Автори: 
Герасимчук Олег Миколайович
Завідувач відділу Втоми і тріщиностійкості конструкційних матеріалів Інституту проблем міцності імені Г.С.Писаренка Національної академії наук України, Київ, Україна;
Доктор технічних наук;
Старший науковий співробітник;
Scopus Author ID: https://www.scopus.com/authid/detail.uri?authorId=57197739466
Кононученко Олег Васильович 
Старший науковий співробітник відділу Втоми і тріщиностійкості конструкційних матеріалів Інституту проблем міцності імені Г.С.Писаренка Національної академіяї наук України, Київ, Україна;
Кандидат технічних наук;
Старший дослідник;
Scopus Author ID: https://www.scopus.com/authid/detail.uri?authorId=6504101245
Рецензенти:
Шукаєв Сергій Миколайович, професор кафедри динаміки і міцності машин та опору матеріалів Національного технічного університету України “Київський політехнічний інститут” імени Ігоря Сікорського, Київ, Україна;
Доктор технічних наук; Професор;
Scopus Author ID: https://www.scopus.com/authid/detail.uri?authorId=6602981678
Марковський Павло Євгенович, завідувач відділу Фізики міцності та пластичності негомогенних металевих матеріалів Інституту металофізики iм. Г.В. Курдюмова Національної академії наук України, Київ, Україна;
Доктор технічних наук;
Старший науковий співробітник;
Scopus Author ID: https://www.scopus.com/authid/detail.uri?authorId=6602146735
Презентована праця присвячена розробленню моделі втомного руйнування, яка дає можливість розраховувати кількість циклів навантаження до ініціювання і під час росту втомної тріщини за даними про характеристики статичної міцності і мікроструктури матеріалу. У першому розділі розглянуто сучасні уявлення про механізми зародження та росту втомної тріщини і проаналізовано сучасні моделі для прогнозування втомної довговічності. У другому розділі наведено дані про матеріали для досліджень, описано методики та результати випробувань зразків. Третій розділ присвячено розробці моделі для розрахунку втомної довговічності зразків із концентратором напружень під час циклічного навантаження з постійним і змінним розмахом напружень циклу. У четвертому розділі наведено приклади застосування моделі для зразків із різних конструкційних сплавів.
Література:
Розділ 1
- В.Т. Трощенко, Г.В. Цыбанев, Б.А. Грязнов и Ю.С. Налимов, Прочность материалови конструкций, т. 2, Усталость металлов. Влияние состояния поверхности и контактного взаимодействия, Институт проблем прочности, Киев (2009).
- M. Klesnil and P. Lukas, Fatigue of metallic materials, 71, Elsevier Scientific Publishing Company, New York (1980).
- K.J. Miller, ≪The behaviour of short fatigue cracks and their initiation. Part II: General summary≫, Fatigue Fract. Eng. Mater. Struct., 10, 93-113 (1987). https://doi.org/10.1111/j.1460-2695.1987.tb01153.x
- D.L. Davidson and K.S. Chan, ≪Crystallography of fatigue crack initiation in Astroloy at ambient temperature≫, Acta Metall., 37, 1089-1097 (1989). https://doi.org/10.1016/0001-6160(89)90105-3
- K.S. Chan, ≪A microstructure-based fatigue-crack-initiation model≫, Metall. Mater.Trans. A, 34A, 43-58 (2003). https://doi.org/10.1007/s11661-003-0207-9
- K.S. Chan, ≪Variability of large-crack fatigue-crack-growth thresholds in structural alloys≫, Metall. Mater. Trans. A, 35A, 3721-3735 (2004). https://doi.org/10.1007/s11661-004-0278-2
- G. Lutjering and J.C. Williams, Titanium, Springer, New York (2003).
- K.S. Chan, ≪Roles of microstructure in fatigue crack initiation≫, Int. J. Fatigue, 32, 1428-1447 (2010). https://doi.org/10.1016/j.ijfatigue.2009.10.005
- K. Tanaka and T. Mura, ≪A dislocation model for fatigue crack initiation≫, ASME, J.Appl. Mech., 48, 97-103 (1981). https://doi.org/10.1016/S0020-1693(00)90074-4
- K.J. Miller, ≪The two thresholds of fatigue behaviour≫, Fatigue Fract. Eng. Mater. Struct., 16 (9), 931-939 (1993). https://doi.org/10.1111/j.1460-2695.1993.tb00129.x
- J. Schijve, ≪Fatigue of structures and materials in the 20th century and the state of the art≫, Int. J. Fatigue, 25, 679-702 (2003). https://doi.org/10.1016/S0142-1123(03)00051-3
- J.A. Ewing and J.C. Humfrey, ≪The fracture of metals under repeated alternations of stress≫, Philos. Trans. R. Soc., 241-250 (1903). https://doi.org/10.1098/rsta.1903.0006
- P.J. Forsyth, The physical basis of metal fatigue, Blackie and Son, London (1969).
- P. Lukas and M. Klesnil, ≪Corrosion Fatigue≫, in Chemistry, mechanics and microstructure, O. Devereux, A.J. McEvily and R.W. Staehle, Eds. TX, Houston, 1-32 (1972).
- J. Polak, ≪Mechanisms and kinetics of the early fatigue damage in crystalline materials≫, Mater. Sci. Eng. A, 468-470, 33-39 (2007). https://doi.org/10.1016/j.msea.2006.06.148
- C. Laird and D.J. Duquette, ≪Corrosion Fatigue≫, in Chemistry, mechanics and microstructure, O. Devereux, A.J. McEvily and R.W. Staehle, Eds. TX, Houston, 88-117 (1972).
- M. Mughrabi, Dislocations and properties of real materials, The Institute of Metals, London, 244-262 (1985).
- U. Essmann, U. Gosele and H. Mughrabi, ≪A model of extrusions and intrusions in fatigued metals I. Point-defect production and the growth of extrusions≫, Philos. Mag. A, 44, 405-426 (1981). https://doi.org/10.1080/01418618108239541
- J. Polak, ≪On the role of point defects in fatigue crack initiation≫, Mater. Sci. Eng., 92, 71-80 (1987). https://doi.org/10.1016/0025-5416(87)90157-1
- C. Depres, C.F. Robertson and M.C. Fivel, ≪Crack initiation in fatigue: experiments and three-dimensional dislocation simulations≫, Mater. Sci. Eng., 387-389, 288-291 (2004). https://doi.org/10.1016/j.msea.2003.12.084
- J. Schijve, Fatigue of structures and materials, Springer (2009). https://doi.org/10.1007/978-1-4020-6808-9
- W.P. Bullen, A.K. Head and W.A. Wood, ≪Structural changes during the fatigue of metals≫, Proc. Roy. Soc., 216, 332 (1953). https://doi.org/10.1098/rspa.1953.0025
- D. Jiša, P. Liškutin, T. Kruml and J. Polak, ≪Small fatigue crack growth in aluminium alloy EN-AW 6082/T6≫, Int. J. Fatigue, 32, 1913-1920 (2010). https://doi.org/10.1016/j.ijfatigue.2010.06.003
- J. Man, T. Vystave, A. Weidner, I. Kubena, M. Petrenec and T. Kruml et al. ≪Study of cyclic strain localization and fatigue crack initiation using FIB technique≫, Int. J. Fatigue, 39, 44-53 (2012). https://doi.org/10.1016/j.ijfatigue.2011.05.002
- J. Polak, J. Man and M. Petrenec, ≪Damage evolution during fatigue in structural materials≫, Procedia Mater. Sci., 1, 3-12 (2012). https://doi.org/10.1016/j.mspro.2012.06.002
- S. Suresh, Fatigue of materials, 2nd ed., Cambridge University Press, 132-164 (1998).
- D. Taylor and O.M. Clancy, ≪The fatigue performance of machined surfaces≫, Fatigue Fract. Eng. Mater. Struct., 14, 329-336 (1991). https://doi.org/10.1111/j.1460-2695.1991.tb00662.x
- M. Gell and G.R. Leverant, ≪Mechanisms of high-temperature fatigue≫, Fatigue at Еlevated Тemperatures, ASTM STP 520, 37-67 (1973). https://doi.org/10.2466/pms.1973.37.2.520
- S. Nishijima and K. Kanazawa, ≪Stepwise S-N curve and fish-eye failure in gigacycle fatigue≫, Fatigue Fract. Eng. Mater. Struct., 22, 601-607 (1999). https://doi.org/10.1046/j.1460-2695.1999.00206.x
- Y. Murakami, T. Nomoto and T. Ueda, ≪Factors influencing the mechanism of superlong fatigue failure in steels≫, Fatigue Fract. Eng. Mater. Struct., 22, 581-590 (1999). https://doi.org/10.1046/j.1460-2695.1999.00187.x
- H. Mughrabi, ≪On “multi-stage” fatigue life diagrams and the relevant lifecontrolling mechanisms in ultrahigh-cycle fatigue≫, Fatigue Fract. Eng. Mater. Struct., 25, 755-764 (2002). https://doi.org/10.1046/j.1460-2695.2002.00550.x
- U. Krupp, Fatigue crack propagation in metals and alloys: microstructural aspects and modelling concepts, Wiley-VCH, Weinheim (2007).
