On twinning and shear banding in a Cu-8 at.% Al alloy plane strain compressed at 77 K. (English) Zbl 1272.74090
Summary: Crystal lattice rotations induced by twinning and shear banding developed in a Cu-8 at.% Al alloy (representative of fcc metals with low stacking fault energy) have been examined in order to investigate the influence of bands on slip propagation across a structure of twin-matrix layers and the resulting texture evolution. The microstructure and texture of \((1\,1\,2)\) \([1\,1\,\bar 1]\) oriented single crystal plane strain compressed up to \(\sim 80\)% 77 K were characterized by transmission electron microscopy (TEM) including TEM orientation mapping.
It is shown that the strong, initial texture changes are due to deformation twinning. Two families of deformation twins, symmetric with respect to the plane perpendicular to the extension direction, are observed. However, only one of them plays a dominant role in strain accommodation. At larger deformations, twin-matrix deflection within some narrow areas leads to kink-type bands, and this is crucial for understanding further texture transformations. The kink bands are precursors of shear bands (SB). It is shown by detailed TEM orientation mapping how the structure of twins and matrix is incorporated into a SB, and what kind of the dislocation mechanisms are responsible for strain accommodation at the macro-scale. It was found that the re-orientation of the main \((1\,1\,1)\) twinning planes towards the SB plane facilitates further dislocation slip in the shear direction. Finally, a crystallographic description of SB formation in completely twinned fcc metals is proposed based on lattice re-orientations due to localized kinking.
It is shown that the strong, initial texture changes are due to deformation twinning. Two families of deformation twins, symmetric with respect to the plane perpendicular to the extension direction, are observed. However, only one of them plays a dominant role in strain accommodation. At larger deformations, twin-matrix deflection within some narrow areas leads to kink-type bands, and this is crucial for understanding further texture transformations. The kink bands are precursors of shear bands (SB). It is shown by detailed TEM orientation mapping how the structure of twins and matrix is incorporated into a SB, and what kind of the dislocation mechanisms are responsible for strain accommodation at the macro-scale. It was found that the re-orientation of the main \((1\,1\,1)\) twinning planes towards the SB plane facilitates further dislocation slip in the shear direction. Finally, a crystallographic description of SB formation in completely twinned fcc metals is proposed based on lattice re-orientations due to localized kinking.
MSC:
| 74C99 | Plastic materials, materials of stress-rate and internal-variable type |
Keywords:
shear bands; deformation twinning; texture; copper-aluminium alloy; TEM orientation mappingReferences:
| [1] | Anand, L.; Spitzig, W. A.: Initiation of locallized shear bands in plane tension test, Journal of mechanics and physics of solids 28, 113-125 (1980) |
| [2] | Asaro, R. J.; Rice, J. R.: Strain localization in ductile single crystals, Journal of mechanics and physics of solids 25, 309-321 (1977) · Zbl 0375.73097 · doi:10.1016/0022-5096(77)90001-1 |
| [3] | Batra, R. C.; Wei, Z. G.: Shear band due to heat flux predicted at boundaries, International journal of plasticity 22, 1-15 (2006) · Zbl 1087.74016 · doi:10.1016/j.ijplas.2005.01.003 |
