Influence of random fatigue loading non-proportionality on damage

Skibicki, 2014 Skibicki, 2007, Experimental verification of fatigue loading nonproportionality model, J. Theoret. Appl. Mech., 45, 337 Socie, 1987, Multiaxial fatigue damage models, J. Eng. Mater. Technol. ASME, 109, 293, 10.1115/1.3225980 Ellyin, 1991, In-phase and out-of-phase multiaxial fatigue, J. Eng. Mater. Technol. ASME, 113, 112, 10.1115/1.2903365 Nishihara, 1945, The strength of metals under combined alternating bending and torsion with phase difference, Memoir. College Sci., Kyoto Imperial Univ., 11, 85 McDiarmid, 1986, Fatigue under out-of-phase bending and torsion, Fatigue Fract. Eng. Mater. Struct., 9, 457, 10.1111/j.1460-2695.1987.tb00471.x Itoh, 2003, 423 McDowell, 1988, Biaxial path dependence of deformation substructure of type-304 stainless-steel, Metall. Mater. Trans. A, 19, 1277, 10.1007/BF02662589 Liu, 2001, An energy method for predicting fatigue life, crack orientation, and crack growth under multiaxial loading conditions, Int. J. Fatigue, 23, 129, 10.1016/S0142-1123(01)00169-4 Zhang, 2005, An experimental investigation on cyclic plastic deformation and substructures of polycrystalline copper, Int. J. Plast., 21, 2191, 10.1016/j.ijplas.2005.02.004 Nishino, 1986, Microstructural study of cyclic strain-hardening behavior in biaxial stress states at elevated-temperature, Fatigue Fract. Eng. Mater. Struct., 9, 65, 10.1111/j.1460-2695.1986.tb01212.x E.R. Rios, R.M. Andrews, M.W. Brown, K.J. Miller, Out-of-phase cyclic deformation and fatigue fracture studies on 316 stainless steel. In: Biaxial and multiaxial fatigue, EGF 3. Mechanical Engineering Publications, 1989. Jiao, 1995, Biaxial path-dependence of low-cycle fatigue behavior and microstructure of Alloy 800-H at room-temperature, Mater. Sci. Eng., A, 196, 19, 10.1016/0921-5093(94)09690-2 Xiao, 1996, Biaxial path dependence of macroscopic response and microscopic dislocation substructure in type 302 stainless steel, Acta Mater., 44, 3059, 10.1016/1359-6454(95)00441-6 Kida, 1997, Dislocation structure and nonproportional hardening of Type 304 stainless steel, Fatigue Fract. Eng. Mater. Struct., 20, 1375, 10.1111/j.1460-2695.1997.tb01496.x Xiao, 2000, Biaxial low cycle fatigue properties and dislocation substructures of zircaloy-4 under in-phase and out-of-phase loading, Mater. Sci. Eng. A, Struct. Mater., 292, 40, 10.1016/S0921-5093(00)01005-4 Bocher, 2001, Mechanical and microstructural investigations of an austenitic stainless steel under non-proportional loadings in tension torsion- internal and external pressure, Int. J. Plast., 17, 1491, 10.1016/S0749-6419(01)00013-4 Kanazawa, 1977, Low-cycle fatigue under out-of-phase loading conditions, J. Eng. Mater. Technol. ASME, 99, 222, 10.1115/1.3443523 Ohkawa, 1997, A study on fatigue crack growth under out-of-phase combined loadings, Fatigue Fract. Eng. Mater. Struct., 20, 929, 10.1111/j.1460-2695.1997.tb01536.x Ahmadi, 2005, Simulation of microcrack growth for different load sequences and comparison with experimental results, Int. J. Fatigue, 27, 853, 10.1016/j.ijfatigue.2005.02.005 Verreman, 2007, High-cycle fatigue mechanisms in 1045 steel under non-proportional axial-torsional loading, Fatigue Fract. Eng. Mater. Struct., 30, 932, 10.1111/j.1460-2695.2007.01164.x Reis, 2006, Analytical and experimental studies on fatigue crack path under complex multiaxial loading, Fatigue Fract. Eng. Mater. Struct., 