- M.R. Mitchell, Fatigue and Microstructure, M. Meshii, Ed. ASM, Metals Park, OH, 385-437 (1978).
- L.F. Coffin Jr., ≪A study of the effects of cyclic thermal stresses on a ductile metal≫, Trans. ASME, 76, 931-950 (1954). https://doi.org/10.1115/1.4015021
- S.S. Manson, ≪Fatigue: a complex subject – some simple approximation≫, Exp. Mech., 5, 193-226 (1965). https://doi.org/10.1007/BF02321056
- A.S. Cheng and C. Laird, ≪Fatigue life behavior of copper single crystals. Part II: Model for crack nucleation in persistent slip bands≫, Fatigue Fract. Eng. Mater. Struct., 4, 343-353 (1981). https://doi.org/10.1111/j.1460-2695.1981.tb01131.x
- G. Venkataraman, Y.W. Chung and T. Mura, ≪Application of minimum energy formalism in a multiple slip band model for fatigue-II. Crack nucleation and derivation of a generalised Coffin-Manson law≫, Acta Metall. Mater., 39, 2631-2638 (1991). https://doi.org/10.1016/0956-7151(91)90079-G
- A. Saxena and S.D. Antolovich, ≪Low cycle fatigue, fatigue crack propagation and substructures in a series of polycrystalline Cu-Al alloys≫, Metall. Trans. A, 6A, 1809-1828 (1975). https://doi.org/10.1007/BF02642311
- K. Tanaka and T. Mura, ≪A theory of fatigue crack initiation at inclusions≫, Metall. Trans. A, 13A, 117-123 (1982). https://doi.org/10.1007/BF02642422
- G. Venkataraman, Y.W. Chung and T. Mura, ≪Application of minimum energy formalism in a multiple slip band model for fatigue-I. Calculation of slip band spacings≫, Acta Metall. Mater., 39, 2621-2629 (1991). https://doi.org/10.1016/0956-7151(91)90078-F
- M.R. Lin, M.E. Fine and T. Mura, ≪Fatigue crack initiation on slip bands: theory and experiment≫, Acta Metall., 34, 619-628 (1986). https://doi.org/10.1016/0001-6160(86)90177-X
- G. Venkataraman, Y.W. Chung, Y. Nakasone and T. Mura, ≪Free energy formulation of fatigue crack initiation along persistent slip bands: calculation of S-N curves and crack depths≫, Acta Metall. Mater., 38, 31-40 (1990). https://doi.org/10.1016/0956-7151(90)90132-Z
- T. Mura and Y. Nakasone, ≪A theory of fatigue crack initiation in solids≫, J. Appl. Mech., 57, 1-6 (1990). https://doi.org/10.1115/1.2888304
- T. Mura, ≪A theory of fatigue crack initiation≫, Mater. Sci. Eng., A176, 61-70 (1994). https://doi.org/10.1016/0921-5093(94)90959-8
- S.E. Harvey, P.G. Marsh and W.W. Gerberich, ≪Atomic force microscopy and modeling of fatigue crack initiation in metals≫, Acta Metall. Mater., 42, 3493-3502 (1994). https://doi.org/10.1016/0956-7151(94)90481-2
- A.N. Stroh, ≪The formation of cracks as a result of plastic flow≫, Proc. Roy. Soc., 223, 404-414 (1954). https://doi.org/10.1098/rspa.1954.0124
- M.R. Bache, ≪A review of dwell sensitive fatigue in titanium alloys: the role of microstructure, texture and operating conditions≫, Fatigue, 25, 1079-1087 (2003). https://doi.org/10.1016/S0142-1123(03)00145-2
- D. Davidson, K. Chan, R. McClung and S. Hudak, ≪Small fatigue cracks≫, Compr. Struct. Integr., 4, 129-164 (2003). https://doi.org/10.1016/B0-08-043749-4/04073-8
- K.J. Miller, R.S. Piascik, J.C. Newman and N.E. Dowling, ≪The three thresholds for fatigue crack propagation≫, Fatigue Fract. Mech., ASTM STP 1296, 27, 267-286 (1997). https://doi.org/10.1520/STP16238S
- P.C. Paris and F. Erdogan, ≪A critical analysis crack propagation laws≫, Trans. ASME, J. Basic Eng., 85, 528-534 (1963). https://doi.org/10.1115/1.3656900
- K. Tanaka, ≪Fatigue Crack Propagation≫, Compr. Struct. Integr., 4, 95-127 (2003). https://doi.org/10.1016/B0-08-043749-4/04089-1
- S. Suresh and R.O. Ritchie, ≪The propagation of short fatigue cracks≫, Int. Metals Rev. 29 (6), 445-476 (1984).
- C. Santus and D. Taylor, ≪Physically short crack propagation in metals during high cycle fatigue≫, Int. J. Fatigue, 31, 1356-1365 (2009). https://doi.org/10.1016/j.ijfatigue.2009.03.002
- Y. Akiniwa and K. Tanaka, ≪Statistical characteristics of propagation of small fatigue crack in smooth specimens of aluminium alloy 2024-T3≫, Mater. Sci. Eng. А, 104, 105-115 (1988). https://doi.org/10.1016/0025-5416(88)90411-9
- D.L. Davidson, K.S. Chan and R.C. McClung, ≪Cu-bearing high-strength low-alloy steels: the influence of microstructure on the initiation and growth of small fatigue cracks≫, Metall. Trans. A, 27, 2540-2556 (1996). https://doi.org/10.1007/BF02652348
- K. Tokaji, T. Ogawa and Y. Kameyama, ≪The effects of stress ratio on the growth behaviour of small fatigue cracks in an aluminum alloy 7075-T6 (with special interest in stage i crack growth)≫, Fatigue Fract. Eng. Mater. Struct., 13 (4), 411-421 (1990). https://doi.org/10.1111/j.1460-2695.1990.tb00611.x
- D. Taylor and J.F. Knott, ≪Fatigue crack propagation behaviour of short cracks; the effect of microstructure≫, Fatigue Fract. Eng. Mater. Struct., 4 (2), 147-155 (1981). https://doi.org/10.1111/j.1460-2695.1981.tb01116.x
- G.R. Yoder, L.A. Cooley and T.W. Crooker, ≪On microstructural control of nearthreshold fatigue crack growth in 7000-series aluminium alloys≫, Scr. Metal., 16, 1021-1025 (1982). https://doi.org/10.1016/0036-9748(82)90448-3
- C.A. Rodopoulus and E.R. de los Rios, ≪Theoretical analysis on the behaviour of short fatigue cracks≫, Int. J. Fatigue, 24, 719-724 (2002). https://doi.org/10.1016/S0142-1123(01)00196-7
- A.K. Sadananda, ≪Vasudevan Short crack growth and internal stresses≫, Int. J. Fatigue, 19, 1, S99-S108 (1997). https://doi.org/10.1016/S0142-1123(97)00057-1
- Механика разрушения и прочность материалов: справочное пособие, т. 4, В.В. Панасюк, Ред. Наук. думка, Киев (1990).
