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Modeling of grain boundary transmission, emission, absorption and overall crystalline behavior in Σ1, Σ3, and Σ17b bicrystals

Published online by Cambridge University Press:  26 July 2011

Jibin Shi  and
Mohammed A. Zikry
Jibin Shi
Affiliation:
Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910
Mohammed A. Zikry*
Affiliation:
Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

A dislocation-density grain–boundary (GB) interaction scheme for face-centered cubic bicrystals with three coincident site lattice boundaries was developed to account for the interrelated dislocation-density interactions of GB emission, absorption, and transmission. The proposed GB scheme was coupled to a dislocation-density multiple-slip crystalline plasticity formulation and specialized finite-element algorithms to account for behavior on the microstructural scale. A conservation law for dislocation densities was also used to balance dislocation-density absorption, transmission, and emission within the GB region. The predictions indicated that GB absorption increases are due to increases in immobile dislocation densities in high-angle GBs without coplanar slip planes and collinear slip directions, such as Σ17b. Low-angle GBs with coplanar slip planes and collinear slip directions are characterized by high transmission rates and insignificant GB dislocation-density accumulations. GB processes such as emission, absorption, and transmission are directly related to microstructural behavior and can be potentially controlled for desired material response.

Keywords

DislocationsGrain boundariesFracture
Type
Articles
Information
Journal of Materials Research , Volume 26 , Issue 14 , 28 July 2011 , pp. 1676 - 1687
Copyright
Copyright © Materials Research Society 2011

