PSI - Issue 76

Kimmo Kärkkäinen et al. / Procedia Structural Integrity 76 (2026) 11–18

18

References

Antunes, F.V., Borrego, L.F.P., Costa, J.D., Ferreira, J.M., 2004. A numerical study of fatigue crack closure induced by plasticity. Fatigue & Fracture of Engineering Materials & Structures 27, 825–835. doi: 10.1111/j.1460-2695.2004.00738.x . Camas, D., Garcia-Manrique, J., Gonzalez-Herrera, A., 2011. Numerical study of the thickness transition in bi-dimensional specimen cracks. International Journal of Fatigue 33, 921–928. doi: 10.1016/j.ijfatigue.2011.02.006 . El Haddad, M., Topper, T., Smith, K., 1979. Prediction of non propagating cracks. Engineering Fracture Mechanics 11, 573–584. doi: 10.1016/ 0013-7944(79)90081-X . Elber, W., 1970. Fatigue crack closure under cyclic tension. Engineering Fracture Mechanics 2, 37–45. doi: 10.1016/0013-7944(70)90028-7 . Endo, M., Murakami, Y., 2025. Prediction model of s-n curve under mean stress without fatigue test or with a minimum number of fatigue tests. Theoretical and Applied Fracture Mechanics 138, 104918. doi: 10.1016/j.tafmec.2025.104918 . Frost, N., 1959. A relation between the critical alternating propagation stress and crack length for mild steel. Proceedings of the Institution of Mechanical Engineers 173, 811–836. Hertzberg, R.W., 1995. On the calculation of closure-free fatigue crack propagation data in monolithic metal alloys. Materials Science and Engineering: A 190, 25–32. doi: 10.1016/0921-5093(94)09610-9 . Kitagawa, H., Takahashi, S., 1976. Applicability of fracture mechanics to very small cracks or the cracks in the early stage. Proc. of 2nd ICM, Cleveland, 1976 , 627–631. Ka¨rkka¨inen, K., Vaara, J., Va¨nta¨nen, M., Niskanen, I., Frondelius, T., 2023. The role of plasticity-induced crack closure in the non-propagation prediction of surface defect-initiated cracks near fatigue limit. International Journal of Fatigue 168, 107462. doi: 10.1016/j.ijfatigue. 2022.107462 . Ka¨rkka¨inen, K., Vaara, J., Va¨nta¨nen, M., Åman, M., Frondelius, T., 2024. On fatigue behavior of short cracks subjected to compressive underloads. International Journal of Fatigue 186, 108383. doi: 10.1016/j.ijfatigue.2024.108383 . Maierhofer, J., Kolitsch, S., Pippan, R., Ga¨nser, H.P., Madia, M., Zerbst, U., 2018a. The cyclic R-curve – Determination, problems, limitations and application. Engineering Fracture Mechanics 198, 45–64. doi: 10.1016/j.engfracmech.2017.09.032 . Maierhofer, J., Pippan, R., Ga¨nser, H.P., 2014. Modified NASGRO equation for physically short cracks. International Journal of fatigue 59, 200–207. doi: 10.1016/j.ijfatigue.2013.08.019 . Maierhofer, J., Simunek, D., Ga¨nser, H.P., Pippan, R., 2018b. Oxide induced crack closure in the near threshold regime: The e ff ect of oxide debris release. International Journal of Fatigue 117, 21–26. doi: 10.1016/j.ijfatigue.2018.07.021 . McClung, R., Sehitoglu, H., 1989. On the finite element analysis of fatigue crack closure—2. Numerical results. Engineering Fracture Mechanics 33, 253–272. doi: 10.1016/0013-7944(89)90028-3 . More, S.S., Vaara, J., Ka¨rkka¨inen, K., Va¨nta¨nen, M., Frondelius, T., Mayer, H., Scho¨nbauer, B.M., 2025. Defect sensitivity of high-strength steel 42CrMo4: The role of crack initiation and non-propagation defining the fatigue limit. International Journal of Fatigue 201, 109147. doi: 10.1016/j.ijfatigue.2025.109147 . Murakami, Y., 2019a. 3 – Notch e ff ect and size e ff ect, in: Murakami, Y. (Ed.), Metal Fatigue (Second Edition). Academic Press, pp. 29–37. doi: 10.1016/B978-0-12-813876-2.00003-0 . Murakami, Y., 2019b. 6 – E ff ects of nonmetallic inclusions on fatigue strength, in: Murakami, Y. (Ed.), Metal Fatigue (Second Edition). Academic Press, pp. 95–150. doi: 10.1016/B978-0-12-813876-2.00006-6 . Murakami, Y., Endo, M., 1983. Quantitative evaluation of fatigue strength of metals containing various small defects or cracks. Engineering Fracture Mechanics 17, 1–15. doi: 10.1016/0013-7944(83)90018-8 . Murakami, Y., Endo, M., 1994. E ff ects of defects, inclusions and inhomogeneities on fatigue strength. International Journal of Fatigue 16, 163–182. doi: 10.1016/0142-1123(94)90001-9 . Newman, J.C., 1981. A crack-closure model for predicting fatigue crack growth under aircraft spectrum loading, in: Methods and models for predicting fatigue crack growth under random loading. ASTM International. Nisitani, H., 1968. E ff ects of size on the fatigue limit and the branch point in rotary bending tests of carbon steel specimens. Bulletin of JSME 11, 947–957. doi: 10.1299/jsme1958.11.947 . Pippan, R., Hohenwarter, A., 2017. Fatigue crack closure: a review of the physical phenomena. Fatigue & Fracture of Engineering Materials & Structures 40, 471–495. doi: 10.1111/ffe.12578 . Pokorny´, P., Vojtek, T., Kub´ıcˇek, R., Jambor, M., Na´hl´ık, L., Hutaˇr, P., 2025. Paradox of shorter residual fatigue life due to omission of low amplitude cycles and its significance for testing. Fatigue & Fracture of Engineering Materials & Structures 48, 956–966. doi: 10.1111/ffe. 14505 . Scho¨nbauer, B.M., Stanzl-Tschegg, S.E., 2013. Influence of environment on the fatigue crack growth behaviour of 12% Cr steel. Ultrasonics 53, 1399–1405. doi: 10.1016/j.ultras.2013.02.007 . ultrasonic Fatigue of Advanced Materials. Scho¨nbauer, B.M., Yanase, K., Endo, M., 2017. The influence of various types of small defects on the fatigue limit of precipitation-hardened 17-4PH stainless steel. Theoretical and Applied Fracture Mechanics 87, 35–49. doi: 10.1016/j.tafmec.2016.10.003 . Suresh, S., Ritchie, R.O., 1983. Near-threshold fatigue crack-propagation – a perspective on the role of crack closure. Journal of Metals 35, A4. Tanaka, K., Akiniwa, Y., 1988. Resistance-curve method for predicting propagation threshold of short fatigue cracks at notches. Engineering Fracture Mechanics 30, 863–876. doi: 10.1016/0013-7944(88)90146-4 . Taylor, D., 1999. Geometrical e ff ects in fatigue: a unifying theoretical model. International Journal of Fatigue 21, 413–420. doi: 10.1016/ S0142-1123(99)00007-9 . Vaara, J., Ka¨rkka¨inen, K., Va¨nta¨nen, M., Kemppainen, J., Scho¨nbauer, B., More, S., Å man, M., Frondelius, T., 2025. Probabilistic description of the cyclic R-curve based on microstructural barriers. International Journal of Fatigue 198, 108953. doi: 10.1016/j.ijfatigue.2025.108953 .