- K. Hussain and E.R. de los Rios, ≪Transition from small to long fatigue crack in C- Mn steel≫, Scr. Metal. Mater., 30, 53-58 (1994). https://doi.org/10.1016/0956-716X(94)90357-3
- K. Obrtlık, J. Polak, M. Hajek and A. Vasek, ≪Short fatigue crack behaviour in 316L stainless steel≫, Int. J. Fatigue, 19 (6), 471-475 (1997). https://doi.org/10.1016/S0142-1123(97)00005-4
- K.S. Ravichandran, ≪Effects of crack aspect ratio on the behavior of small surface cracks in fatigue: Part I. Simulation≫, Metal. Mater. Trans. A, 28a (1), 157-169 (1997). https://doi.org/10.1007/s11661-997-0091-9
- R.O. Ritchie, ≪Near-threshold fatigue crack propagation in ultra-high strength steel: influence of load ratio and cyclic strength≫, J. Eng. Mater. Technol., 7, 195-204 (1977). https://doi.org/10.1115/1.3443519
- L. Lawson, E.Y. Chen and M. Meshii, ≪Near-threshold fatigue: a review≫, Int. J. Fatigue, 21, 15-34 (1999). https://doi.org/10.1016/S0142-1123(99)00053-5
- P.K. Liaw, T.R. Leax and W.A. Logsdon, ≪Near-threshold fatigue crack growth behavior in metals≫, Acta Metal., 31 (10), 1581-1587 (1983). https://doi.org/10.1016/0001-6160(83)90155-4
- K. Makhlouf and J.W. Jones, ≪Near-threshold fatigue crack growth behaviour of a ferritic stainless steel at elevated temperatures≫, Int. J. Fatigue, 14 (2), 97-104 (1992). https://doi.org/10.1016/0142-1123(92)90085-Q
- R.O. Ritchie, ≪Near-threshold fatigue-crack propagation in steels≫, Int. Metals Rev., 5-6, 205-230 (1979). https://doi.org/10.1179/imtr.1979.24.1.205
- R.O. Ritchie and S. Suresh, ≪The fracture mechanics similitude concept: questions concerning its application to the behavior of short fatigue cracks≫, Mater. Sci. Eng., 57, L27-L30 (1983). https://doi.org/10.1016/0025-5416(83)90223-9
- I. Bantounas, D. Dye and T.C. Lindley, ≪The effect of grain orientation on fracture morphology during high-cycle fatigue of Ti-6Al-4V≫, Acta Mater., 57, 3584-3595 (2009). https://doi.org/10.1016/j.actamat.2009.04.018
- J.C. Newman Jr., E.P. Phillips and M.H. Swain, ≪Fatigue-life prediction methodology using small crack theory≫, Int. J. Fatigue, 21, 109-119 (1999). https://doi.org/10.1016/S0142-1123(98)00058-9
- D.L. McDowell, ≪An engineering model for propagation of small cracks in fatigue≫, Eng. Fract. Mech., 56 (3), 357-377 (1997). https://doi.org/10.1016/S0013-7944(96)00057-4
- H. Vehoff and P. Neumann, ≪Life prediction based on the propagation of short cracks≫, Steel Res., 63, 372-377 (1992). https://doi.org/10.1002/srin.199200538
- A.J. Mc Evily, D. Eifler and E. Macherauch, ≪An analysis of the growth of short fatigue cracks≫, Eng. Fract. Mech., 40, 571-584 (1991). https://doi.org/10.1016/0013-7944(91)90151-P
- D.L. DuQuesnay, T.H. Topper and M.T. Yu, ≪The effect of notch radius on the fatigue notch factor and the propagation of short cracks≫, The Behavior of Short Fatigue Cracks, ESIS, London, 323-335 (1986).
- L. Grabowski and J.E. King, ≪Modelling short crack growth behaviour in nickel-base superalloys≫, Fatigue Fract. Eng. Mater. Struct., 15, 595-606 (1992). https://doi.org/10.1111/j.1460-2695.1992.tb01298.x
- H. Bomas, J. Hunecke, S. Laue, P. Mayr and D. Schone, ≪Anrissleben sdauervorhersage am Beispiel glatter und gekerbter Proben des Werkstoffs Cm15≫, Materialwissenschaft und Werkstofftechnik, 33, 230-238 (2002). https://doi.org/10.1002/1521-4052(200205)33:5<230::AID-MAWE230>3.0.CO;2-F
- P.D. Hobson, M.W. Brown and E.R. de los Rios, ≪Two phases of short crack growth in a medium carbon steel≫, The Behavior of Short Fatigue Cracks, ESIS, London, 441-459 (1986).
- K. Hussain, ≪Short fatigue crack behaviour and analytical models. A Review≫, Eng. Fract. Mech., 58, 327-354 (1997). https://doi.org/10.1016/S0013-7944(97)00102-1
- K.S. Chan and J. Lankford, ≪A crack tip strain model for the growth of small fatigue cracks≫, Scr. Metal., 17, 529-532 (1983). https://doi.org/10.1016/0036-9748(83)90346-0
- E.R. de los Rios, H.J. Mohamed and K.J. Miller, ≪A micromechanics analysis for short fatigue crack growth≫, Fatigue Fract. Eng. Mater. Struct. 8, 49-63 (1985). https://doi.org/10.1111/j.1460-2695.1985.tb00419.x
- R.G. Foreman, V.E. Keary and R.M. Eagle, ≪Numerical analysis of crack propagation in cyclic-loaded structures≫, J. Basic Eng., 89, 459-463 (1967). https://doi.org/10.1115/1.3609637
- J. Weertman, ≪Rate of growth of fatigue cracks calculated from the theory of infinitesimal dislocations distributed on a plane≫, Int. J. Fract., 2, 460-467 (1966). https://doi.org/10.1007/BF00183823
- M. Klesnil and P. Lukas, ≪Influence of strength and stress history on growth and stabilisation of fatigue cracks≫, Eng. Fract. Mech., 4, 77-92 (1972). https://doi.org/10.1016/0013-7944(72)90078-1
- A.J. McEvily, ≪On closure in fatigue crack growth. Technical report≫, ASTM STP 982, 35, Philadelphia (1988). https://doi.org/10.1520/STP27199S
- W. Elber, Fatigue crack propagation: Some effects of crack closure on the mechanism of fatigue crack propagation under cyclic tension loading. PhD Thesis, Univ. of New South Wales, New South Wales (1968).
- W. Elber, ≪The significance of fatigue crack closure≫, ASTM STP 486, 230-242 (1971). https://doi.org/10.1520/STP26680S
- T.L. Anderson, Fracture mechanics: fundamentals and applications, 2nd ed., CRC Press FL, Boca Raton (1995).
- M.N. El Haddad, T.H. Topper and K.N. Smith, ≪Prediction of non propagating cracks≫, Eng. Fract. Mech., 11 (3), 573-584 (1979). https://doi.org/10.1016/0013-7944(79)90081-X
- H. Kitagawa and S. Takahashi, ≪Applicability of fracture mechanics to very small cracks or the cracks in the early stage≫, Proceedings of the Second international conference of mechanical behavior of materials, ASM STP, Philadelphia, 627-631 (1976).
- N.E. Frost, K.L. Marsh and L.P. Pook, Metal Fatigue, Clarendon Press, Oxford (1974).
- M.M. El Haddad, K.N. Smith and T.U. Topper, ≪Fatigue crack propagation of short cracks≫, Trans. ASME, J. Eng. Mater. Technol., 101 (1), 42-46 (1979). https://doi.org/10.1115/1.3443647
- M.D. Chapetti, ≪Fatigue propagation threshold of short cracks under constant amplitude loading≫, Int. J. Fatigue, 25, 1319-1326 (2003). https://doi.org/10.1016/S0142-1123(03)00065-3
- I. Marines-Garcia, P.C. Paris, H. Tada and C. Bathias, ≪Fatigue crack growth from small to long cracks in VHCF with surface initiations≫, Int. J. Fatigue, 29, 2072-2078 (2007). https://doi.org/10.1016/j.ijfatigue.2007.03.015
- R.W. Hertzberg, ≪A simple calculation of da/dN data in the near threshold regime and above≫, Int. J. Fract., 64, R53-R58 (1993). https://doi.org/10.1007/BF00015777
- V.T. Troshchenko, B.A. Gryaznov, Yu.S. Nalimov, O.N. Gerasimchuk, O.M. Ivasishin and P.E. Markovskii, ≪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, 245-251 (1995). https://doi.org/10.1007/BF02208494
- Standard test method for measurements of fatigue crack growth rates, E647, ASTM STP, Philadelphia (2000).
- A. Palmgren, Die lebensdauer von kugellagern, Veifahrenstechinik, Berlin, 68, 339-341 (1924).
- M.A. Miner, ≪Cumulative damage in fatigue≫, J. Appl. Mech., 67, AI59-AI64 (1945).
- A. Fatemi and L. Vang, ≪Cumulative fatigue damage and life prediction theories: a survey of the state of the art for homogeneous materials≫, Int. J. Fatigue, 20 (1), 9-34 (1998). https://doi.org/10.1016/S0142-1123(97)00081-9
- E. Santecchia, M.S. Hamouda, F. Musharavati, E. Zalnezhad, M. Cabibbo and M. El Mehtedi et al., ≪A review on fatigue life prediction methods for metals≫, Adv. Mater. Sci. Eng., 1-26 (2016). https://doi.org/10.1155/2016/9573524
- K.A. Zakaria, S. Abdullah and M.J. Ghazali, ≪A review of the loading sequence effects on the fatigue life behaviour of metallic materials≫, J. Eng. Sci. Technol. Rev., 9 (5), 189-200 (2016). https://doi.org/10.25103/jestr.095.30
- H.J. French, ≪Fatigue and hardening of steels≫, Trans. American Society of Steel Treating, 21, 899-946 (1933).
- J.B. Kommers, ≪The effect of overstressing and understressing in fatigue≫, Proc. ASTM, 38, 249-268 (1938).
- B.F. Langer, ≪Fatigue failure from stress cycles of varying amplitude≫, Trans. ASME, J. Appl. Mech., 59, AI60-AI62 (1937).
- J.B. Kommers, ≪The effect of overstress in fatigue on the endurance life of steel≫, Proc. ASTM, 45, 532-541 (1945).
