References
325
where τ m is the maximum tangential stress, and the function ψ(τ i , τ m ) is set by the
formula
ψ(τ i , τ m ) =
f (τ i ) − mτ m
1 − m
, (m − const),
(22.7)
since the conditions (22.6)–(22.7) and (22.2) are identical. The function ψ defined
by formula (22.7) will be called a generalized function of elastic softening.
References
1. A. Kottrell, Effect of Solute Atoms on the Behavior of Dislocations (Strength of Solids Publ.,
Bristol, 1947)
2. M. Leonov, Osnovnye postulaty teorii plastichnosti (The basic postulates of the theory of
plasticity).DAN SSSR [Reports of the USSR Academy of Sciences], no. 1, vol. 199 (1971),
pp. 51–54
3. E. Lomakin, A. Mel’shanov, Povedenie malouglerodistoi stali pri rastyazhenii (Behavior of low
carbon steel at stretching). Izv. AN SSSR, Mekhan. tv. tela, No. 4 (1971), pp. 150–158
4. D. Mak Lin, Mekhanicheskie svoistva metallov (Mechanical properties of metals). (Metallurgiya
Publ., Moscow, 1965)
325
where τ m is the maximum tangential stress, and the function ψ(τ i , τ m ) is set by the
formula
ψ(τ i , τ m ) =
f (τ i ) − mτ m
1 − m
, (m − const),
(22.7)
since the conditions (22.6)–(22.7) and (22.2) are identical. The function ψ defined
by formula (22.7) will be called a generalized function of elastic softening.
References
1. A. Kottrell, Effect of Solute Atoms on the Behavior of Dislocations (Strength of Solids Publ.,
Bristol, 1947)
2. M. Leonov, Osnovnye postulaty teorii plastichnosti (The basic postulates of the theory of
plasticity).DAN SSSR [Reports of the USSR Academy of Sciences], no. 1, vol. 199 (1971),
pp. 51–54
3. E. Lomakin, A. Mel’shanov, Povedenie malouglerodistoi stali pri rastyazhenii (Behavior of low
carbon steel at stretching). Izv. AN SSSR, Mekhan. tv. tela, No. 4 (1971), pp. 150–158
4. D. Mak Lin, Mekhanicheskie svoistva metallov (Mechanical properties of metals). (Metallurgiya
Publ., Moscow, 1965)