29, 281, 10.1111/j.1460-2695.2006.01001.x De Freitas, 2006, Li., B., Comparative study on biaxial low-cycle fatigue behaviour of three structural steels, Fatigue Fract. Eng. Mater. Struct., 29, 992, 10.1111/j.1460-2695.2006.01061.x L. Reis, B. Li, M. Freitas, Evaluation of a Multiaxial Fatigue Models for a Structural Steel (42CrMo4), in: Proceedings of 8th Int. Conference on Multiaxial Fatigue & Fracture, 2007. Qian, 1996, Mixed mode fatigue crack growth: a literature survey, Eng. Fract. Mech., 55, 969, 10.1016/S0013-7944(96)00071-9 Feng, 2006, A study of loading path influence on fatigue crack growth under combined loading, Int. J. Fatigue, 28, 19, 10.1016/j.ijfatigue.2005.04.002 Nakamura, 2011, Fatigue crack initiation and growth behavior of Ti-6Al-4V under non-proportional multiaxial loading, Int. J. Fatigue, 33, 842, 10.1016/j.ijfatigue.2010.12.013 Socie, 1999 Skibicki, 2012, Steel X2CrNiMo17-12-2 testing for uniaxial, proportional and non-proportional loads as delivered and in the annealed condition, Fatigue Fail. Fract. Mech., 726, 171 Berto, 2015, Fatigue strength of severely notched specimens made of Ti–6Al–4V under multiaxial loading, Fatigue Fract. Eng. Mater. Struct., 38, 503, 10.1111/ffe.12272 Karolczuk, 2016, Analysis of revised fatigue life calculation algorithm under proportional and non-proportional loading with constant amplitude, Int. J. Fatigue, 88, 111, 10.1016/j.ijfatigue.2016.03.027 Gallo, 2017, Analysis of multiaxial low cycle fatigue of notched specimens for type 316L stainless steel under non-proportional loading, Theor. Appl. Fract. Mech., 89, 79, 10.1016/j.tafmec.2017.01.009 Itoh, 2017, Multiaxial low cycle fatigue life of Ti-6Al-4V under non-proportional loading with mean strain, Theor. Appl. Fract. Mech., 90, 165, 10.1016/j.tafmec.2017.04.004 Carpinteri, 2018, Welded joints under multiaxial non-proportional loading, Theor. Appl. Fract. Mech., 93, 202, 10.1016/j.tafmec.2017.08.004 Carpinteri, 2016, Spectral fatigue life estimation for non-proportional multiaxial random loading, Theor. Appl. Fract. Mech., 83, 67, 10.1016/j.tafmec.2015.12.019 Carpinteri, 2016, Fatigue life evaluation of metallic structures under multiaxial random loading, Int. J. Fatigue, 90, 191, 10.1016/j.ijfatigue.2016.05.007 Vantadori, 2018, Methodology for assessing embryonic cracks development in structures under high-cycle multiaxial random vibrations, Fatigue Fract. Eng. Mater. Struct., 41, 20, 10.1111/ffe.12634 Vantadori, 2018, Discussion on fatigue life estimation under multiaxial random loading: comparison between time- and frequency-domain approach, Theor. Appl. Fract. Mech., 10.1016/j.tafmec.2018.02.009 Marciniak, 2008, Fatigue lives of 18G2A and 10HNAP steels under variable amplitude and random non-proportional bending with torsion loading, Int. J. Fatigue, 30, 800, 10.1016/j.ijfatigue.2007.07.001 Bower, 2009 Carpinteri, 2011, Multiaxial fatigue assessment using a simplified critical plane-based criterion, Int. J. Fatigue, 33, 969, 10.1016/j.ijfatigue.2011.01.004 Carpinteri, 2013, Structural integrity assessment of metallic components under multiaxial fatigue: the C-S criterion and its evolution, Fatigue Fract. Eng. Mater. Struct., 36, 870, 10.1111/ffe.12037 Dirlik, 1985 FKM-Guideline, Analytical Strength Assessment of Components in Mechanical Engineering, German Council for Engineering Research, Forschungskuratorium Maschinenbau (FKM), Frankurt, Germany, 2012. Lee, 2011