the establishment of the functional relation of the stress
dependence of the work, experiments have to be carried out. When the
test results are plotted in the coordinate systems of logarithm of str
ain rate vs linear stress, also logarithm of strain rate versus linear
reciprocal temperature, the behavior exhibited by the two plots defin
es the nature of the stress dependence of the work. The kinetics analy
sis of the two representations leads to the functional expression of t
he constitutive law in physically exact and rigorous expressions. Appl
ications to typical mechanisms are discussed: plasticity limited by di
screte obstacles; lattice diffusion controlled creep; dislocation core
diffusion controlled creep; plasticity limited by lattice resistance.