A crystal plasticity theory for latent hardening by glide twinning through dislocation transmutation and twin accommodation effects

Journal of the Mechanics and Physics of Solids

Volumn 58, Issue 4, 2010, Pages 613-624

  El Kadiri, H ^a   Oppedal, A L ^a  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

Crystal plasticity; Glide twinning; Model; Transmutation; Twin accommodation

Indexed keywords

CRYSTAL PLASTICITY; CRYSTAL PLASTICITY THEORY; CRYSTAL ROTATIONS; CURRENT MODELS; DEFORMATION TEXTURE; DISLOCATION DENSITIES; GLIDE TWINNING; GOVERNING EQUATIONS; HARD ORIENTATION; LATENT HARDENING; LATTICE STRUCTURES; SHAPE CHANGE; SLIP DISLOCATION; STRESS REVERSAL; TWIN INTERFACES;

CRYSTAL ORIENTATION; DISLOCATIONS (CRYSTALS); GRAIN BOUNDARIES; HARDENING; PLASTICITY; STRESS-STRAIN CURVES;

TWINNING;

EID: 77349093755     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2009.12.004     Document Type: Article

References (61)

1. Agnew S.R., and Duygulu Ö. Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B. Int. J. Plast. 21 6 (2005) 1161-1193
2. Basinski Z.S., Szczerba M.S., Niewczas M., Embury J.D., and Basinski S.J. The transformation of slip dislocations during twinning of copper-aluminium alloy crystals. Rev. Metall./Cah. Inf. Tech. 94 9 (1997) 1037-1043
3. Beyerlein I.J., and Tomé C.N. A dislocation-based constitutive law for pure Zr including temperature effects. Int. J. Plast. 24 5 (2008) 867-895
4. Bhattacharyya D., Cerreta E.K., McCabe R., Niewczas M., Gray G.T., Misra A., et al. Origin of dislocations within tensile and compressive twins in pure textured Zr. Acta Mater. 57 2 (2009) 305-315
5. Bilby B.A., and Christian J.W. The Mechanism of Phase Transformations in Metals (1956), Institute of Metals, London
6. Cáceres C.H., Lukáč P., and Blake A. Strain hardening due to { 1 0 over(1, -) 2 } twinning in pure magnesium. Philos. Mag. 88 7 (2008) 991-1003
7. Capolungo L., Beyerlein I.J., and Tomé C.N. Slip-assisted twin growth in hexagonal close-packed metals. Scr. Mater. 60 1 (2009) 32-35
8. Christian J.W., and Mahajan S. Deformation twinning. Prog. Mater Sci. 39 1-2 (1995) 1-157
9. Gilman J. Mechanism of ortho kink-band formation in compressed zinc monocrystals. Trans Met Soc AIME 200 (1954) 621-629
10. Holden J. Plastic deformation features on cleavage surfaces of metal crystals. Philos. Mag. (Series 7) 43 344 (1952) 976-984
11. Jain A., and Agnew S.R. Modeling the temperature dependent effect of twinning on the behavior of magnesium alloy AZ31B sheet. Mater. Sci. Eng. A 462 1-2 (2007) 29-36
12. Jaswon M.A., and Dove D.B. Twinning properties of lattice planes. Acta Cryst. 9 8 (1956) 621-626
13. Jaswon M.A., and Dove D.B. The prediction of twinning modes in metal crystals. Acta Cryst. 10 1 (1957) 14-18
14. Jaswon M.A., and Dove D.B. The crystallography of deformation twinning. Acta Cryst. 13 3 (1960) 232-240
15. Kalidindi S.R., Salem A.A., and Doherty R.D. Role of deformation twinning on strain hardening in cubic and hexagonal polycrystalline metals. Adv. Eng. Mater. 5 4 (2003) 229-232
16. Karaman I., Sehitoglu H., Beaudoin A., Chumlyakov Y., Maier H., and Tomé C. Modeling the deformation behavior of Hadfield steel single and polycrystals due to twinning and slip. Acta Mater. 48 9 (2000) 2031-2047