| [4] | Beyerlein, I. J.; Tomé, C. N.: A dislocation-based constitutive law for pure zr including temperature effects, International journal of plasticity 24, 867-895 (2008) · Zbl 1144.74313 · doi:10.1016/j.ijplas.2007.07.017 |
| [5] | Blicharski, M.; Gorczyca, S.: Structural inhomogeneity of deformed austenitic stainless steel, Metals science 12, 303-312 (1978) |
| [6] | Canova, G. R.; Fressengeas, C.; Molinari, A.; Kocks, U. F.: Effect of rate sensitivity on slip system activity and lattice rotation, Acta metallurgica 36, 1961-1970 (1988) |
| [7] | Cazacu, O.; Plunkertt, B.; Barlat, F.: Orthotropic yield criterion for hexagonal closed packet metals, International journal of plasticity 22, 1171-1194 (2006) · Zbl 1090.74015 · doi:10.1016/j.ijplas.2005.06.001 |
| [8] | Charalambakis, N.; Baxevanis, T.: Adiabatic shearing of non-homogeneous thermoviscoplastic materials, International journal of plasticity 20, 899-914 (2004) · Zbl 1254.74032 |
| [9] | Chatzigeorgiu, G.; Charalambakis, N.: Instability analysis of non-homogeneous materials under biaxial loading, International journal of plasticity 21, 1970-1999 (2005) · Zbl 1154.74304 · doi:10.1016/j.ijplas.2005.01.002 |
| [10] | Da Costa Viana, C.S., Parades, J.C., Pinto, A.L., Lopez, A.M., 1999. In: Szpunar, J. (Ed.), Proceeding of the 12th International Conference on Textures of Materials, EBSD Analysis of Shear Banding in \alpha -Brass, Transaction Technical Publication Toronto, Canada, pp. 671 – 676. |
| [11] | Dillamore, I. L.; Roberts, J. G.; Bush, A. C.: Occurrence of shear bands in early rolled cubic metals, Metal science 13, 73-75 (1979) |
| [12] | Donadille, C.; Valle, R.; Dervin, P.; Penelle, R.: Development of texture and microstructure during cold-rolling and annealing of fcc alloys: example of an austenitic stainless steel, Acta metallurgica 32, 1547-1571 (1989) |
| [13] | Dorner, D.; Adachi, Y.; Tsuzaki, K.: Periodic crystal lattice rotation in microband groups in a bcc metal, Scripta materialia 57, 775-778 (2007) |
| [14] | Dorner, D.; Zaefferer, S.; Raabe, D.: Retention of the goss orientation between microbands during cold rolling of a fe – 3%Si single crystal, Acta materialia 55, 2519-2530 (2007) |
| [15] | Duggan, B. J.; Hatherly, M.; Hutchinson, W. B.; Wakefield, P. T.: Deformation structures and textures in cold-rolled 70:30 brass, Metals science 12, 343-351 (1978) |
| [16] | El-Danaf, E.; Kalidindi, S. R.; Doherty, R. D.; Necker, C.: Deformation texture transition in brass: critical role of micro-scale shear bands, Acta materialia 48, 2665-2673 (2000) |
| [17] | Fargette, B.; Whitwham, D.: Deformation plastique du laiton cuzn30 au cours de déformations élevées par laminage, Memoires science revue de metallurgie 73, 197-206 (1976) |
| [18] | Graff, S.; Brocks, W.; Steglich, D.: Yielding of magnesium: from single crystal to polycrystalline aggregates, International journal of plasticity 23, 1957-1978 (2007) · Zbl 1129.74011 · doi:10.1016/j.ijplas.2007.07.009 |
| [19] | Grewen, J.; Noda, T.; Sauer, D. Z.: Elektronenmikroskopische untersuchungen an scherbändern, Zeitschrift für metalkunde 68, 260-265 (1977) |
| [20] | Harami, T.; Hutchinson, W. B.; Dillamore, I. L.; Bate, P.: Contribution of shear banding to origin of goss texture in silicon iron, Metal science 18, 57-65 (1984) |
| [21] | Hill, R.: Acceleration waves in solids, Journal of the mechanics and physics of solids 10, 1-29 (1962) · Zbl 0111.37701 · doi:10.1016/0022-5096(62)90024-8 |
| [22] | Hirsch, J.: Correlation of deformation texture and microstucture, Material science and technology 6, 1048-1057 (1990) |