- J.A. Bennett, ≪A study of the damaging effect of fatigue stressing on X4130 steel≫, Proc. ASTM, 46, 693-714 (1946). https://doi.org/10.6028/jres.037.002
- D.L. Henry, ≪A theory of fatigue damage accumulation in steel≫, Trans. ASME, 77, https://doi.org/10.1115/1.4014547
- R.R. Gatts, ≪Application of a cumulative damage concept to fatigue≫, Trans. ASME, J. Basic Eng., 83, 529-540 (1961). https://doi.org/10.1115/1.3662256
- R.R. Gatts, ≪Cumulative fatigue damage with random loading≫, Trans. ASME, J. Basic Eng., 84, 439-467 (1962). https://doi.org/10.1115/1.3657337
- J.L. Bluhm, ≪A note on fatigue damage≫, Mater. Res. Stand., 2 (3), 122-123 (1962).
- S.M. Marco and W.L. Starkey, ≪A concept of fatigue damage≫, Trans. ASME, 76, 627-632 (1954). https://doi.org/10.1115/1.4014922
- H.T. Corten and T.J. Dolan, ≪Cumulative fatigue damage≫, Proceedings of the International conference on fatigue of metals: institution of mechanical engineering and american society of mechanical engineers, New York, 235-246 (1956).
- A.M. Freudenthal and R.A. Heller, ≪On stress interaction in fatigue and a cumulative damage rule≫, J. Aerospace Sci., 26 (7), 431-442 (1959). https://doi.org/10.2514/8.8131
- S. Subramanyan, ≪A cumulative damage rule based on the knee point of the S-N curve≫, Trans. ASME, J. Eng. Mater. Technol., 98 (4), 316-321 (1976). https://doi.org/10.1115/1.3443383
- R. Srivatsavan and S. Subramanyan, ≪A cumulative damage rule based on successive reduction in fatigue limit≫, Trans. ASME, J. Eng. Mater. Technol., 100 (2), 212-214 (1978). https://doi.org/10.1115/1.3443474
- H.J. Grover, ≪An observation concerning the cycle ratio in cumulative damage. fatigue of aircraft structures≫, ASTM STP 274, Philadelphia, 120-124 (1960). https://doi.org/10.1520/STP45928S
- S.S. Manson, J.C. Freche and C.R. Ensign, ≪Application of a double linear damage rule to cumulative fatigue. Fatigue crack propagation≫, ASTM STP 415, Philadelphia, 384-412 (1967). https://doi.org/10.1520/STP47237S
- S.S. Manson and G.R. Halford, ≪Practical implementation of the double linear damage rule and damage curve approach for treating cumulative fatigue damage≫, Int. J. Fract., 17 (2), 169-192 (1981). https://doi.org/10.1007/BF00053519
- S.S. Manson and G.R. Halford ≪Re-examination of cumulative fatigue damage analysis – an engineering perspective≫, Eng. Fract. Mech., 25 (5/6), 539-571 (1986). https://doi.org/10.1016/0013-7944(86)90022-6
- J.D. Costaa, J.A.M. Ferreiraa, L.P. Borregob and L.P. Abreu, ≪Fatigue behavior of AA6082 friction stir welds under variable loadings≫, Int. J. Fatigue, 37, 8-16 (2012). https://doi.org/10.1016/j.ijfatigue.2011.10.001
- Rong Yuan, Haiqing Li, Hong-Zhong Huang, Shun-Peng Zhu and Huiying Gao, ≪A nonlinear fatigue damage accumulation model considering strength degradation and its applications to fatigue reliability analysis≫, Int. J. Damage Mech., 24 (5), 646-662 (2015). https://doi.org/10.1177/1056789514544228
- L.M. Kachanov, ≪Time to the rupture process under creep conditions≫, Izvestiia AN SSSR, OTN, 8, 26-31 (1958). https://doi.org/10.1080/5808555817
- Y.N. Rabotnov, Creep problems in structural members, North-Holland, Amsterdam (1969).
- J. Lemaitre and J.L. Chaboche, ≪Aspect phenomenologique de la ruptutre par endommagement≫, J. Mecan. Appl., 2 (3), 317-365 (1978).
- J. Lemaitre and A. Plumtree, ≪Application of damage concepts to predict creepfatigue failures≫, Trans. ASME, J. Eng. Mater. Technol., 101, 284-292 (1979). https://doi.org/10.1115/1.3443689
- K.J. Miller and K.P. Zachariah, ≪Cumulative Damage laws for fatigue crack initiation and stage I propagation≫, J. Strain Anal., 11 (4), 262-270 (1977). https://doi.org/10.1243/03093247V124262
- C.E. Feltner and J.D. Morrow, ≪Microplastic strain hysteresis energy as a criteri on for fatigue fracture≫, Trans. ASME, J. Basic Eng., 83, 5-22 (1961). https://doi.org/10.1115/1.3658884
- G.R. Halford, ≪The energy required for fatigue≫, J. Mater., 1 (1), 3-18 (1966).
- D. Kujawski and F. Ellyin, ≪A cumulative damage theory of fatigue crack initiation and propagation≫, Int. J. Fatigue, 6 (2), 83-88 (1984). https://doi.org/10.1016/0142-1123(84)90017-3
- D. Kujawski and F. Ellyin, ≪On the concept of cumulative fatigue damage≫, Int. J. Fatigue, 37, 263-278 (1988). https://doi.org/10.1007/BF00032533
- V.T. Troshchenko and P.A. Fomichev, ≪An energy criterion for fatigue failure≫, Strength. Mater., 25, 1-7 (1993). https://doi.org/10.1007/BF00767729
- K. Golos and F. Ellyin, ≪A total strain energy density theory for cumulative fatigue damage≫, Trans. ASME, J. Pres. Ves. Technol., 110, 36-41 (1988). https://doi.org/10.1115/1.3265565
- B.N. Leis, ≪A nonlinear history-dependent damage model for low cycle fatigue. Low Cycle Fatigue≫, ASTM STP 942, 143-159 (1988). https://doi.org/10.1520/STP24480S
- K.N. Smith, P. Watson and T.H. Topper, ≪A stress-strain funсtion for the fatigue of metals≫, J. Mater., 5 (4), 767-778 (1970).
- K.J. Miller and K.P. Zachariah, ≪Cumulative damage laws for fatigue crock initiation and stage I propagation≫, J. Strain Anal., 12 (4), 262-270 (1977). https://doi.org/10.1243/03093247V124262
- M.F.E. Ibrahim and K.J. Miller, ≪Determination of fatigue crack initiation life≫, Fatigue Eng. Mater. Struct., 2, 351-360 (1980). https://doi.org/10.1111/j.1460-2695.1979.tb01093.x
- K.J. Miller, ≪Short crack problem≫, Fatigue Eng. Mater. Struct., 5 (3), 223-232 (1982). https://doi.org/10.1111/j.1460-2695.1982.tb01250.x
- B.T. Ma and C. Laird, ≪Overview of fatigue behavior in copper single crystals-V.Short crack growth behavior and a new approach to summing cumulative damage and predicting fatigue life under variable amplitudes≫, Acta Metal. Mater., 37 (2), 369-379 (1989). https://doi.org/10.1016/0001-6160(89)90221-6
- R. Doring, J. Hoffmeyer, T. Seeger and M. Vormwald, ≪Short fatigue crack growth under nonproportional multiaxial elastic-plastic strains≫, Int. J. Fatigue. 28, 972-982 (2006). https://doi.org/10.1016/j.ijfatigue.2005.08.012
- O. Hertel and M. Vormwald, ≪Short-crack-growth-based fatigue assessment of notched components under multiaxial variable amplitude loading≫, Eng. Fract.Mech., 78, 1614-1627 (2011). https://doi.org/10.1016/j.engfracmech.2011.01.016
- M. Vormwald, P. Heuler and T. Seeger, ≪A fracture mechanics based model for cumulative damage assessment as part of fatigue life prediction≫, ASTM STP 1122. Advances in fatigue lifetime prediction techniques, 28-43 (1992). https://doi.org/10.1520/STP24151S
- A. Fatemi and D. Socie, ≪A critical plane approach to multiaxial fatigue damage including out-of-phase loading≫, Fatigue Fract. Eng. Mater. Struct., 11, 149-165 (1988). https://doi.org/10.1111/j.1460-2695.1988.tb01169.x
- S. Laue and H. Bomas, ≪Spectrum fatigue life assessment of notched specimens based on the initiation and propagation of short cracks≫, Int. J. Fatigue, 28, 1011-1021 (2006). https://doi.org/10.1016/j.ijfatigue.2005.08.013
- A. Ahmadi and H. Zenner, ≪Lifetime simulation under multiaxial random loading with regard to the microcrack growth≫, Int. J. Fatigue, 28, 954-962 (2006). https://doi.org/10.1016/j.ijfatigue.2005.09.015
- P.D. Hobson, M.W. Brown and E.R. de los Rios, ≪Two phases of short crack growth in medium carbon steel≫, in The behaviour of short fatigue cracks, K.J. Miller and E.R. de los Rios, Ed., EGF Publication 1, London, 441-459 (1986).