17. Kocks U.F. The relation between polycrystal deformation and single-crystal deformation. Metall. Trans. 1 (1970) 1121-1143
18. Lavrentev F., Salita O., and Sokolsky S. Effect of deformational and thermal annealing on the stability of dislocation structure in Zn crystals. Mater. Sci. Eng. 33 2 (1978) 199-205
19. Lavrentev, F.F., 1975. Deformatsionnoje uprochnenie i dinamika dislokatsii v geksagonalnykh plotno upakovannykh metallakh. Doctor's thesis, Fiziko-Tekhnicheskii Institut Nizkilch Temperatur, Akademiya Nauk Ukrainskoi SSR, Kharkov.
20. Lavrentev F.F., and Pokhil Y.A. Effect of forest dislocations in the { 1 1 over(2, -) 2 } 〈 1 1 over(2, -) 3 〉 system on hardening in mg single crystals under basal slip. Phys. Status Solidi A 32 1 (1975) 227-232
21. Lavrentev F.F., and Pokhil Y.A. Relation of dislocation density in different slip systems to work hardening parameters for magnesium crystals. Mater. Sci. Eng. 18 (1975) 261-270
22. Lavrentev F.F., and Vladimirova V.L. Role of dislocations in the plastic deformation of zinc single crystals. Fiz. Met. Metalloved. 29 1 (1970) 150-156
23. Lebensohn R.A., and Tomé C.N. A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys. Acta Metall. Mater. 41 9 (1993) 2611-2624
24. Madec R., Devincre B., and Kubin L.P. From dislocation junctions to forest hardening. Phys. Rev. Lett. 89 25 (2002) 255508-1-255508-4
25. Mahajan S. Twin-slip and twin-twin interactions in Mo-35 at.% Re alloy. Philos. Mag. 23 184 (1971) 781-794
26. Mahajan S. Fragmented twins in Mo-35 at.% Re alloy. Acta Metall. 23 (1975) 547-552
27. Mahajan S. Accommodation at deformation twins in BCC crystals. Metall. Mater. Trans. A 12 3 (1981) 379-386
28. Mahajan S., and Chin G.Y. Formation of deformation twins in FCC crystals. Acta Metall. 21 10 (1973) 1353-1363
29. Mahajan S., and Chin G.Y. Twin-slip, twin-twin and slip-twin interactions in Co-8 Fe alloy single crystals. Acta Metall. 21 2 (1973) 173-179
30. McCabe R., Proust G., Cerreta E., and Misra A. Quantitative analysis of deformation twinning in zirconium. Int. J. Plast. 25 (2009) 454-472
31. McCabe R.J., Cerreta E.K., Misra A., Kaschner G.C., and Tomé C.N. Effects of texture, temperature and strain on the deformation modes of zirconium. Philos. Mag. 86 23 (2006) 3595-3611
32. Mecking H., and Kocks U.F. Kinetics of flow and strain-hardening. Acta Metall. 29 11 (1981) 1865-1875
33. Michel J.P., and Champier G. Effect of the pyramidal dislocation forest on the basal slip of Zn at 198 K. Mem. Sci. Rev. Met. 72 2 (1975) 111-114
34. Michel, J.P., Champier, G., 1976. Effect of a forest of pyramidal dislocations on basal slip in Zn. In: 4th Int. Conf. Strength of Metals and Alloys. pp. 94-97.
35. Molinari A., Canova G.R., and Ahzi S. A self consistent approach of the large deformation polycrystal viscoplasticity. Acta Metall. 35 12 (1987) 2983-2994
36. Mori T., and Fujita H. Dislocation reactions during deformation twinning in Cu-11 at.% Al single crystals. Acta Metall. 28 6 (1980) 771-776
37. Niewczas M. Dislocations and twinning in face centered cubic crystals. In: Nabarro F.R.N., and Hirth J.P. (Eds). Dislocations in Solids (2007), Elsevier Science 263