| [23] | Hirsch, J.; Lücke, K.: Mechanism of deformation and development of rolling texture in polycrystalline fcc metals, Acta metallurgica 36, 2863-2882 (1988) |
| [24] | Hirsch, J.; Lücke, K.; Hatherly, M.: Mechanism of deformation and development of rolling textures in polycrystalline fcc metals — III. The influence of slip inhomogeneities and twinning, Acta metallurgica 36, 2905-2927 (1988) |
| [25] | Huot, A.; Schwarzer, R. A.; Driver, J. H.: Texture of shear bands in al – mg3% (AA5182) measured by BKD, Materials science forum 273 – 275, 319-326 (1998) |
| [26] | Inagaki, H.; Koizumi, M.; Chang, C. S. T.; Duggan, B. J.: Orientation imaging microscopy of the shear bands formed in al – 5%Mg alloys during cold rolling, Materials science forum 396 – 4, 587-592 (2002) |
| [27] | Kalidindi, S. R.: Modelling the strain hardening response of low SFE fcc alloys, International journal of plasticity 14, 1265-1277 (1998) · Zbl 1056.74520 · doi:10.1016/S0749-6419(98)00054-0 |
| [28] | Kamijo, T.; Sekine, K.: On the mechanism of texture transition in fcc metals, Metallurgical transactions A 1, 1287-1292 (1970) |
| [29] | Kocks, U. F.; Tome, C. N.; Wenk, H. R.: Texture and anisotropy: preferred orientations and their effect on materials properties, (1998) · Zbl 0916.73001 |
| [30] | Korbel, A.; Embury, J. D.; Hatherly, M.; Martin, P.: Microstructual aspect of strain localization in al – mg alloys, Acta metallurgica 34, 1999-2009 (1986) |
| [31] | Korbel, A.; Martin, P.: Microscopic versus macroscopic aspect of shear bands deformation, Acta metalialia 34, 1905-1909 (1986) |
| [32] | Köhlhoff, G. D.; Malin, A. S.; Lücke, K.; Hatherly, M.: Microstructure and texture of rolled {112}\(\langle 111\rangle \) copper single crystals, Acta metallurgica 36, 2841-2847 (1988) |
| [33] | Kuroda, M.; Tvergaard, V.: A phenomenological plasticity model with non-normality effects representing observations in crystal plasticity, Journal of mechanics and physics of solids 49, 1239-1263 (2001) · Zbl 1052.74011 · doi:10.1016/S0022-5096(00)00080-6 |
| [34] | Kuroda, M.; Tvergaard, V.: Effects of texture on shear band formation in plane strain tension/compression and bending, International journal of plasticity 23, 244-272 (2007) · Zbl 1127.74317 · doi:10.1016/j.ijplas.2006.03.014 |
| [35] | Lee, C. S.; Duggan, B. J.: Deformation banding and copper-type rolling texture, Acta metallalurgica et materialia 41, 2691-2699 (1993) |
| [36] | Lee, C. S.; Duggan, B. J.: Modified theory of rolling texture development in \(\alpha \) brass, Materials science and technology 10, 155-161 (1994) |
| [37] | Leffers, T.; Bilde-Sorensen, J. B.: Intra- and intergranular heterogenites in the plastic deformation of brass during rolling, Acta metallurgica et materialia 38, 1917-1926 (1990) |
| [38] | Leffers, T.; Van Houtte, P.: Calculated and experimental orientation distribution of twin lamellae in rolled brass, Acta metallurgica 37, 1191-1198 (1989) |
| [39] | Lou, X. Y.; Li, M.; Boger, R. K.; Agnew, S. R.; Wagoner, R. H.: Hardening evolution of AZ31B mg sheet, International journal of plasticity 23, 44-86 (2007) · Zbl 1331.74007 |
| [40] | Mahesh, S.; Tome, C. N.: Deformation banding model under arbitrary monotomic loading in cube metals, Philosophical magazine 84, 3517-3546 (2004) |
| [41] | Malin, A. S.; Hatherly, M.: Microstructure of cold-rolled copper, Metals science 13, 463-472 (1979) |
| [42] | Morawiec, A.: Automatic orientation determination from kikuchi patterns, Journal of applied crystallography 32, 788-798 (1999) |
