Abstract
This article presents results on the development of a microstructure-based fatigue-crack-initiation model which includes explicit crack-size and microstructure-scale parameters. The current status of microstructure-based fatigue-crack-initiation models is briefly reviewed first. Tanaka and Mura’s models for crack initiation at slipbands and inclusions are then extended to include crack size and relevant microstructural parameters in the response equations. The microstructure-based model for crack initiation at slipbands is applied to predicting the crack size at initiation, small-crack behavior, and notch fatigue in structural alloys. The calculated results are compared against the experimental data for steels and Al-, Ti-, and Ni-based alloys from the literature to assess the range of predictability and accuracy of the fatigue-crack-initiation model. The applicability of the proposed model for treating variability in fatigue-crack-initiation life due to variations in the microstructure is discussed.
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References
K. Tanaka and T. Mura: ASME J. Appl. Mech., 1981, vol. 48, pp. 97–103.
K. Tanaka and T. Mura: Metall. Trans. A, 1982, vol. 13A, pp. 117–23.
B.A. Cowles: Mater. Sci. Eng., 1988, vol. A103, pp. 63–69.
J.-P. Bailon and S.D. Antolovich: in Fatigue Mechanisms: Advances in Quantitative Measurements of Physical Damage, ASTM STP 811, J. Lankford, D.L. Davidson, W.L. Morris, and R.P. Wei, eds., ASTM, Philadelphia, PA, 1983, pp. 313–49.
K.S. Chan: Metall. Trans. A, 1993, vol. 24A, pp. 2473–86.
K.S. Chan and T.-Y. Torng: ASME Trans., J. Eng. Mater. Technol., 1996, vol. 118, pp. 379–86.
R. Tyron and T.A. Cruse: ASME J. Eng. Mater. Technol., 1997, vol. 119, pp. 65–70.
G. Venkataraman, Y.W. Chung, and T. Mura: Acta Metall. Mater., 1991, vol. 39, pp. 2621–29.
G. Venkataraman, Y.W. Chung, and T. Mura: Acta Metall. Mater., 1991, vol. 39, pp. 2631–38.
M.R. Mitchell: in Fatigue and Microstructure, M. Meshii, ed., ASM, Metals Park, OH, 1978, pp. 385–437.
L.F. Coffin, Jr.: Trans. ASME, 1954, vol. 76, pp. 931–50.
S.S. Manson and M.H. Hirschberg: in Fatigue: An Inter-Disciplinary Approach, Syracuse University, Syracuse, NY, 1964, pp. 133–78.
N. Thompson, N.J. Wadsworth, and N. Louat: Phil. Mag., 1956, vol. 1, pp. 113–26.
J.C. Grosskreutz: in Metal Fatigue Damage—Mechanism, Detection, Avoidance, and Repair, ASTM STP 495, S.S. Manson, ed., ASTM, Philadelphia, PA, 1971, pp. 5–60.
C. Laird: in Fatigue and Microstructure, M. Meshii, ed., ASM, Metals Park, OH, 1978, pp. 149–203.
M.E. Fine and R.O. Ritchie: in Fatigue and Microstructure, M. Meshii, ed., ASM, Metals Park, OH, 1978, pp. 245–78.
L. Remy: in Fatigue 84, C.J. Beevers, ed., EMAS, Warley, United Kingdom, 1984, vol. I, pp. 15–30.
A.S. Cheng and C. Laird: Fat. Fract. Eng. Mater. Struct., 1981, vol. 4, pp. 343–53.
A. Saxena and S.D. Antolovich: Metall. Trans. A, 1975, vol. 6A, pp. 1809–28.
K. Tanaka and T. Mura: Mech. Mater., 1981, vol. 1, pp. 63–73.
M.R. Lin, M.E. Fine, and T. Mura: Acta Metall., 1986, vol. 34, pp. 619–28.
G. Venkataraman, Y.-W. Chung, Y. Nakasone, and T. Mura: Acta Metall. Mater., 1990, vol. 38, pp. 31–40.
T. Mura and Y. Nakasone: J. Appl. Mech., 1990, vol. 57, pp. 1–6.
T. Mura: Mater. Sci. Eng., 1994, vol. A176, pp. 61–70.
K.S. Chan: Scripta Metall. Mater., 1995, vol. 32 (2), pp. 235–40.
R. Chang, W.L. Morris, and O. Buck: Scripta Metall., 1979, vol. 13, pp. 191–94.
C. Ihara and T. Tanaka: Fat. Fract. Eng. Mater. Struct., 2000, vol. 23, pp. 375–80.
S.E. Harvey, P.G. Marsh, and W.W. Gerberich: Acta Metall. Mater., 1994, vol. 42, pp. 3493–3502.
Isomoto and N. Stoloff: Mater. Sci., 1990, vol. A124, pp. 171–81.