- L.C.H. Ricardo and С.A.J. Miranda, ≪Crack simulation models in variable amplitude loading – a review≫, Frattura ed Integrita Strutturale, 35, 456-471 (2016).
- A.R.C. Murthy, G.S. Palani and N.R. Iyer, ≪State of art review on fatigue crack growth analysis under variable amplitude loading≫, IEI Journal, 118-129 (2004).
- O.E. Wheeler, ≪Spectrum loading and crack growth≫. Trans. ASME, Ser. D, J. Basic Eng., 94, 181-186 (1972). https://doi.org/10.1115/1.3425362
- J.D. Willenborg, R.M. Engle and H.A. Wood, A crack growth retardation model using an effective stress concept, AFFDL, TM-71-FBR, Air Force Flight Dynamics Laboratory, Wright Patterson Air force Base, OH (1971). https://doi.org/10.21236/ADA956517
- T.R. Porter, ≪Method of analysis and prediction of variable amplitude fatigue crack growth≫, Eng. Fract. Mech., 4 (4), 717-736 (1972). https://doi.org/10.1016/0013-7944(72)90011-2
- T.D. Gray and J.P. Gallagher, ≪Predicting fatigue crack retardation following a single overload using a modified Wheeler model≫, ASTM STP 590 (1976).
- J.P. Gallagher and T.F. Hughes, Influence of the yield strength on overload fatigue crack growth behavior of 4340 steel, AFFDL – TR-74-27, Air Force Flight Dynamics Laboratory, Wright Patterson Air force Base, OH (1974). https://doi.org/10.21236/AD0787655
- W.S. Johnson, ≪Multi-parameter yield zone model for predicting spectrum crack growth≫, ASTM STP 748, 85-102 (1981). https://doi.org/10.1520/STP28335S
- J.B. Chang, R.M. Hiyama and M. Szamossi, Improved methods for predicting spectrum loadings effects, AFWAL-TR81-3092, Air Force Flight Dynamics Laboratory, Wright Patterson Air force Base, OH (1984).
- P.D. Bell and M. Creager, Crack growth analyses for arbitrary spectrum loading, AFFDL-TR-74-129, Air Force Flight Dynamics Laboratory, Wright Patterson Air force Base, OH (1974).
- J.C. Newman, A finite element analysis fatigue crack closure, NASA TM X 72005, NASA, Hampton, VA (1975). https://doi.org/10.1520/STP33952S
- H.D. Dill and C.R. Saff, ≪Spectrum crack growth prediction method based on crack surface displacement and contact analyses, Fatigue crack growth under spectrum loads≫, ASTM STP 595, 306-319 (1976). https://doi.org/10.1520/STP33381S
- M.F. Kanninnen, C. Atkinson and C.E. Feddersen, ≪A fatigue crack growth analysis method based on a single representation of crack tip plasticity≫, ASTM STP 637, 122-140 (1977). https://doi.org/10.1520/STP27991S
- D. Budianski and J.W. Hucthinson, ≪Analysis of closure in fatigue crack growth≫, J. Appl. Mechan., 45, 267-276 (1978). https://doi.org/10.1115/1.3424286
- A.U. de Koning, ≪A Simple crack closure model for predictions of fatigue crack growth rates under variable amplitude loading≫, ASTM STP 743, 63-85 (1981). https://doi.org/10.1520/STP28791S
- D.S. Dugdale, ≪Yielding of steel sheets containing slits≫, J. Mech. Phys. Solids., 8 (2), 100-104 (1960). https://doi.org/10.1016/0022-5096(60)90013-2
- C.M. Hudson and H.F. Hardrath, ≪Effects of changing stress amplitude on the rate of fatigue-crack propagation in two aluminum alloys≫, NASA TN D-960 (1961).
- R.G. Forman, V.E. Kearney and R.M. Engle, ≪Numerical analysis of crack propagation in cyclically loaded structures≫, J. Basic Eng., 89 (3), 459-464 (1967). https://doi.org/10.1115/1.3609637
- A. Chahardehi and A. Mehmanparast, ≪Fatigue crack growth under remote and local compression – a state-of-the-art review≫, Frattura ed Integrita Strutturale, 35, 41-49 (2016). https://doi.org/10.3221/IGF-ESIS.35.05
- F.S. Silva, ≪Fatigue crack propagation after overloading and underloading at negative stress ratios≫, Int. J. Fatigue, 29, 1757-1771 (2007). https://doi.org/10.1016/j.ijfatigue.2007.03.012
- M.D. Halliday, J.Z. Zhang, P. Poole and P. Bowen, ≪In situ observation on the contrasting effects of an overload on small fatigue crack growth at two different load ratios in 2024-T351 aluminium alloy≫, Int. J. Fatigue, 19 (4), 273-282 (1997). https://doi.org/10.1016/S0142-1123(97)00010-8
- A.H. Noroozi, G. Glinka and S. Lambert, ≪A two parameter driving force for fatigue crack growth analysis≫, Int. J. Fatigue, 27, 1277-1296 (2005). https://doi.org/10.1016/j.ijfatigue.2005.07.002
- S. Mikheevskiy and G. Glinka, ≪Elastic-plastic fatigue crack growth analysis under variable amplitude loading spectra≫, Int. J. Fatigue, 31, 1828-1836 (2009). https://doi.org/10.1016/j.ijfatigue.2009.02.035
- R.W. Landgraf, J. Morrow and T. Endo, ≪Determination of the cyclic stress-strain curve≫, J. Mater., 4 (1), 176 (1969).
- Technical report on low cycle fatigue properties: ferrous and nonferrous metals. SAE Standard No. J1099, Society of Automotive Engineers (SAE), Warrendale, Pennsylvania (1998).
- K.N. Smith, P. Watson and T.H. Topper, ≪A stress-strain function for the fatigue of metals≫, J. Mater., 5 (4), 767-778 (1970).
- E.K. Walker, ≪The effect of stress ratio during crack propagation and fatigue for 2024-T3 and 7076-T6 aluminum. Effect of environment and complex load history on fatigue life≫, ASTM STP 462, American Society for Testing and Materials, Philadelphia, 1-14 (1970). https://doi.org/10.1520/STP32032S
- H. Neuber, ≪Theory of stress concentration for shear-strained prismatic bodies with arbitrary nonlinear stress-strain law≫, Trans. ASME, J. Appl. Mech., 28, 544-551 (1961). https://doi.org/10.1115/1.3641780
- A. Moftakhar, A. Buczynski and G. Glinka, ≪Calculation of elastoplastic strains and stresses in notched under multiaxial loading≫, Int. J. Fract., 70 (3), 357-373 (1995). https://doi.org/10.1007/BF00032453
- G. Glinka and G. Shen, ≪Universal features of weight functions for cracks in mode I≫, Eng. Fract. Mech., 40 (6), 1135-1146 (1991). https://doi.org/10.1016/0013-7944(91)90177-3
- N.E. Dowling, Mechanical behavior of materials, Prentice Hall Inc., New Jersy (2006).
- Abdelkader Miloudi, Zemri Mokhtar, Mohamed Benguediab, Mohamed Mazari and Abdelwaheb Amrouche, ≪Crack propagation under variable amplitude loading≫, Mater. Res., 16 (5), 1161-1168 (2013). https://doi.org/10.1590/S1516-14392013005000110
Розділ 2
- Standard test method for measurements of fatigue crack growth rates, ASTM STP, E647-00, Philadelphia (2000).
- Guide to methods for assessing the acceptability of flaws in metallic structures, British Standard BS 7910 (2005).
- Методические указания. Расчеты и испытания на прочность. Методы механических испытаний металлов. Определение характеристик трещиностойкости (вязкости разрушения) при циклическом нагружении, 50-345-82, Издательство стандартов, Москва. Введ. 01.01.83 (1983).
- Матеріали металеві. Випробування на розтяг, ДСТУ EN 10002-1:2006, Держспоживстандарт України, Київ (2008).
- Расчеты и испытания на прочность в машиностроении. Методы механических испытаний металлов. Методы испытаний на усталость, ГОСТ 25.502-79, Издательство стандартов, Mосква (1979).
- Расчеты и испытания на прочность. Методы расчета характеристик сопротивления усталости, ГОСТ 25.504-82, Издательство стандартов, Mосква (1982).
- Расчеты и испытания на прочность в машиностроении. Методы испытаний на усталость при эксплуатационных режимах нагружения. Общие требования, ГОСТ 25.507-85, Издательство стандартов, Mосква (1985).
