Abstract
In this chapter, regarding small inner cracks in creep-fatigue of austenitic stainless steel SUS304, we proposed a numerical simulation method to estimate the spatial distribution of small inner cracks and its changes that cannot be directly and continuously observed, based on the observations of intergranular cracks on the stress axis longitudinal section of specimens obtained from interrupted tests. The small inner crack model, which is the basis of this simulation, is created by a computer model of a stack of planes (multiplanes) consisting of grain boundary facets projected on a plane perpendicular to the stress axis, and cracks are assumed to initiate and grow on grain boundary facets with a temporal and spatial distribution in units of grain boundary facets. By selecting an appropriate crack initiation driving force F and crack propagation driving force K, the crack density, mean crack length, and crack length distribution actually measured on a longitudinal section can be well reproduced from early to late life.
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References
For example, M.E. Evans, Mechanism of Creep Fracture, (Elsevier Applied Science Publishers, 1984), pp. 15–25
S. Usami, Y. Fukuda, S. Shida, Micro-crack initiation and propagation in 304 stainless steel plain specimen under fatigue-oxidation interaction at elevated temperature. J. Soc. Mat. Sci. Japan 33(471), 685–691 (1984) (in Japanese)
R. Ohtani, T. Kinami, H. Sakamoto, Small crack propagation in high temperature creep-fatigue of 304 stainless steel. Trans. Japan Soc. Mech. Eng. Ser. A 52(480), 1824–1830 (1986) (in Japanese)
M. Okazaki, T. Endoh, T. Yada, T. Koizumi, Surface small crack growth behavior of sus304 stainless steel in low cycle fatigue under creep-fatigue condition at elevated temperature. J. Soc. Mat. Sci. Japan 36(410), 1232–1238 (1987) (in Japanese)
R. Ohtani, T. Kitamura, H. Murayama, N. Tada, Simulation of initiation and early propagation of creep-fatigue small cracks based on the model of random fracture resistance of grain boundaries. Trans. Japan Soc. Mech. Eng. Ser. A 54(503), 1312–1316 (1988) (in Japanese)
R. Ohtani, T. Kitamura, N. Tada, Numerical simulation of initiation and early propagation of creep-fatigue small cracks based on a model of random fracture resistance of grain boundary. in Structural design for elevated temperature environments, ASME PVP, ed. by C. Becht, R. Ohtani, L.K. Severud, S.Y. Zamrik, ASME, vol 163 (New York, 1989), pp. 123–127
N.Tada, T. Kitamura, R. Ohtani, Monte Carlo simulation of creep-fatigue small cracks based on a three-dimensional model of random fracture resistance of grain boundaries. Trans. Japan Soc. Mech. Eng. Ser. A 56(524), 708–714 (1990) (in Japanese)
R. Ohtani, T. Kitamura, N. Tada, Stochastic simulation of initiation and growth of small surface cracks in creep-fatigue condition, Proceedings 4th International Conference on Fatigue and Fatigue Thresholds (Fatigue 90), Materials and Component Engineering Pub., vol 4 (Birmingham, 1990) pp. 2143–2148
T. Kitamura, N. Tada, M. Abe, M. Yumita, R. Ohtani, Effect of compression-going strain rate on initiation and growth of small cracks under creep-fatigue condition. Trans. Japan Soc. Mech. Eng. Ser. A 56(523), 575–581 (1990) (in Japanese)
N. Tada, Kyoto University Doctoral Dissertation (1992)
W.A. Johnson, R.F. Mehl, Reaction kinetics in processes of nucleation and growth. Trans. AIME 135, 416–442 (1939)
K.W. Mahin, K. Hanson, J.W. Morris Jr., Comparative analysis of the cellular and Johnson-Mehl microstructures through computer simulation. Acta Metall. 28(4), 443–453 (1980)
K. Binder, Monte Carlo method in statistical physics (Springer Verlag, 1984)
L.M. Kachanov, On creep rupture time, Izv. Acad. Nauk. SSSR, Otd Techn. Nauk No.8 (1958), pp. 26–31
J. Lemaitre, A. Plumtree, Application of damage concepts to predict creep-fatigue failures. Trans. ASME 101, 284–292 (1979)
S. Murakami, Recent topics in continuum damage mechanics. Trans. Japan Soc. Mech. Eng. Ser. A 51, 1651–1659 (1985). ((in Japanese))
J. Lemaitre, J.L. Chaboche, Mechanics of solid materials, (Cambridge University Press, 1990), pp. 346–356
R. Ohtani, K. Yamada, T. Kashiwagi, H. Matsubara, Crack propagation of 304 stainless steel in low cycle fatigue at elevated temperature. Trans. Japan Soc. Mech. Eng. Ser. A 48(435), 1378–1390 (1982) (in Japanese)
T. Kitamura, Kyoto University Doctoral Dissertation (1986)
M.Y. He, J.W. Hutchinson, The penny-shaped crack and the plane strain crack in an infinite body of power-law material. Trans. ASME 48, 830–840 (1981)
N. Tada, W. Zhou, T. Kitamura, R. Ohtani, Analysis of the intergranular cracking process inside polycrystalline heat-resistant materials under creep-fatigue conditions, Elevated temperature effects on fatigue and fracture. in Elevated temperature effects on fatigue and fracture, ed. by R.S. Piascik, R.P. Gangloff, A. Saxena (1997), pp. 87–101
W. Zhou, Research on the initiation, growth, and healing of small inner cracks under high-temperature creep-fatigue conditions of heat-resistant steel Kyoto University Doctoral Dissertation (1995) (in Japanese)
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Zhou, W., Tada, N., Sakamoto, J. (2024). Numerical Simulation of the Initiation and Growth of Small Inner Cracks. In: Creep-Fatigue Fracture: Analysis of Internal Damage. Springer Series in Materials Science, vol 344. Springer, Singapore. https://doi.org/10.1007/978-981-97-1879-5_6
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DOI: https://doi.org/10.1007/978-981-97-1879-5_6
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