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29. Marmi, A.K., Habraken, A.M., Duchene, L.: Multiaxial fatigue damage modeling at macro
scale of Ti6Al4V alloy. Int. J. Fatigue 31, 2031–2040 (2009)
30. Zhi, Y.H., Wagner, D., Bathias, C., Chaboche, J.L.: Cumulative fatigue damage in low cycle
fatigue and gigacycle fatigue for low carbon–manganese steel. Int. J. Fatigue 33, 115–121
(2011)
31. Fincato, R., Tsutsumi, S.: Coupled damage-viscoplasticity model for metals under cyclic
loading conditions. Procedia Struct. Int. 18, 75–85 (2019)
32. Chaboche, J.L.: Time-independent constitutive theories for cyclic plasticity. Int. J. Plast 2(2),
149–188 (1986)
33. Burago, N.G., Nikitin, I.S.: Multiaxial fatigue criteria and durability of titanium compressor
disks in low- and giga- cycle fatigue modes. In: Mathematical Modeling and Optimization of
Complex Structures, pp. 117–130. Springer, Heidelberg (2016)
34. Shanyavskiy, A.A., Soldatenkov, A.P.: The fatigue limit of metals as a characteristic of the
multimodal fatigue life distribution for structural materials. Procedia Struct. Int. 23, 63–68
(2019)
35. Gates, N., Fatemi, A.: Multiaxial variable amplitude fatigue life analysis including notch effects.
Int. J. Fatigue 91, 337–351 (2016)
36. Burago, N.G., Nikitin, I.S., Nikitin, A.D., Stratula, B.A.: Algorithms for calculation damage
processes. Frattura ed Integrità Strutturale 49, 212–224 (2019)
37. Perez-Mora, R.: Study of the fatigue strength in the gigacycle regime of metallic alloys used
in the aeronautics and off-shore industries. Thèse de doctorat en Mécanique. https://www.the
ses.fr/2010ENAM0027# (2010)
I. S. Nikitin et al.
27. Altenbach, H., Skrzypek, J.J. (eds.): Creep and Damage in Materials and Structures. Springer
Vienna, Vienna (1999)
28. Lemaitre, J., Chaboche, J.L.: Mechanics of solid materials. Cambridge University Press,
Cambridge (1994)
29. Marmi, A.K., Habraken, A.M., Duchene, L.: Multiaxial fatigue damage modeling at macro
scale of Ti6Al4V alloy. Int. J. Fatigue 31, 2031–2040 (2009)
30. Zhi, Y.H., Wagner, D., Bathias, C., Chaboche, J.L.: Cumulative fatigue damage in low cycle
fatigue and gigacycle fatigue for low carbon–manganese steel. Int. J. Fatigue 33, 115–121
(2011)
31. Fincato, R., Tsutsumi, S.: Coupled damage-viscoplasticity model for metals under cyclic
loading conditions. Procedia Struct. Int. 18, 75–85 (2019)
32. Chaboche, J.L.: Time-independent constitutive theories for cyclic plasticity. Int. J. Plast 2(2),
149–188 (1986)
33. Burago, N.G., Nikitin, I.S.: Multiaxial fatigue criteria and durability of titanium compressor
disks in low- and giga- cycle fatigue modes. In: Mathematical Modeling and Optimization of
Complex Structures, pp. 117–130. Springer, Heidelberg (2016)
34. Shanyavskiy, A.A., Soldatenkov, A.P.: The fatigue limit of metals as a characteristic of the
multimodal fatigue life distribution for structural materials. Procedia Struct. Int. 23, 63–68
(2019)
35. Gates, N., Fatemi, A.: Multiaxial variable amplitude fatigue life analysis including notch effects.
Int. J. Fatigue 91, 337–351 (2016)
36. Burago, N.G., Nikitin, I.S., Nikitin, A.D., Stratula, B.A.: Algorithms for calculation damage
processes. Frattura ed Integrità Strutturale 49, 212–224 (2019)
37. Perez-Mora, R.: Study of the fatigue strength in the gigacycle regime of metallic alloys used
in the aeronautics and off-shore industries. Thèse de doctorat en Mécanique. https://www.the
ses.fr/2010ENAM0027# (2010)