- Сопротивление усталости. Основные термины, определения и обозначения, ГОСТ 23207-78, Издательство стандартов, Mосква (1978).
- B.A. Gryaznov, U.S. Nalimov, G.V. Tsyban’ov, O.M. Herasymchuk, O.M. Ivasishin and P.E. Markovskii, ≪Updating manufacture technology for critical parts of titanium alloy for increasing their fatigue characteristics≫, Proceedings of the International seminar on manufacturing technology beyond 2000, India, Bangalore, 255-256 (1999).
- O.M. Ivasishin, K.A. Bondareva, V.I. Bondarchuk, O.N. Gerasimchuk, D.G. Savvakin and B.A. Gryaznov, ≪Fatigue resistance of powder metallurgy Ti-6Al-4V alloy≫, Strength Mater., 36, 225-230 (2004). https://doi.org/10.1023/B:STOM.0000035756.11562.c3
- O.N. Gerasimchuk, G.A. Sergienko, V.I. Bondarchuk, A.V. Terukov, Yu.S. Nalimov and B.A. Gryaznov, ≪Fatigue strength of an (α + β)-type titanium alloy Ti-6Al-4V produced by the electron-beam physical vapor deposition method≫, Strength Mater., 38, 651-658 (2006). https://doi.org/10.1007/s11223-006-0086-6
- B.A. Gryaznov, Yu.S. Nalimov, V.E. Ryabtsev and O.N. Gerasimchuk, ≪Influence of surface defects and corrosive medium on the fatigue resistance of ST17G1S steel≫, Strength Mater., 39, 408-414 (2007). https://doi.org/10.1007/s11223-007-0046-9
- O.M. Herasymchuk, ≪Nonlinear relationship between the fatigue limit and quantitative parameters of material microstructure≫, Int. J. Fatigue, 33, 649-659 (2011). https://doi.org/10.1016/j.ijfatigue.2010.11.015
- P.E. Markovsky, V.I. Bondarchuk and O.M. Herasymchuk, ≪Influence of grain size, aging conditions and tension rate on the mechanical behavior of titanium low-cost metastable beta-alloy in thermally hardened condition≫, Mater. Sci. Eng. A, 645 (1), 150-162 (2015). https://doi.org/10.1016/j.msea.2015.08.009
- O.M. Herasymchuk, Yu.S. Nalimov, P.E. Markovs’kyi, A.V. Terukov and V.I. Bondarchuk, ≪Effect of the microstructure of titanium alloys on the fatigue strength characteristics≫, Strength Mater., 43, 282-293 (2011). https://doi.org/10.1007/s11223-011-9296-7
- О.М. Герасимчук та О.В. Кононученко, ≪Вплив технологічних дефектів та мікроструктури на опір втомі конденсатів із титанового сплаву Ті-6Al-4V, отриманих методом ЕВ РVD≫, у Прочность материалов и элементов конструкций: Труды Международной научно-технической конференции. Ин-т проблем прочности им. Г.С. Писаренко НАН Украины, Киев, 610-617 (2011).
- O.M. Herasymchuk and O.V. Kononuchenko, ≪Effect of surface stress concentrators and microstructure on the fatigue limit of the material≫, Strength Mater., 43, 374-383 (2011). https://doi.org/10.1007/s11223-011-9306-9
- O.M. Herasymchuk, O.V. Kononuchenko, O.M. Herasymchuk and V.I. Bondarchuk, ≪Fatigue life prediction of titanium alloys effected by process factors≫, Strength Mater., 47, 579-585 (2015). https://doi.org/10.1007/s11223-015-9693-4
- O.M. Herasymchuk, O.V. Kononuchenko and V.I. Bondarchuk, ≪Fatigue life calculation for titanium alloys considering the influence of microstructure and manufacturing defects≫, Int. J. Fatigue, 81, 257-264 (2015). https://doi.org/10.1016/j.ijfatigue.2015.08.008
- O.M. Herasymchuk, P.E. Markovsky and V.I. Bondarchuk, ≪Calculating the fatigue life of smooth specimens of two-phase titanium alloys subject to symmetric uniaxial cyclic load of constant amplitude≫, Int. J. Fatigue, 83, 313-322 (2016). https://doi.org/10.1016/j.ijfatigue.2015.11.002
- O.M. Herasymchuk and O.V. Kononuchenko, ≪Peculiarities of short fatigue cracks growth from a blind hole in specimens made of steel 45. Part 1. Experimental results≫, Strength Mater., 53, 213-221 (2021). https://doi.org/10.1007/s11223-021-00277-z
- O.M. Herasymchuk and O.V. Kononuchenko, ≪Theoretical estimation of fatigue life before crack initiation in metal materials≫, Strength Mater., 55, 457-468 (2023). https://doi.org/10.1007/s11223-023-00538-z
- У. Цвиккер, Титан и его сплавы, Металлургия, Москва (1979).
- Е.А. Борисова, Г.А. Бочвар и М.Я. Брун, Металлография титановых сплавов, Металлургия, Москва (1980).
- G. Lutjering, ≪Influence of processing on microstructure and mechanical properties of (α + β) titanium alloys≫, Mater. Sci. Eng., A243, 32-45 (1998). https://doi.org/10.1016/S0921-5093(97)00778-8
- В.Н. Гриднев, О.М. Ивасишин и С.П. Ошкадеров, Физические основы скоростного термоупрочнения титановых сплавов, Наук. думка, Киев (1986).
- O.M. Ivasishin and P.E. Markovsky, ≪Enhancing the mechanical properties of titanium alloys with rapid heat treatment (overview)≫, JOM, 7, 48-56 (1996). https://doi.org/10.1007/BF03222998
- О.М. Ивасишин, С.П. Ошкадеров и П.Е. Марковский, ≪Исследования скоростного нагрева под закалку титановых сплавов≫, Металловедение и термическая обработка металлов, 1, 32-35 (1990).
- J.O. Peters, G. Luetjering, O.M. Ivasishin and P.E. Markovsky, ≪Mechanical properties of fine- grained beta-titanium alloys≫, Proceedings of 3rd ASM Conference on synthesis, processing and modelling of advanced materials, 269-274 (1997).
- O.M. Ivasishin and S.L. Semiatin, ≪Rapid heat treatment of titanium alloys≫, Processing and mechanical properties of titanium alloys with ultra-fine equiaxed microstructure, ≪THERMEC≫: Proceedings International conference on processing and manufacturing of аdvanced materials, Las Vegas, USA. CDROM ≪Special Issue: Journal of Materials Processing Technology, Elsevier Science≫ UK, Section A1, 117/3 (2000).
- G. Lutjering and J.C. Williams, Titanium, Springer, New York (2003).
- A. Zarkades and F.R. Larson, ≪Effect of textures on the Charpy impact energy of some Ti alloy plate≫, in The Science, Technology and Application of Titanium. Pergamon Press, Oxford, UK (1970).
- I.P. Jones and W.B. Hutchinson, ≪Stress-state dependence of slip in titanium-6Al-4V and other HCP metals≫, Acta Met., 29, 951-968 (1981). https://doi.org/10.1016/0001-6160(81)90049-3
- I. Bantounas, D. Dye and T.C. Lindley, ≪The effect of grain orientation on fracture morphology during high-cycle fatigue of Ti-6Al-4V≫, Acta Mater., 57, 3584-3595 (2009). https://doi.org/10.1016/j.actamat.2009.04.018
- G. Venkatraman, S. Ghosh and V. Mills, ≪A size dependent crystal plasticity finiteelement model for creep and load shedding in polycrystalline titanium alloys≫, Acta Mater., 55, 3971-3986 (2007). https://doi.org/10.1016/j.actamat.2007.03.017
- K.S. Ravichandran, ≪Near threshold fatigue crack growth behavior of a titanium alloy: Ti-6A1-4V≫, Acta Metal. Mater., 39 (3), 401-410 (1991). https://doi.org/10.1016/0956-7151(91)90319-V
- О.Н. Герасимчук, ≪Выносливость и циклическая трещиностойкость титанового сплава ВТ3-1 в различных структурных состояниях≫, дис. канд. техн. наук, Киев (1995).
- M.F. Savage, J. Tatalovich, M. Zupan, K.J. Hemker and M.J. Mills, ≪Deformation mechanisms and microtensile behavior of single colony Ti-6242Si≫, Mater. Sci. Eng., A319-A321, 398-403 (2001). https://doi.org/10.1016/S0921-5093(01)01024-3
- F. Sansoz and H. Ghonem, ≪Fatigue crack growth mechanisms in ti6242 lamellar microstructures: influence of loading frequency and temperatur≫, Metal. Mater. Trans. A, 34a, 2565-2578 (2003). https://doi.org/10.1007/s11661-003-0016-1
- Lin Xiao, ≪Twinning behavior in the Ti-5 at.% Al single crystals during cyclic loading along [0001]≫, Mater. Sci. Eng. A, 394, 168-175 (2005). https://doi.org/10.1016/j.msea.2004.11.039
- Mechanical properties of a titanium blading alloy, EPRI CS-2933. Res. Proj. 1266-1, Final Report (1983).
