Relationship Between the Threshold Stress Intensity Factor Ranges of the Material and the Transition From Short to Long Fatigue Crack

Strength of Materials - Tập 46 - Trang 360-374 - 2014
O. M. Herasymchuk1
1Pisarenko Institute of Problems of Strength, National Academy of Sciences of Ukraine, Kiev, Ukraine

Tóm tắt

A relationship between the threshold stress intensity factor ranges of the material is established for microstructurally short, physically small and long fatigue cracks depending on the microstructure at a symmetrical loading cycle. The threshold stress intensity factor ranges calculated by the proposed concept for titanium alloy VT3-1 in different structural states agree well with those determined experimentally. The criteria are proposed for the transition from a small to a long fatigue crack depending on the level of the applied load amplitude. In the whole range of the load amplitudes, the condition when a reversible plastic zone at the crack tip reaches the grain size is taken as a criterion for the transition from a physically small to a long fatigue crack. In the high cycle fatigue region, the physically small crack growth range is to be divided into two areas because of a change in the mechanisms of the physically small crack growth upon the attainment by the stress intensity factor range of the threshold value for the long crack.

Tài liệu tham khảo

V. V. Panasyuk (Ed.), Fracture Mechanics and Strength of Materials [in Russian], Handbook in 4 volumes, Vol. 4: O. N. Romaniv, S. Ya. Yarema, G. N. Nykyforchyn, et al., Fatigue and Cyclic Fracture Toughness of Structural Materials, Naukova Dumka, Kiev (1990). Standard Test Method for Measurements of Fatigue Crack Growth Rates, ASTM STP E647-00 (2000). Y. Akiniwa and K. Tanaka, “Statistical characteristics of propagation of small fatigue cracks in smooth specimens of aluminium alloy 2024-T3,” Mater. Sci. Eng. A, 104, 105–115 (1988). Guide to Methods for Assessing the Acceptability of Flaws in Metallic Structures, British Standard BS 7910 (2005). K. Tanaka, “Fatigue crack propagation,” Comp. Struct. Integr., 4, 95–127 (2003). D. Davidson, K. Chan, R.McClung, and S. Hudak, ”Small fatigue cracks,” Comp. Struct. Integr., 4, 129–164 (2003). K. J. Miller, “The behavior of short fatigue cracks and their initiation. Pt. II. General summary,” Fatigue Fract. Eng. Mater. Struct., 10, 93–113 (1987). K. Tanaka and Y. Akiniwa, “Modeling of fatigue crack growth: mechanistic models,” Comp. Struct. Integr., 4, 165–189 (2003). C. Santus and D. Taylor, “Physically short crack propagation in metals during high cycle fatigue,” Int. J. Fatigue, 31, 1356–1365 (2009). O. M. Herasymchuk, “A generalized grain-size dependence of the fatigue limit,” Strength Mater., 43, No. 2, 205–216 (2011). R. W. Hertzberg, “A simple calculation of data in the near-threshold regime and above,” Int. J. Fract., 64, R53–R58 (1993). K. S. Chan,“Variability of large-crack fatigue-crack-growth thresholds in structural alloys,” Met. Mater. Trans. A, 35A, 3721–3735 (2004). Y. Murakami “Analysis of stress intensity factors of modes I, II, and III for inclined surface cracks of arbitrary shape,” Eng. Fract. Mech., 22, No. 1, 101–114 (1985). A. J. McEvily, M. Endo, and Y. Murakami, “On the relationship and the short fatigue threshold,” Fatigue Fract. Eng. Mater. Struct., 26, 269–278 (2003). Y. Murakami, “High and ultrahigh cycle fatigue,” Comp. Struct. Integr., 4, 41–76 (2003). V. T. Troshchenko, B. À. Gryaznov, Yu. S. Nalimov, et al., “Fatigue strength and cyclic crack resistance of titanium alloy VT3-1 in different structural states. Communication 1. Study procedure and experimental results,” Strength Mater., 27, No. 5-6, 3–11 (1995). O. M. Herasymchuk, “Nonlinear relationship between the fatigue limit and quantitative parameters of material microstructure,” Int. J. Fatigue, 33, 649–659 (2011). O. M. Herasymchuk and O. V. Kononuchenko, “Model for fatigue life prediction of titanium alloys. Part 2. Model testing and analysis of obtained results,” Strength Mater., 45, No. 2, 163–170 (2013). O. M. Herasymchuk, Yu. S. Nalimov, P. E. Markovs’kyi, et al., “Effect of the microstructure of titanium alloys on the fatigue strength characteristics,” Strength Mater., 43, No. 3, 282–293 (2011). R. K. Nalla, B. L. Boyce, J. P. Campbell, et al., “Influence of microstructure on high-cycle fatigue of Ti–6Al–V: bimodal vs lamellar structures,” Met. Mater. Trans. A, 33A, 899–918 (2002). G. Lütjering and J. C. Williams, Titanium, Springer, New York (2003). J. P. Hirth and J. Lothe, Theory of Dislocations, 2nd edition, Wiley, New York (1982). J. Schijve, Fatigue of Structures and Materials, Springer, New York (2009). O. M. Herasymchuk and O. V. Kononuchenko, “Model for fatigue life prediction of titanium alloys. Part 1. Elaboration of a model of fatigue life prior to initiation of microstructurally short crack and a propagation model for physically short and long cracks,” Strength Mater., 45, No. 1, 44–55 (2013). H. Kitagawa and S. Takahashi, “Applicability of fracture mechanics to very small cracks or the cracks in the early stage,” in: Proc. of the Second Int. Conf. on Mechanical Behavior of Materials, ASM, Metals Park, OH (1976), pp. 627–631. M. M. El Haddad, K. N. Smith, and T. U. Topper, “Fatigue crack propagation of short cracks,” J. Eng. Mater. Technol., 101, No. 1, 42–46 (1979). V. T. Troshchenkî and L. À. Khamaza, “Conditions for the transition from nonlocalized to localized damage in metals and alloys. Part 1. Crack sizes at fatigue limit,” Strength Mater., 46, No. 3, 303–314 (2014). J. P. Lukas and W. W. Gerberich, “A proposed criterion for fatigue threshold: dislocation substructure approach,” Fatigue Fract. Eng. Mater. Struct., 6, 271–280 (1983). Yu. G. Matvienko, Models and Criteria of Fracture Mechanics [in Russian], Fizmatlit, Moscow (2006). G. R. Yoder, L. A. Cooley, and T. W. Crooker, “Quantitative analysis of microstructural effects on fatigue crack growth in widmanstatten Ti–6Al–4 V and Ti–8Al–1Mo–1 V,” Eng. Fract. Mech., 11, 805–816 (1979). G. R. Yoder, L. A. Cooley, and T. W. Crooker, “On microstructural control of near-threshold fatigue crack growth in 7000-series aluminum alloys,” Scr. Met., 16, 1021–1025 (1982).