This paper presents a deformation kinetics approach to modelling dwell fatigue. The kinetics of dislocation pile-up is formulated as a competition between dislocation glide and climb. The continuously distributed dislocation theory is used to model the nucleation of Zener–Stroh– Koehler (ZSK) cracks in anisotropic materials. The mechanism of interaction between a fatigue crack and microZSK cracks is also elucidated and a dwell fatigue life equation is derived based on the above considerations. The model is validated using data reported in the literature.
SongZ. and HoeppnerD. W.: Int. J. Fatigue, 1988, 10, 211–218.
2.
MaierH. J.: Mater. High Temp., 1998, 15, 3–14.
3.
BacheM. R.: Int. J. Fatigue, 2003, 25, 1079–1087.
4.
EylonD. and HallJ. A.: Metall. Trans. A, 1977, 8A, 981–990.
5.
EvansW. J. and GostelowC. R.: Metall. Trans. A, 1979, 10A, 1837–1846.
6.
DavisonD. L. and EylonD.: Metall Trans. A, 1980, 11A, 837–843.
7.
BacheM. R., EvansW. J. and DavisH. M.: J. Mater. Sci., 1997, 32, 3435–3442.
8.
BacheM. R., DavisH. M. and EvansW. J.: Proc. 8th World Conf. on ‘Titanium’, Birmingham, UK, October 1995, IOM,1347–1354.
9.
StrohA. N.: Proc. R Soc. Lond A, 1954, 223A,404–414.
10.
BacheM. R., CopetM., DavisH. M., EvansW. J. and HarrisonG.: Int. J. Fatigue, 1997, 19, S83—S88.
11.
EvansW. J.: Scr. Metall, 1987, 21, 469–474.
12.
HarrisonG. F., TranterP. H., WinstoneM. R. and EvansJ. W.: Proc. 3rd Int. Conf. on ‘Creep and fracture of engineering materials and structures’, 615-622; 1987, London, IOM.
13.
WuX. J.: Int. J. Solids Struct., 2005, 42, (7), 1909–1921.
14.
WuX. J., KoulA. K. and KrauzA. S.: Metall Trans. A, 1993, 24A, 1373–1380.
15.
KrauszA. S. and EyringH.: ‘Deformation kinetics’; 1975, New York, John Wiley & Sons.