Mathematical Generalization of Experimental Results on the Development of Single Twin Layers in Metal Materials
DOI:
https://doi.org/10.15407/ujpe66.9.811Keywords:
mathematical model, model parameters, twin, twin boundary, dislocation structure, creep mode, active load, pulsating load, alternating load, hardening, Bauschinger effect, forest dislocations, initial conditionsAbstract
A mathematical model has been proposed for the development of single twin layers in metal crystals under various loading regimes and various conditions. The model parameters depend on the geometric characteristics of the twin layer, the physical characteristics of the crystal, the Burgers vector, and the motion velocity of twin dislocations. Methods for the determination of the phenomenological parameters from experimental data were developed. In some cases, a comparison of the parameter values calculated in the framework of the proposed mathematical model with those obtained from experimental data was made, which demonstrated their satisfactory consistency. The proposed model can be useful for the development of a quantitative theory of twinning.
References
I.M. Lifshits. On the macroscopic description of the crystal twinning phenomenon. Zh.'Eksp. Teor. Fiz. 18, 1134 (1948) (in Russian).
A.H. Cotrell, B.A. Bilby. A mechanism for the growth of deformation twins in crystals. Phil. Mag. 42, 573 (1951).
https://doi.org/10.1080/14786445108561272
A.M. Kosevich, L.A. Pastur. On the dislocation model of twinning. Fiz. Tverd. Tela 3, 1291 (1961) (in Russian).
O. M. Ostrikov. Dislocation macroscopic model of a wedgeshaped twin. Vesti P.O. Sukhoi GGTU 2, 10 (2006) (in Russian).
O. M. Ostrikov. Account of the shape of the wedge-shaped twin boundaries in the macroscopic dislocation model. Fiz. Met. Metalloved. 106, 471 (2008) (in Russian).
https://doi.org/10.1134/S0031918X08110033
V.I. Bashmakov, M.E. Bosin, I.I. Papirov. Cyclic Bauschinger effect at the boundaries of mechanical beryllium twins. Fiz. Met. Metalloved. 35, 220 (1973) (in Russian).
V.I. Bashmakov, M.E. Bosin. Influence of forest dislocations on the Bauschinger effect at the twinning of zinc single crystals. Izv. Vyssh. Ucheb. Zaved. Fiz. 5, 101 (1971) (in Russian). https://doi.org/10.1007/BF00818945
M.E. Bosin, I.I. Papirov, N.G. Yakovenko. Investigation of twinning processes in beryllium and its alloys with copper. Izv. Vyssh. Ucheb. Zaved. Fiz. 4, 120 (1975) (in Russian).
V.I. Bashmakov, M.E. Bosin. Softening of twin boundaries in bismuth and zinc crystals under repeated loadings. Ukr. J. Phys. 15, 1036 (1971) (in Russian).
V.I. Bashmakov, M.E. Bosin. Properties of single twins in metal crystals under pulsating loadings. Fiz. Tverd. Tela 13, 2475 (1971) (in Russian).
V.I. Bashmakov, M.E. Bosin, F.F. Lavrentiev, I.I. Papirov. Doping effect on strain hardening of twin layers in bismuth and beryllium crystals under stress pulsations. Probl. Prochn. 1, 80 (1974) (in Russian). https://doi.org/10.1007/BF01528166
V.I. Bashmakov, M.E. Bosin, S.P. Shinkarenko. Dependence of the mobility of incoherent twin boundaries on the amplitude of pulsating stress. Ukr. J. Phys. 18, 1021 (1973) (in Ukrainian).
F.F. Lavrentev, M.E. Bosin. The peculiar effect of forest dislocations on single twin layer development in zinc and beryllium single crystals. Mater. Sci. Eng. 33, 243 (1978). https://doi.org/10.1016/0025-5416(78)90177-5
M.E. Bosin. Specific features of twin boundaries motion in beryllium single crystals at the twinning and untwining. Funct. Mater. 4, 557 (1997).
V.I. Bashmakov, M.E. Bosin, M.M. Brodskii. Boundary creeping of single twin layers in zinc crystals. Kristallografiya 19, 592 (1974) (in Russian).
M.E. Bosin, P.L. Pakhomov. On the mechanism of the influence of the density of forest dislocations on the mobility of twin boundaries in Zn crystals. Ukr. J. Phys. 27, 372 (1982) (in Russian).
V.N. Nikiforenko, M.E. Bosin, V.G. Korchakov, N.V. Korchakov. Mechanisms of the dislocation motion and interaction in the field of high-speed stresses. In: Proceedings of the 3rd International Conference "Physical Phenomena in Solids", Kharkiv, January 21-23, 1997. Edited by V.V. Ulyanov (1997), p. 144 (in Russian).
M.E. Bosin, F.F. Lavrentiev, V.N. Nikiforenko. Features of the motion of twin boundaries in beryllium single crystals under cyclic alternating loading. In: Proceedings of the 3rd International Conference "Physical Phenomena in Solids", Kharkiv, January 21-23, 1997. Edited by V.V. Ulyanov (1997), p. 193 (in Russian).
M.E. Bosin, F.F. Lavrentiev, V.N. Nikiforenko. Pair interation of dislocations and twin boundary motion in bismuth single crystals under alternating cyclic loading. Funct. Mater. 6, 60 (1999).
V.I. Bashmakov, M.E. Bosin, S.P. Shinkarenko. Single twins and brittle destruction of metal crystals. Probl. Prochn. 12, 44 (1973) (in Russian).
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