38. Oppedal, A., El Kadiri, H., Ma, Q., Horstemeyer, M., 2009. Limitation of current hardening models in predicting hardening correlated to profuse twinning in hcp metals: Application to a rod-textured am 30 mg extruded alloy, in preparation.
39. Parisot R., Forest S., Pineau A., Grillon F., Demonet X., and Mataigne J. Deformation and damage mechanisms of zinc coatings on hot-dip galvanized sheets: Part i. deformation modes. Metall. Mater. Trans. A 35A (2004) 797-811
40. Partridge, P.G., Roberts, E., 1964. Slip and deformation twinning in magnesium. In: Third European Regional Conference on Electron Microscopy. Czechoslovak Academy of Sciences, pp. 213-214.
41. Pratt P.L., and Pugh S.F. Twin accommodation in zinc. J. Inst. Met. 80 (1952) 653-658
42. Proust G., Tomé C.N., Jain A., and Agnew S.R. Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31. Int. J. Plast. 25 5 (2009) 861-880
43. Proust G., Tomé C.N., and Kaschner G.C. Modeling texture, twinning and hardening evolution during deformation of hexagonal materials. Acta Mater. 55 6 (2007) 2137-2148
44. Rémy L. Twin-slip interaction in FCC crystals. Acta Metall. 25 6 (1977) 711-714
45. Rémy L. The interaction between slip and twinning systems and the influence of twinning on the mechanical behavior of FCC metals and alloys. Metall. Mater. Trans. A 12 3 (1981) 387-408
46. Robertson I.M. Microtwin formation in deformed nickel. Philos. Mag. A 54 6 (1986) 821-835
47. Rosenbaum H.S. Non-basal slip and twin accommodation in zinc crystals. Acta Metall. 9 8 (1961) 742-748
48. Rosenbaum H.S. Nonbasal slip in HCP metals and its relation to mechanical twinning. In: Reed-Hill R.E., Hirth J.P., and Rogers H.C. (Eds). Deformation Twinning (1964), Gordon and Breach Science Publishers, New York 43-76
49. Sachs G. Zur ableitung einer fliessbedingung. Z Ver Dtsch Ing 72 (1928) 734-736
50. Salem A.A., Kalidindi S.R., and Doherty R.D. Strain hardening of titanium: role of deformation twinning. Acta Mater. 51 14 (2003) 4225-4237
51. Saxl I. The incorporation of slip dislocations in twins. Czech. J. Phys. 18 (1968) 39-49
52. Serra A., and Bacon D.J. A new model for twin growth in HCP metals. Philos. Mag. A 73 2 (1996) 333-343
53. Sleeswyk A.W. Twinning and the origin of cleavage nuclei in α- iron. Acta Metall. 10 (1962) 803-812
54. Taylor G. Plastic strain in metals. J. Inst. Met. 62 (1938) 307-324
55. Tomé C.N., Lebensohn R.A., and Kocks U.F. A model for texture development dominated by deformation twinning: application to zirconium alloys. Acta Metall. Mater. 39 11 (1991) 2667-2680
56. Tomé C.N., Maudlin P.J., Lebensohn R.A., and Kaschner G.C. Mechanical response of zirconiumI. derivation of a polycrystal constitutive law and finite element analysis. Acta Mater. 49 15 (2001) 3085-3096
57. Tomsett D.I., and Bevis M. The incorporation of basal slip dislocations in twins in zinc crystals. Philos. Mag. 19 157 (1969) 129-140
58. Vladimirova V.L., and Lavrentev F.F. Interaction of primary dislocations with forest dislocations in Zn at 1.5 k. Fiz. Tverd. Tela 15 2 (1973) 549-551
59. Yoo M.H. Interaction of slip dislocations with twins in hcp metals. Trans Met Soc AIME 245 (1969) 2051-2060
60. Yoo M.H. Slip, twinning, and fracture in hexagonal close-packed metals. Metall. Mater. Trans. A 12 3 (1981) 409-418
61. Yoo M.H., and Wei C.T. Growth of deformation twins in zinc crystals. Philos. Mag. 14 129 (1966) 573-587