Abstract
A phenomenological model of brittle fatigue fracture in metals and alloys is discussed in the case of proportional (simple) loading. The model is formulated in the framework of the physico-mechanical approach as a system of hypotheses concerning the probability of defect evolution at various scale-structural levels, such as micro- and macrocracks. The described constitutive relations are based on this model. A number of fatigue curves are obtained for various limit states of metals.
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References
P. S. Volegov, D. S. Gribov, and P. V. Trusov, “Damage and Fracture: Classical Continuum Theories,” Fiz. Mesomech. 18 (4), 68–86 (2015).
L. R. Botvina, Fracture: Kinetics, Mechanisms, General Laws (Nauka, Moscow, 2008) [in Russian].
V. S. Ivanova, Fatigue Fracture of Metals (Metallurgiya, Moscow, 1963) [in Russian].
V. F. Terent’ev and S. A. Korableva, Fatigue of Metals (Nauka, Moscow, 2015) [in Russian].
A. M. Glezer, E. V. Kozlov, N. A. Koneva, N. A. Popova, and I. A. Kurzina, Plastic Deformation of Nanostructured Materials (Fizmatlit, Moscow, 2016; CRC Press, Boca Raton, 2017).
V. I. Betekhtin and A. G. Kadomtsev, “Evolution of Microscopic Cracks and Pores in Solids under Loading,” Fiz. Tverd. Tela 47 (5), 801–807 (2005) [Phys. Solid State 47 (5), 825–831 (2005)].
B. I. Zavoychinskiy and E. B. Zavoychinskaya, “The Physical Mechanics of Micro and Macro Failure of Steels and Alloys at Cyclic Loading,” Handbook Eng. J., No. 8, 16–22 (2011).
E. B. Zavoychinskaya, “Micro- and Macromechanics of Fracture of Structural Elements,” Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, No. 3, 54–77 (2012) [Mech. Solids 47 (3), 304–323 (2012)].
E. B. Zavoychinskaya, “Theory of the Gradual Accumulation of Fatigue Damage in Metals under Proportional Cyclic Loading,” Izv. Mosk. Gos. Mashinostr. Univ. 4 (2), 68–75 (2015).
E. B. Zavoychinskaya and B. I. Zavoychinskiy, “On the Theory of Gradual Damage Accumulation in Metals,” in Elasticity and Inelasticity (Mosk. Gos. Univ., Moscow, 2016), pp. 308–313.
E. B. Zavoychinskaya, “About Micro- and Macrocrack Grow in Metals and Alloys at a Proportional Cyclic Loading,” Probl. Mashinostr. Avtomatiz., No. 1, 98–108 (2016).
E. B. Zavoychinskaya, “Theory of the Gradual Accumulation of Fatigue Damage in Metals under Complex Stress State,” in Problems of Applied Mathematics and Interaction of Solids with Fluid Media (Dialog-MIFI, Moscow, 2017), pp. 68–82.
E. B. Zavoychinskaya, “On a Fatigue Fracture Criterion in Metals at Various Scale-Structural Levels under Uniaxial Loading with Unsymmetric Cycles,” in Dynamic and Technological Problems of Structural Mechanics and Continuum Media (OOO TRP, Moscow, 2017), Vol. 2, pp. 119–127.
E. B. Zavoychinskaya, “On the Theory of Gradual Fatigue Fracture in Metals under Complex Stress State,” in Fundamental Studies and Innovation Technologies in Mechanical Engineering (Spektr, Moscow, 2017), pp. 99–101.
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Russian Text © E.B. Zavoichinskaya, 2019, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2019, Vol. 74, No. 2, pp. 29–34.
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Zavoichinskaya, E.B. Fatigue Fracture of Metals under Complex Stress State with Consideration of Structural Changes. Moscow Univ. Mech. Bull. 74, 36–40 (2019). https://doi.org/10.3103/S002713301902002X
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DOI: https://doi.org/10.3103/S002713301902002X