Density evolution of atomic vacancies in copper single crystals during initial stage of fatigue deformation

Reference

• S. Suresh, Fatigue of Materials, 2nd ed. Cambridge university press, Cambridge, 2006.
   Google Scholar
• T. Fujii, T. Kajita, T. Miyazawa and S. Arai, Characterization of dislocation microstructures in cyclically deformed [001] copper single crystals using high voltage scanning transmission electron microscopy. Mater. Charact 136 (2018), pp. 206–211. doi: 10.1016/j.matchar.2017.12.026
   Web of Science ®Google Scholar
• H. Mughrabi, The cyclic hardening and saturation behaviour of copper single crystals. Mater. Sci. Eng 33 (1978), pp. 207–223. doi: 10.1016/0025-5416(78)90174-X
   Google Scholar
• L.M. Brown, Cracks and extrusions caused by persistent slip bands. Phil. Mag 93 (2013), pp. 3809–3820. doi: 10.1080/14786435.2013.798048
   Google Scholar
• U. Essmann, U. Gösele and H. Mughrabi, A model of extrusions and intrusions in fatigued metals I. Point-defect production and the growth of extrusions, Philos. Mag. A Phys. Condens. Matter. Struct. Defects Mech. Prop 44 (1981), pp. 405–426.
   Google Scholar
• J. Man, P. Klapetek, O. Man, A. Weidner, K. Obrtlík and J. Polák, Extrusions and intrusions in fatigued metals. Part 2. AFM and EBSD study of the early growth of extrusions and intrusions in 316L steel fatigued at room temperature. Philos. Mag. 89 (2009), pp. 1337–1372. doi: 10.1080/14786430902917624
   Web of Science ®Google Scholar
• J. Polák, On the role of point defects in fatigue crack initiation. Mater. Sci. Eng 92 (1987), pp. 71–80. doi: 10.1016/0025-5416(87)90157-1
   Google Scholar
• L.M. Brown and F.R.N. Nabarro, The enumeration and transformation of dislocation dipoles II. The transformation of interstitial dipoles into vacancy dipoles in an open dislocation array. Philos. Mag 84 (2004), pp. 441–450. doi: 10.1080/14786430310001611671
   Web of Science ®Google Scholar
• K. Tanaka and T. Mura, A dislocation model for fatigue crack initiation. J. Appl. Mech 48 (1981), pp. 97–103. doi: 10.1115/1.3157599
   Web of Science ®Google Scholar
• U. Essmann and H. Mughrabi, Annihilation of dislocations during tensile and cyclic deformation and limits of dislocation densities. Philos. Mag. A 40 (1979), pp. 731–756. doi: 10.1080/01418617908234871
   Web of Science ®Google Scholar
• T. Ohashi, Dislocation density-based modeling of crystal plasticity finite element analysis, in Handbook of Mechanics of Materials, C.-H. Hsueh, S. Schmauder, and Y. Kagawa, eds., Springer Nature, Singapore, 2018. pp. 1–26.
   Google Scholar
• T. Ohashi, Generation and accumulation of atomic vacancies due to dislocation movement and pair annihilation. Philos. Mag 98 (2018), pp. 2275–2295. doi: 10.1080/14786435.2018.1478142
   Web of Science ®Google Scholar
• J. Polák, Resistivity of fatigued copper single crystals. Mater. Sci. Eng 89 (1987), pp. 35–43. doi: 10.1016/0025-5416(87)90247-3
   Google Scholar
• T. Ohashi, Computer simulation of non-uniform multiple slip in face centered cubic bicrystals. Trans. JIM 28 (1987), pp. 906–915. doi: 10.2320/matertrans1960.28.906
   Google Scholar
• U.F. Kocks and H. Mecking, Physics and phenomenology of strain hardening: the FCC case. Prog. Mater. Sci 48 (2003), pp. 171–273. doi: 10.1016/S0079-6425(02)00003-8
   Web of Science ®Google Scholar
• U.F. Kocks, Laws for work-hardening and low-temperature creep. Trans. ASME, J. Eng. Mat. Tech 98 (1976), pp. 76–85. doi: 10.1115/1.3443340
   Web of Science ®Google Scholar
• H. Mecking and U.F. Kocks, Kinetics of flow and strain-hardening. Acta Metall. 29 (1981), pp. 1865–1875. doi: 10.1016/0001-6160(81)90112-7
   Google Scholar
• T. Ohashi, M. Kawamukai and H. Zbib, A multiscale approach for modeling scale-dependent yield stress in polycrystalline metals. Int. J. Plast 23 (2007), pp. 897–914. doi: 10.1016/j.ijplas.2006.10.002
   Web of Science ®Google Scholar
• T. Ohashi and Y. Okuyama, Crystal plasticity analysis of mechanical response and size effect in Two Phase Alloys with Dispersion of Fine Particles. Key Eng. Mater 725 (2017), pp. 267–272. doi: 10.4028/www.scientific.net/KEM.725.267
   Google Scholar
• D. Kuhlmann-Wilsdorf, Theory of plastic deformation: - properties of low energy dislocation structures. Mater. Sci. Eng. A 113 (1989), pp. 1–41. doi: 10.1016/0921-5093(89)90290-6
   Web of Science ®Google Scholar
• A.S. Argon, Strengthening Mechanisms in Crystal Plasticity, Oxford university press, Oxford, 2008.
   Google Scholar
• H. Wang, D. Xu, R. Yang and P. Veyssière, The transformation of edge dislocation dipoles in aluminium. Acta Mater. 56 (2008), pp. 4608–4620. doi: 10.1016/j.actamat.2008.05.019
   Web of Science ®Google Scholar
• H. Wang, D.S. Xu, R. Yang, and P. Veyssière, The transformation of narrow dislocation dipoles in selected fcc metals and in γ-TiAl. Acta Mater. 57 (2009), pp. 3725–3737. doi: 10.1016/j.actamat.2009.04.019
   Web of Science ®Google Scholar
• S. Brinckmann, R. Sivanesapillai and A. Hartmaier, On the formation of vacancies by edge dislocation dipole annihilation in fatigued copper. Int. J. Fatigue 33 (2011), pp. 1369–1375. doi: 10.1016/j.ijfatigue.2011.05.004
   Web of Science ®Google Scholar
• F. Appel, D. Herrmann, F.D. Fischer, J. Svoboda, and E. Kozeschnik, Role of vacancies in work hardening and fatigue of TiAl alloys. Int. J. Plast. 42 (2013), pp. 83–100. doi: 10.1016/j.ijplas.2012.10.001
   Web of Science ®Google Scholar
• Y. He, Z. Liu, G. Zhou, H. Wang, C. Bai, D. Rodney, F. Appel, D. Xu, R. Yang, Dislocation dipole-induced strengthening in intermetallic TiAl. Scr. Mater 143 (2018), pp. 98–102. doi: 10.1016/j.scriptamat.2017.09.010
   Web of Science ®Google Scholar
• T. Ohashi, M. Kawamukai and H. Zbib, Crystal plasticity modeling of scale dependency of yield stress for metal polycrystals, in Proceedings of PLASTICITY ‘06: The Twelfth International Symposium on Plasticity and its Current Applications, A.S. Khan and R. Kazmi, eds., NEAT press, Halifax, 2006, pp. 457–459.
   Google Scholar
• R. Hill, Generalized constitutive relations for incremental deformation of metal crystals by multislip. J. Mech. Phys. Solids 14 (1966), pp. 95–102. doi: 10.1016/0022-5096(66)90040-8
   Web of Science ®Google Scholar