| [43] | Morawiec, A.; Fundenberger, J. J.; Bouzy, E.; Lecomte, J. S.: EP – a program for deformation of crystallite orientations from TEM kikuchi and CBED diffraction patterns, Journal of applied crystallography 35, 287 (2002) |
| [44] | Morii, K.; Nakayama, Y.: Shear bands in rolled copper single crystals, Transactions of the Japan institute 22, 857-864 (1981) |
| [45] | Morii, K.; Mecking, H.; Nakayama, Y.: Development of shear bands in fcc single crystals, Acta metallurgica 33, 379-386 (1985) |
| [46] | Nakayama, Y.; Morii, K.: Transmission electron microscopy of shear band formation in rolled copper single crystals, Transactions of the Japan institute 23, 422-431 (1982) |
| [47] | Ortiz, M.; Repetto, E. A.: A continuum model of kinetic roughening and coarsening in thin films, Journal of mechanics and physics of solids 47, 630-697 (1999) · Zbl 0962.76009 · doi:10.1016/S0022-5096(98)00102-1 |
| [48] | Paul, H.; Driver, J. H.; Jasieński, Z.: Shear banding and recrystallization nucleation in a cu – 2%Al alloy single crystal, Acta materialia 50, 815-830 (2002) |
| [49] | Paul, H.; Driver, J. H.; Maurice, C.; Jasieński, Z.: Crystallographic aspects of the early stages of recrystallization in brass-type shear bands, Acta materialia 50, 4339-4355 (2002) |
| [50] | Paul, H.; Driver, J. H.; Maurice, C.; Jasieński, Z.: Shear band microtexture formation in twinned face centred cubic single crystals, Materials science and engineering 359, 178-191 (2003) |
| [51] | Paul, H.; Driver, J. H.; Maurice, C.; Pi&aogon, A.; Tkowski: The role of shear banding on deformation texture in low stacking fault energy metals as characterized on model silver single crystals, Acta materialia 55, 575-588 (2007) |
| [52] | Paul, H.; Morawiec, A.; Bouzy, E.; Funderberger, J. J.; Pi&aogon, A.; Tkowski: Brass-type shear bands and their influence on texture formation, Metallurgical and materials transaction A 35, 3775-3786 (2004) |
| [53] | Rudnicki, R. W.; Rice, J. R.: Conditions for localization of deformation in pressure-sensitive dilatant materials, Journal of mechanics and physics of solids 23, 371-394 (1975) |
| [54] | Shiekhelsouk, M. N.; Favier, V.; Inal, K.; Cherkaoui, M.: Modelling the behaviour of polycrystalline austenitic steel with twinning-induced plasticity effect, International journal of plasticity 25, 105-133 (2009) · Zbl 1155.74010 · doi:10.1016/j.ijplas.2007.11.004 |
| [55] | Van Houtte, P.; Li, S.; Seefeldt, M.; Delannay, L.: Deformation texture prediction: from the Taylor model to the advanced lamel model, International journal of plasticity 21, 589-624 (2005) · Zbl 1154.74320 · doi:10.1016/j.ijplas.2004.04.011 |
| [56] | Van Houtte, P.; Sevillano, J. G.; Aernoudt, E.: Models for shear band formation in rolling and extrusion, Zeitschrift für metallkunde 70, 426-432 (1979) |
| [57] | Wagner, P.; Engler, O.; Lücke, K.: Formation of cu-type shear bands and their influence on deformation and texture of rolled fcc {112}\((111)\) single crystals, Acta metallurgica et materialia 43, 3799-3812 (1995) |
| [58] | Wassermann, G. Z.: Der einflu\(\beta \) mechanischer zwillingsbildung auf die entstehung der walztexturen kubisch flächenzentrierter metalle, Zeitschrift für metallkunde 54, 61-65 (1963) |
| [59] | Weidner, A.; Klimanek, P.: Shear banding and texture development in cold-rolled \(\alpha \)-brass, Scripta materialia 38, 851-856 (1998) |
| [60] | Yeung, W. Y.; Duggan, B. J.: Flow localization in cold-rolled \(\alpha \)-brass, Materials science and technology 2, 552-558 (1986) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