- Б.А. Мовчан, ≪Неорганические материалы, осаждаемые из паровой фазы в вакууме≫, у Сучасне матеріалознавство ХХІ сторіччя, Наук. думка, Киев, 318-332 (1998).
- H.R. Smith, K. Kennedy and F.S. Boericke, ≪Metallurgical charactenstics of titanium – alloy foil prepared by electron beam evaporation≫, J. Vac. Sci. Technol., 6, 48-51 (1970). https://doi.org/10.1116/1.1315919
- F.H. Froes and D. Eylon, ≪Powder metallurgy of titanium alloys – a review≫, in Titanium. Technology: present status and future trends, Warrendale, 49-59 (1985).
- M. Hagivara, Y. Kaieda, Y. Kawade and S. Miura, ≪Property enhancement of titanium alloys by blended elemental P/M method≫, Titanium 92, Science and Technology: Proceedings 7 World conference on titanium, Warrendale, 1, 887-894 (1993).
- H. Fujii, K. Takahashi and K. Fujisawa, ≪Low cost process of blended elemental powder metallurgy≫, Titanium 95, Science and Technology: Proceedings 8 World conference on titanium, London, 1, 2547-2554 (1996).
- S. Abkowits and D. Rowell, ≪Superior fatigue properties for blended elemental P/M Ti-6Al-4V≫, J. Metals, 8, 36-39 (1986). https://doi.org/10.1007/BF03257786
- С.А. Салтыков, Стереометрическая металлография, Металлургия, Москва (1976).
- J.H. Zuo, Z.G. Wang and E.H. Han, ≪Effect of microstructure on ultra-high cycle fatigue behavior of Ti-6Al-4V≫, Mater. Sci. Eng. A, 473, 147-152 (2008). https://doi.org/10.1016/j.msea.2007.04.062
- В.Т. Трощенко, Г.В. Цыбанев, А.А. Грязнов и С.С. Налимов, Прочность материалов и конструкций, т. 2, Усталость металлов. Влияние состояния поверхности и контактного взаимодействия, Институт проблем прочности, Киев (2009).
- И.М. Бабаков, Теория колебаний, Наука, Москва (1965).
- A.V. Prokopenko and M.V. Baumshtein, ≪Theoretical estimate of the life of gasturbineengine compressor blades≫, Strength Mater., 13, 575-579 (1981). https://doi.org/10.1007/BF00762970
- Дж. Ирвин, ≪Основы теории роста трещин и разрушения≫, в Разрушение, т. 3. Г. Либовиц, Ред. Мир, Москва (1976).
- Microstructure and texture effects on titanium alloys, EPRI. CS-472. Project 1266-33, Interim. Report (1986).
- O.M. Ivasishin, V.M. Anokhin, A.N. Demidik and D.G. Savvakin, ≪Cost-effective blended elemental powder metallurgy of titanium alloys for transport application≫, Key Eng. Mater., 188, 55-62 (2000). https://doi.org/10.4028/www.scientific.net/KEM.188.55
- О.М. Ивасишин, Д.Г. Саввакин и К.А. Бондарева, ≪Синтез сплава Ti-6Al-4V с низкой остаточной пористостью методом порошковой металлургии≫, Порошковая металлургия, 7-8, 54-64 (2002).
- O.M. Ivasishin, D.G. Savvakin and V.S. Moxson, ≪Titanium powder metallurgy for automotive components≫, Materials Techn. & Adv. Perform. Materials, 17 (1), 20-25 (2002). https://doi.org/10.1080/10667857.2002.11752959
- Standard test methods for determining average grain size, ASTM, E-112 (1996)._
Розділ 3
- C.E. Stromeyer, ≪The determination of fatigue limits under alternating stress conditions≫. Proceedings of the Royal Society of London. Series A, containing papers of a mathematical and physical character, 90 (620), 411-425 (1914). https://doi.org/10.1098/rspa.1914.0066
- К. Tanaka and T. Mura, ≪A dislocation model for fatigue crack initiation≫, ASME, J. Appl. Mech., 48, 97-103 (1981). https://doi.org/10.1115/1.3157599
- K.S. Chan, ≪A microstructure-based fatigue-crack-initiation model≫, Metall. Mater. Trans. A., 34A, 43-58 (2003). https://doi.org/10.1007/s11661-003-0207-9
- Standard practice for conducting force controlled constant amplitude axial fatigue tests of metallic materials, ASTM, E466-15 (2015).
- O.M. Herasymchuk, ≪Nonlinear relationship between the fatigue limit and quantitative parameters of material microstructure≫, Int. J. Fatigue, 33, 649-659 (2011). https://doi.org/10.1016/j.ijfatigue.2010.11.015
- M.D. Chapetti, ≪Fatigue propagation threshold of short cracks under constant amplitude loading≫, Int. J. Fatigue, 25, 1319-1326 (2003). https://doi.org/10.1016/S0142-1123(03)00065-3
- M.H. El Haddad, T.H. Topper and K.N. Smith, ≪Prediction of non propagating cracks≫, Eng. Fract. Mech., 11 (3), 573-584 (1979). https://doi.org/10.1016/0013-7944(79)90081-X
- A.J. McEvily, M. Endo and Y. Murakami, ≪On the area relationship and the short fatigue threshold≫, Fatigue Fract. Eng. Mater. Struct., 26, 269-278 (2003). https://doi.org/10.1046/j.1460-2695.2003.00636.x
- H. Kitagawa and S. Takahashi, ≪Applicability of fracture mechanics to very small cracks or the cracks in the early stage≫, Proceedings of the Second international conference of mechanical behavior of materials, ASM STP, Philadelphia, 627-631 (1976).
- U. Krupp, Fatigue crack propagation in metals and alloys: microstructural aspects and modeling concepts, Wiley-VCH, Weinheim (2007). https://doi.org/10.1002/9783527610686
- R.W. Hertzberg, ≪A simple calculation of da/dN data in the near threshold regime and above≫, Int. J. Fract., 64, 53-58 (1993). https://doi.org/10.1007/BF00015777
- O.M. Herasymchuk, O.V. Kononuchenko, P.E. Markovsky and V.I. Bondarchuk, ≪Calculating the fatigue life of smooth specimens of two-phase titanium alloys subject to symmetric uniaxial cyclic load of constant amplitude≫, Int. J. Fatigue, 83, 313-322 (2016). https://doi.org/10.1016/j.ijfatigue.2015.11.002
- O.M. Herasymchuk, ≪Microstructurally-dependent model for predicting the kinetics of physically small and long fatigue crack growth≫, Int. J. Fatigue, 81, 148-161 (2015). https://doi.org/10.1016/j.ijfatigue.2015.08.002
- 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). https://doi.org/10.1111/j.1460-2695.1983.tb00342.x
- T. Hanlon, E.D. Tabachnikova and S. Suresh, ≪Fatigue behavior of nanocrystalline metals and alloys≫, Int. J. Fatigue, 27, 1147-1158 (2005). https://doi.org/10.1016/j.ijfatigue.2005.06.035
- J.O. Peters, B.L. Boyce, X. Chen, J.M. McNaney, J.W. Hutchinson and R.O. Ritchie, ≪On the application of the Kitagawa-Takahashi diagram to foreign-object damage and high-cycle fatigue≫, Eng. Fract. Mech., 69, 1425-1446 (2002). https://doi.org/10.1016/S0013-7944(01)00152-7
- O.M. Herasymchuk and O.V. Kononuchenko, ≪Peculiarities of short fatigue cracks growth from a blind hole in specimens made of steel 45. Part 1. Experimental results≫, Strength Mater., 53, 213-221 (2021). https://doi.org/10.1007/s11223-021-00277-z
- K. Tanaka, Y. Nakai and Y. Yamashita, ≪Fatigue growth threshold of small cracks≫, Int.J. Fract., 17 (5), 519-533 (1981). https://doi.org/10.1007/BF00033345
- J.S. Park, S.J. Kim, K.H. Kim, S.H. Park and C.S. Lee, ≪A microstructural model for predicting high cycle fatigue life of steels≫, Int. J. Fatigue, 27, 1115-1123 (2005). https://doi.org/10.1016/j.ijfatigue.2005.01.013
- D.N. Hanlon and W.M. Rainforth, ≪Some observations on cyclic deformation structures in the high-strength commercial aluminum alloy AA 7150≫, Metal. Mater. Trans. A, 29A, 2727-2736 (1998). https://doi.org/10.1007/s11661-998-0313-9
- Y. Akiniwa and K. Tanaka, ≪Statistical characteristics of propagation of small fatigue crack in smoth specimens of aluminium alloy 2024-T3≫, Mater. Sci. Eng., A104, 105-115 (1988). https://doi.org/10.1016/0025-5416(88)90411-9
- K. Tokaji, M. Kamakura, Y. Ishiizumi and N. Hasegawa, ≪Fatigue behaviour and fracture mechanism of a rolled AZ31 magnesium alloy≫, Int. J. Fatigue, 26, 1217-1224 (2004). https://doi.org/10.1016/j.ijfatigue.2004.03.015
- A.J. McEvily, M. Endo, K. Yamashita, S. Ishihara and H. Matsunaga ≪Fatigue notch sensitivity and the notch size effect≫, Int. J. Fatigue, 30, 2087-2093 (2008). https://doi.org/10.1016/j.ijfatigue.2008.07.001
- K.S. Chan, ≪Variability of large-crack fatigue-crack-growth thresholds in structural alloys≫, Metal. Mater. Trans. A, 35A, 3721-3735 (2004). https://doi.org/10.1007/s11661-004-0278-2
- C. Sun, Z. Lei and Y. Hong, ≪Effects of stress ratio on crack growth rate and fatigue strength for high cycle and very-high-cycle fatigue of metallic materials≫, Mech. Mater., 69, 227-236 (2014). https://doi.org/10.1016/j.mechmat.2013.10.007
- Standard test method for measurements of fatigue crack growth rates, ASTM STP, E647-00 (2000).