W. Wei, H. Flöge, and E.E. Affeldt: Scripta Metall. Mater., 1991, vol. 25, pp. 1757–61.
N. Dowling: Fat. Eng. Mater. Struct., 1979, vol. 2, pp. 129–38.
S. Taira, K. Tanaka, and M. Hoshina: Fatigue Mechanisms, ASTM STP 675, ASTM, Philadelphia, PA, 1979, pp. 135–73.
R.S. Bellows: Improved High Cycle Fatigue Life Prediction, Final Report No. F33615-96-C-5269, University of Dayton Research Institute, Dayton, OH, 2001.
K.S. Chan and D.S. Shih: Metall. Mater. Trans. A, 1997, vol. 28A, pp. 79–90.
K.S. Chan and D.S. Shih: Metall. Mater. Trans. A, 1998, vol. 29A, pp. 73–87.
J.M. Larsen: Air Force Research Laboratory, Wright-Patterson Air Force Base, Dayton, OH, unpublished research, 2001.
E.A. Starke, Jr. and G. Lütjering: in Fatigue and Microstructure, M. Meshii, ed., ASM, Metals Park, OH, 1978, pp. 205–43.
L. Jiang, C.R. Brooks, P.K. Liaw, and D.L. Klarstrom: in Superalloys 2000, T.M. Pollock, R.D. Kissinger, R.R. Bowan, K.A. Green, M. McLean, S. Olson, and J.J. Schirra, eds., TMS, Warrendale, PA, 2000, pp. 583–91.
W. Hessler, H. Müllner, B. Weiss, and R. Sticker: Met. Sci., 1981, vol. 15, pp. 235–40.
S. Usami: in Small Fatigue Crack, R.O. Ritchie and J. Lankford, eds., TMS, Warrendale, PA, 1986, pp. 559–83.
L. Wagner, J.K. Gregory, A. Gysler, and G. Lütjering: in Small Fatigue Cracks, R.O. Ritchie and J. Lankford, eds., TMS, Warrendale, PA, 1986, pp. 117–28.
G.C. Smith: Proc. R. Soc., 1957, vol. A242, pp. 189–97.
K. Tanaka, M. Hojo, and Y. Nakai: in Fatigue Mechanisms: Advances in Quantitative Measurement of Physical Damage, ASTM STP811, J. Lankford, D.L. Davidson, W.L. Morris, and R.P. Wei, eds., ASTM, Philadelphia, PA, 1983, pp. 207–32.
T. Kunio and K. Yamada: in Fatigue Mechanisms, ASTM STP675, J.T. Fong, ed., ASTM, Philadelphia, PA, 1979, pp. 342–70.
T.E. McGreevy and D.F. Socie: Fat. Fract. Eng. Mater. Struct., 1999, vol. 22.
M. Peters, A. Gysler, and G. Luetjering: in Titanium ’80 Science and Technology, H. Kimura and O. Izumi, eds., AIME, Warrendale, PA, 1980, vol. 3, pp. 1777–85.
X. Demuslant and J. Mendez: Fat. Fract. Eng. Mater. Struct., 1995, vol. 18, pp. 1483–97.
D.L. Davidson and K.S. Chan: Acta Metall., 1989, vol. 37 (4), pp. 1089–97.
D.L. Davidson and S.J. Hudak, Jr.: Metall. Mater. Trans. A, 1995, vol. 26A, pp. 2247–57.
D.L. Davidson: Fat. Fract. Eng. Mater. Struct., 2000, vol. 23, pp. 445–52.
B. Weiss, R. Stickler, and A. Fathulla: in Short Fatigue Cracks, R.O. Ritchie and J. Lankford, eds., TMS, Warrendale, PA, 1986, pp. 471–97.
D.A. Jablonski: Mater. Sci. Eng., 1981, vol. 48, pp. 189–98.
S.P. Bhat, R.S. Cline, and Y.-W. Chung: M.E. Fine Symp., P.K. Liaw, J.R. Weertman, H.L. Marcus, and J.S. Santner, eds., TMS, Warrendale, PA, 1991, pp. 49–59.
Y.N. Lenets: Improved High Cycle Fatigue Life Prediction, Final Report No. F33615-96-C-5269, University of Dayton Research Institute, Dayton, OH, 2001, Appendix 3C.
R.E. deLaneuville and J.W. Sheldon: Improved High Cycle Fatigue Life Prediction, Final Report No. F33615-96-C-5269, University of Dayton Research Institute, Dayton, OH, 2001, Appendix 3B.
H. Neuber: Theory of Notch Stress, translated by F.A. Raven, Edwards, Ann Arbor, MI, 1946.
M.M. Hammouda, R.A. Smith, and K.J. Miller: Fat. Eng. Mater. Struct., 1979, vol. 2, pp. 139–54.
