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A. Shanyavskiy, Frattura ed Integrità Strutturale, 25 (2013) 36-43; DOI: 10.3221/IGF-ESIS.25.06 42 nano-structure with their rotation and spherical particles forming. 2. It was considered quantum-mechanical nature of metals fatigue cracking on nano-scale level and shown that crack increments in loading cycle have to be strongly expressed in accordance with introduced expression. 3. Simply equation was considered for subsurface cracking description and number of cycles’ estimation. It can be used in failure analyses of in-service cracked structures. R EFERENCES [1] Bathias, C., Paris, C.P., Gigacycle fatigue in mechanical practice. Marcel Dekker, NY, USA, (2004). [2] Sakai, T., Li, W., Lian, B., Oguma, N., Review and new analyses of fatigue crack initiation mechanisms of interior inclusion-induced fracture of high strength steels in very high cycle regime, in: C.Berger and H.-J.Christ (Eds.), Proc. of the Int. Conf. VHCF5, DVM, June 28-30, 2011, Berlin, Germany, (2011) 19-26. [3] J.E., Jones, J.W., Larsen, J.M., Ritchie, R.O., Proc. of Fourth International Conference on Very High Cycle Fatigue, VHCF5, Edited by Allison, August 19-22, 2007. University of Michigan, Ann-Arbour, Michigan, USA, (2007). [4] Shanyavskiy, A.A., Modelling of metals fatigue cracking. Synergetics in aviation. Ufa, Monograph, Russia, (2007). [5] Karsch, T., Bomas, H., Zoch, H.-W., Influence of hydrogen and microstructure on the fatigue behavior of steel SAE 52100 in the VHCF regime, in: C.Berger and H.-J.Christ (Eds.), Proc. of the Int. Conf. VHCF5, Eds., DVM, June 28- 30, 2011, Berlin, Germany, (2011) 201-206. [6] Nakamura, T., Oguma, H., Influence of environment on the formation unique morphology on fracture surface in subsurface fractures, in: C.Berger and H.-J.Christ (Eds.), Proc. of the Int. Conf. VHCF5, Eds., DVM, June 28-30, 2011, Berlin, Germany, (2011) 257-263 [7] Murakami, Yu., Metals Fatigue: Effects of Small Defects and Nonmetallic inclusions. Elsevier Ltd, London, UK, (2002). [8] Shanyavskiy, A.A., Fatigue cracking of smooth and notched specimens of compacted superalloy EP741 NP in high- and very-high-cycle-fatigue regime, in: C.Berger and H.-J.Christ (Eds.), Proc. of the Int. Conf. VHCF5, Eds., DVM, June 28-30, 2011, Berlin, Germany, (2011) 107-112. [9] Carboni, M., Annoni, M., Ferraris, M., Analyses of premature failure of some aluminum alloy sonotrodes for ultrasonic welding, in: C. Berger and H.-J. Christ (Eds.), Proc. of the Int. Conf. VHCF5, Eds., DVM, June 28-30, 2011, Berlin, Germany, (2011) 589-594 [10] Huang, Z., Wagner, D., Bathias, C., Paris, C.P., Subsurface crack initiation and propagation mechanisms in gigacycle fatigue. Acta Materialia, 58 (2010) 6046-6054. [11] Shanyavskiy, A., Banov, M., The twisting mechanism of subsurface fatigue cracking in Ti–6Al–2Sn–4Zr–2Mo–0.1Si alloy. Engineering Fracture Mechanics, 77 (2010) 1896–1906 [12] Vasiliyev, L.S., At the theory of metals plastic deformation with melted grain boundaries. Metals, 1 (2002) 112 – 122 (Russia) [13] Wang, C., Nikitin, A., Shanyavskiy, A., Bathias, C., An understanding of crack growth in VHCF from an internal inclusion in high strength steel. in: Andrea Carpinteri, Andrea Spagnoli (Eds), Proceed. of the 4-th Intern. Conf. on “Crack Paths (CP 2012”), Gaeta (Italy), 19-21 September, (2012) 43. [14] Shiozawa, K., Lu, L., Very high-cycle fatigue behaviour of shot-peened high-carbon chromium bearing steels. Fatigue Fract. Engng. Mater. Struct., 25 (2002) 813-822 [15] Karsch, T., Bomas, H., Zoch H.-W., Influence of hydrogen and microstructure on the fatigue behaviour of steel SAE 52100 in the VHCF regime. in: C.Berger and H.-J.Christ (Eds.), Proc. of the Int. Conf. VHCF5, Eds., DVM, June 28- 30, 2011, Berlin, Germany, (2011) 201-206. [16] Shanyavskiy, A.A., Synergetical models of fatigue surface appearance in metals: the scale levels of self-organization the rotation effects, and density of fracture energy, in: G.N.Frantziskonis (Ed.) Proc. NATO “Advanced Research Workshop on PROBAMAT-21st Century”, Tests, Models and Applications for the 21-st Century, Sept. 10-12 1997, Kluwer Academic Publisher (1998) 11-44. [17] Shanyavskiy, A.A., Fatigue cracking simulation based on crack closure effects in Al-based sheet materials subjected to biaxial cyclic loads. Engineering Fracture Mechanics, Special issue, Multiaxial Fatigue, (Ed. by Andrea Carpinteri, Les P.Pook, Andrea Spagnoli), 78 (2011) 1516–1528 [18] Gurevich, S.E., Some aspects of fatigue fracture mechanics. In: Ivanova, V.S. and Gurevich, S.E. (Eds), Cyclical fracture toughness of metals and alloys, Nauka, Moscow, SSSR, (1981) 19-38.
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