- P. Lukas and M. Klesnil, ≪Fatigue limit of notched bodies≫, Mater. Sci. Eng., 34, 61-66 (1978). https://doi.org/10.1016/0025-5416(78)90009-5
- O.M. Herasymchuk and O.V. Kononuchenko, ≪Peculiarities of short fatigue crack growth from a blind hole in specimens made of steel 45. Part 2. Model of short fatigue crack growth from a notch≫, Strength Mater., 53, 405-416 (2021). https://doi.org/10.1007/s11223-021-00300-3
- K. Tanaka and Y. Akiniwa, ≪Resistance curve method for predicting propagation threshold of short fatigue cracks at notches≫, Eng. Fract. Mech., 30, 863-876 (1988). https://doi.org/10.1016/0013-7944(88)90146-4
- B. Atzori, P. Lazzarin and G. Meneghetti, ≪Fracture mechanics and notch sensitivity≫, Fatigue Fract. Eng. Mater. Struct., 26, 257-267 (2003). https://doi.org/10.1046/j.1460-2695.2003.00633.x
- M. Ciavarella and G. Meneghetti, ≪On fatigue limit in the presence of notches: classical vs. recent unified formulations≫, Int. J. Fatigue, 26, 289-298 (2004). https://doi.org/10.1016/S0142-1123(03)00106-3
- J.C. Ting and F.V. Lawrence, ≪A crack closure model for predicting the threshold stresses of notches≫, Fatigue Fract. Eng. Mater. Struct., 16, 93-114 (1993). https://doi.org/10.1111/j.1460-2695.1993.tb00073.x
- K. Sadananda, S. Sarkar, D. Kujawski and A.K. Vasudevan, ≪A two-parameter analysis of S-N fatigue life using Δσ and σmax≫, Int. J. Fatigue, 31, 1648-1659 (2009). https://doi.org/10.1016/j.ijfatigue.2009.03.007
- O.M. Herasymchuk and O.V. Kononuchenko, ≪The range of use of the critical distance concept to predict the endurance limit in the presence of stress raisers≫, Strength Mater., 52, 722-730 (2020). https://doi.org/10.1007/s11223-020-00225-3
- J. Maierhofer, H.P. Ganser and R. Pippan, ≪Modified Kitagawa-Takahashi diagram accounting for finite notch depths≫, Int. J. Fatigue, 70, 503-509 (2015). https://doi.org/10.1016/j.ijfatigue.2014.07.007
Розділ 4
- C. Depres, C.F. Robertson and M.C. Fivel, ≪Crack initiation in fatigue: experiments and three-dimensional dislocation simulations≫, Mater. Sci. Eng., 387, 288-291 (2004). https://doi.org/10.1016/j.msea.2003.12.084
- J.P. Hirth and J. Lothe, Theory of dislocations, 2nd ed., USA, Wiley (1982). https://doi.org/10.1115/1.3167075
- F. Bridier, P. Villechaise and J. Mendez, ≪Analysis of the different slip systems activated by tension in a a/b titanium alloy in relation with local crystallographic orientation≫, Acta Mater., 53, 555-567 (2005). https://doi.org/10.1016/j.actamat.2004.09.040
- M.J. Caton, R. John, W.J. Porter and M.E. Burba, ≪Stress ratio effects on small fatigue crack growth in Ti-6Al-4V≫, Int. J. Fatigue, 38, 36-45 (2012). https://doi.org/10.1016/j.ijfatigue.2011.11.004
- Y. Akiniwa and K. Tanaka, ≪Statistical characteristics of propagation of small fatigue crack in smooth specimens of aluminium alloy 2024-T3≫, Mater. Sci. Eng., 104, 105-115 (1988). https://doi.org/10.1016/0025-5416(88)90411-9
- Y.T. Lee, M. Peters and G. Wirth, ≪Effects of thermomechanical treatment on microstructure and mechanical properties of blended elemental Ti-6Al-4V compacts≫, Mater. Sci. Eng., A102, 105-114 (1988). https://doi.org/10.1016/0025-5416(88)90538-1
- Y.T. Lee, M. Peters and G. Welsch, ≪Elastic moduli and tensile and physical properties of heat-treated and quenched powder metallurgical Ti-6Al-4V alloy≫, Metal. Trans. A, 22A, 709-713 (1991). https://doi.org/10.1007/BF02670293
- R.W. Hertzberg, ≪A simple calculation of da/dN data in the near threshold regime and above≫, Int. J. Fract., 64, R53-R58 (1993). https://doi.org/10.1007/BF00015777
- K.S. Chan, ≪Variability of large-crack fatigue-crack-growth thresholds in structural alloys≫, Metal. Mater. Trans. A, 35A, 3721-3735 (2004). https://doi.org/10.1007/s11661-004-0278-2
- K. Tanaka and Y. Akiniwa, ≪Resistance curve method for predicting propagation threshold of short fatigue cracks at notches≫, Eng. Fract. Mech., 30, 863-876 (1988). https://doi.org/10.1016/0013-7944(88)90146-4
- J. Maierhofer, H.P. Ganser and R. Pippan, ≪Modified Kitagawa-Takahashi diagram accounting for finite notch depths≫, Int. J. Fatigue, 70, 503-509 (2015). https://doi.org/10.1016/j.ijfatigue.2014.07.007
- O.M. Herasymchuk, ≪Microstructurally-dependent model for predicting the kinetics of physically small and long fatigue crack growth≫, Int. J. Fatigue, 81, 148-161 (2015). https://doi.org/10.1016/j.ijfatigue.2015.08.002
- G. Leopold, Y. Nadot, T. Billaudeau and J. Mendez, ≪Influence of artificial and casting defects on fatigue strength of moulded components in Ti-6Al-4V alloy≫, Fatigue Fract. Eng. Mater. Struct., 38, 1026-1041 (2015). https://doi.org/10.1111/ffe.12326
- British Standard: Guide to methods for assessing the acceptability of flaws in metallic structures, BS 7910 (2005).
- I. Bantounas, D. Dye and T.C. Lindley, ≪The effect of grain orientation on fracture morphology during high-cycle fatigue of Ti-6Al-4V≫, Acta Mater., 57, 3584-3595 (2009). https://doi.org/10.1016/j.actamat.2009.04.018
- J. Polak and J. Man, ≪Experimental evidence and physical models of fatigue crack initiation≫, Int. J. Fatigue, 91, 294-303 (2016). https://doi.org/10.1016/j.ijfatigue.2016.02.021
- J.C. Newman Jr. and I.S. Raju, ≪Stress-intensity factor equations for cracks in threedimensional finite bodies≫, NASA Technical Memorandum 83200 (1981).
- J. Schijve, ≪Fatigue of structures and materials in the 20th century and the state of the art≫, Int. J. Fatigue, 25, 679-702 (2003). https://doi.org/10.1016/S0142-1123(03)00051-3
- K. Rege and D.G. Pavlou, ≪A one-parameter nonlinear fatigue damage accumulation model≫, Int. J. Fatigue, 98, 234-246 (2017). https://doi.org/10.1016/j.ijfatigue.2017.01.039
- E. Santecchia, A.M.S. Hamouda, F. Musharavati, E. Zalnezhad, M. Cabibbo and M. El Mehtedi et al., ≪A Review on fatigue life prediction methods for metals≫, Adv. Mater. Sci. Eng., 1-26 (2016). https://doi.org/10.1155/2016/9573524