M.A. Moshier, T. Nicholas, and B.M. Hillberry: Fatigue and Fracture Mechanics, ASTM STP 1417, W.G. Reuter and R.S. Piascik, eds., ASTM, West Conshohocken, PA, 2002, vol. 33, in press.
G.R. Yoder, L.A. Cooley, and T.W. Crooker: Fracture Mechanics: 16th Symposium, ASTM STP868, M.F. Kanninen and A.T. Hopper, eds., ASTM, Philadelphia, PA, 1985, pp. 392–405.
G.R. Yoder, L.A. Cooley, and T.W. Crooker: Proc. 23rd Structures, Structural Dynamics and Materials Conf., CP823, Part 1, American Institute of Aeronautics and Astronautics, New York, NY, 1982, pp. 132–36.
G.R. Yoder, L.A. Cooley, and R.R. Boyer: in Microstructure, Fracture Toughness and Fatigue Crack Growth Rate in Titanium Alloys, A.K. Chakrabarti and J.C. Chesnutt, eds., TMS, Warrendale, PA, 1987, pp. 209–29.
S.S. Manson: Exper. Mech., 1965, vol. 5, pp. 193–226.
J.C. Grosskreutz and G.G. Shaw: Technical Report No. 66–96, Air Force Materials Laboratory, Wright-Patterson Air Force Base, Dayton, OH, May 1966.
S.S. Manson and M.H. Hirschberg: Technical Note D-3146, NASA, Cleveland, OH, June 1967.
N.E. Frost and D.S. Dugdale: J. Mech. Phys. Solids, 1957, vol. 5, pp. 182–92.
M.H. El Haddad, T.H. Hopper, and K.N. Smith: Eng. Fract. Mech., 1979, vol. 11, pp. 573–84.
K. Tanaka and Y. Nakai: Fat. Eng. Mater. Struct., 1983, vol. 6, pp. 315–27.
P. Lukas and M. Klesnil: Mater. Sci. Eng., 1978, vol. 34, pp. 61–68.
A.A. Griffith: Phil. Trans. R. Soc. A, 1921, vol. 22A, pp. 163–98.
E. Orowan: Rep. Progr. Phys., 1948, vol. XII, p. 185.
G.R. Irwin: Fracturing of Metals, ASM, Cleveland, OH, 1948, pp. 147–66.
P.K. Liaw, M.E. Fine, and D.L. Davidson: Fat. Eng. Mater. Struct., 1980, vol. 3, pp. 59–74.
P.K. Liaw, S.I. Kwun, and M.E. Fine: Metall. Trans. A, 1981, vol. 12A, pp. 49–55.
M.E. Fine and D.L. Davidson: in Fatigue Mechanisms, J. Lankford et al., eds., ASTM STP811, Philadelphia, PA, 1983, pp. 350–70.
D.L. Davidson and J. Lankford: in Environment-Sensitive Fracture of Engineering Materials, Z.A. Foroulis, ed., TMS-AIME, Warrendale, PA, 1977, pp. 581–94.
D.L. Davidson: Morris E. Fine Symp., P.K. Liaw, J.R. Weertman, H.L. Marcus, and J.S. Santner, eds., TMS, Warrendale, PA, 1991, pp. 355–62.
S.R. Bodner, D.L. Davidson, and R.J. Lanford: Eng. Fract. Mech., 1983, vol. 17, pp. 189–91.
D.F. Socie, N.E. Dowling, and P. Kurath: Fracture Mechanics: 15th Symp., ASTM STP833, R.I. Sanford, ed., ASTM, Philadelphia, PA, 1984, pp. 284–99.
J.G. Antonopoulus, L.M. Brown, and A.T. Winter: Phil. Mag., 1976, vol. 34, pp. 549–63.
U. Essman and H. Mughrabi: Phil. Mag., 1979, vol. 40, pp. 731–56.
P.J.E. Forsyth: Proj. R. Soc., 1957, vol. A242, pp. 198–202.
Y. Dai, N. Marchand, and M. Hongoh: Can. Aero. Space J., 1993, vol. 39, pp. 35–44.
J. Kestin and J.R. Rice: Proc. Critical Review of Thermodynamics Symposium, E.B. Stuart, G.-O. Benjamin, and A.J. Brainard, eds., University of Pittsburgh School of Engineering Publication, Pittsburgh, PA, 1970, pp. 275–98.
J.R. Rice: J. Appl. Mech., 1970, vol. 37, pp. 728–37.
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Chan, K.S. A microstructure-based fatigue-crack-initiation model. Metall Mater Trans A 34, 43–58 (2003). https://doi.org/10.1007/s11661-003-0207-9
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DOI: https://doi.org/10.1007/s11661-003-0207-9