Sg. Sun et Kc. Hwang, NONPROPORTIONAL CYCLIC HARDENING OF POLYCRYSTALLINE MATERIALS, Fatigue & fracture of engineering materials & structures, 18(2), 1995, pp. 281-292
A previously proposed single crystal hardening law is applied to the p
rediction of responses of polycrystalline material under non-proportio
nal cyclic loading. In this paper, the Kroner, Budiansky and Wu model
is adopted and the relevant numerical schemes for both the iteration r
elated to the nonproportional loading paths acid the search of active
slip systems are established. Two typical engineering materials: oxyge
n-free, high-conductivity (OFHC) copper and 316 stainless steel, which
differ greatly from each other in microstructure, are used for predic
tions and comparisons with experiments. Loading paths include the symm
etric tension-compression cycle, the circular cycle and the rectangula
r cycle. The behaviour of 316 stainless steel, at both room and elevat
ed temperature is modelled. Comparisons show that the predictions are
in quantitative agreement with the corresponding experiments for all t
he cases mentioned above. In addition, comparisons of different single
crystal hardening laws are also presented.