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References

REFERENCES

1.Gemperle, A., Gemperlova, J., and Zarubova, N.: Refined prediction and observation of dislocation structures in low sigma symmetric grain boundaries. Interface Sci. 10, 59 (2002).CrossRefGoogle Scholar
2.Clark, W.A.T., Wagoner, R.H., Shen, Z.Y., Lee, T.C., Robertson, I.M., and Birnbaum, H.K.: On the criteria for slip transmission across interfaces in polycrystals. Scr. Metall. Mater. 26, 203 (1992).CrossRefGoogle Scholar
3.Lee, T.C., Robertson, I.M., and Birnbaum, H.K.: An in-situ transmission electron-microscope deformation study of the slip transfer mechanisms in metals. Metall. Trans. A 21, 2437 (1990).CrossRefGoogle Scholar
4.Livingston, J.D. and Chalmers, B.: Multiple slip in bicrystal deformation. Acta Metall. 5, 322 (1957).CrossRefGoogle Scholar
5.Shen, Z., Wagoner, R.H., and Clark, W.A.T.: Dislocation pile up and grain-boundary interactions in 304 stainless-steel. Scr. Metall. 20, 921 (1986).CrossRefGoogle Scholar
6.Lagow, B.W., Robertson, I.M., Jouiad, M., Lassila, D.H., Lee, T.C., and Birnbaum, H.K.: Observation of dislocation dynamics in the electron microscope. Mater. Sci. Eng., A 309, 445 (2001).CrossRefGoogle Scholar
7.Lee, T.C., Robertson, I.M., and Birnbaum, H.K.: Tem in-situ deformation study of the interaction of lattice dislocations with grain-boundaries in metals. Philos. Mag. A 62, 131 (1990).CrossRefGoogle Scholar
8.Gemperlova, J., Polcarova, M., Gemperle, A., and Zarubova, N.: Slip transfer across grain boundaries in Fe-Si bicrystals. J. Alloy. Compd. 378, 97 (2004).CrossRefGoogle Scholar
9.Gemperlova, J., Jacques, A., Gemperle, A., Vystavel, T., Zarubova, N., and Janecek, M.: In-situ transmission electron microscopy observation of slip propagation in sigma 3 bicrystals. Mater. Sci. Eng., A 324, 83 (2002).CrossRefGoogle Scholar
10.Schiotz, J.: Atomic-scale modeling of plastic deformation of nanocrystalline copper. Scr. Mater. 51, 837 (2004).CrossRefGoogle Scholar
11.Van Swygenhoven, H., Derlet, P.M., and Froseth, A.G.: Nucleation and propagation of dislocations in nanocrystalline fcc metals. Acta Mater. 54, 1975 (2006).CrossRefGoogle Scholar
12.Yamakov, V., Wolf, D., Phillpot, S.R., and Gleiter, H.: Dislocation-dislocation and dislocation-twin reactions in nanocrystalline Al by molecular dynamics simulation. Acta Mater. 51, 4135 (2003).CrossRefGoogle Scholar
13.Ashmawi, W.M. and Zikry, M.A.: Grain boundary effects and void porosity evolution. Mech. Mater. 35, 537 (2003).CrossRefGoogle Scholar
14.Dewald, M.P. and Curtin, W.A.: Multiscale modelling of dislocation/grain-boundary interactions: I. Edge dislocations impinging on sigma 11(113) tilt boundary in al. Modell. Simul. Mater. Sci. Eng. 15, S193 (2007).CrossRefGoogle Scholar
15.De Koning, M., Miller, R., Bulatov, V.V., and Abraham, F.F.: Modelling grain-boundary resistance in intergranular dislocation slip transmission. Philos. Mag. A 82, 2511 (2002).CrossRefGoogle Scholar
16.De Koning, M., Kurtz, R.J., Bulatov, V.V., Henager, C.H., Hoagland, R.G., Cai, W., and Nomura, M.: Modeling of dislocation-grain boundary interactions in fcc metals. J. Nucl. Mater. 323, 281 (2003).CrossRefGoogle Scholar
17.Garbacz, A. and Grabski, M.W.: The relationship between texture and CSL boundaries distribution in polycrystalline materials: 1. The grain-boundary misorientation distribution in random polycrystal. Acta Metall. Mater. 41, 469 (1993).CrossRefGoogle Scholar
18.Garbacz, A. and Grabski, M.W.: The relationship between texture and CSL boundaries distribution in polycrystalline materials: 2. Analysis of the relationship between texture and coincidence grain-boundary distribution. Acta Metall. Mater. 41, 475 (1993).CrossRefGoogle Scholar
19.Randle, V.: Electron microscopy in materials science series. (Institute of Physics Publishing, Swansea, UK, 1993) p. 170.Google Scholar
20.Zhang, Z.F., Wang, Z.G., and Eckert, J.: What types of grain boundaries can be passed through by persistent slip bands? J. Mater. Res. 18, 1031 (2003).CrossRefGoogle Scholar
21.Lin, H. and Pope, D.P.: The influence of grain-boundary geometry on intergranular crack-propagation in Ni3Al. Acta Metall. Mater. 41, 553 (1993).CrossRefGoogle Scholar
22.Ohmura, T., Minor, A.M., Stach, E.A., and Morris, J.W.: Dislocation-grain boundary interactions in martensitic steel observed through in situ nanoindentation in a transmission electron microscope. J. Mater. Res. 19, 3626 (2004).CrossRefGoogle Scholar
23.Couzinie, J.P., Decamps, B., and Priester, L.: On the interactions between dislocations and a near-Σ=3 grain boundary in a low stacking-fault energy metal. Philos. Mag. Lett. 83, 721 (2003).CrossRefGoogle Scholar
24.Couzinie, J.P., Decamps, B., and Priester, L.: Interaction of dissociated lattice dislocations with a Σ=3 grain boundary in copper. Int. J. Plast. 21, 759 (2005).CrossRefGoogle Scholar
25.Lucadamo, G. and Medlin, D.L.: Dislocation emission at junctions between Σ=3 grain boundaries in gold thin films. Acta Mater. 50, 3045 (2002).CrossRefGoogle Scholar
26.Poulat, S., Decamps, B., and Priester, L.: Weak-beam transmission-electron-microscopy study of dislocation accommodation processes in nickel Σ-3 grain boundaries. Philos. Mag. A. 77, 1381 (1998).CrossRefGoogle Scholar
27.Tanaka, T., Tsurekawa, S., Nakashima, H., and Yoshinaga, H.: Misorientation dependence of fracture-stress and grain-boundary energy in molybdenum with [110] symmetrical tilt-boundaries. J. Jpn. Inst. Met. 58, 382 (1994).CrossRefGoogle Scholar
28.Qiao, Y. and Argon, A.S.: Cleavage crack-growth-resistance of grain boundaries in polycrystalline Fe-2%Si alloy: Experiments and modeling. Mech. Mater. 35, 129 (2003).CrossRefGoogle Scholar
29.Spearot, D.E., Jacob, K.I., and Mcdowell, D.L.: Dislocation nucleation from bicrystal interfaces with dissociated structure. Int. J. Plast. 23, 143 (2007).CrossRefGoogle Scholar
30.Lin, H. and Pope, D.P.: Weak grain-boundaries in Ni3Al. Mater. Sci. Eng., A 193, 394 (1995).CrossRefGoogle Scholar
31.Su, J.Q., Demura, M., and Hirano, T.: Grain-boundary fracture strength in Ni3Al bicrystals. Philos. Mag. A 82, 1541 (2002).Google Scholar
32.Zikry, M.A. and Kao, M.: Inelastic microstructural failure mechanisms in crystalline materials with high angle grain boundaries. J. Mech. Phys. Solids 44, 1765 (1996).CrossRefGoogle Scholar
33.Kameda, T., Zikry, M.A., and Rajendran, A.M.: Modeling of grain-boundary effects and intergranular and transgranular failure in polycrystalline intermetallics. Metall. Mater. Trans. A 37A, 2107 (2006).CrossRefGoogle Scholar
34.Shi, J. and Zikry, M.A.: Grain-boundary interactions and orientation effects on crack behavior in polycrystalline aggregates. Int. J. Solids Struct. 46, 3914 (2009).CrossRefGoogle Scholar
35.Zikry, M.A. and Kao, M.: Large-scale crystal plasticity computations of microstructural failure modes. Comput. Syst. Eng. 6, 225 (1995).CrossRefGoogle Scholar
36.Aifantis, E.C.: The physics of plastic-deformation. Int. J. Plast. 3, 211 (1987).CrossRefGoogle Scholar
37.Shi, J. and Zikry, M.A.: Grain size, grain boundary sliding, and grain boundary interaction effects on nanocrystalline behavior. Mater. Sci. Eng., A. 520, 121 (2009).CrossRefGoogle Scholar
38.Zikry, M.A.: An accurate and stable algorithm for high strain-rate finite strain plasticity. Comput. Struct. 50, 337 (1994).CrossRefGoogle Scholar
39.Mughrabi, H.: A 2-parameter description of heterogeneous dislocation distributions in deformed metal crystals. Mater. Sci. Eng. 85, 15 (1987).CrossRefGoogle Scholar
40.Zikry, M.A. and Kao, M.: Dislocation based multiple-slip crystalline constitutive formulation for finite-strain plasticity. Scr. Mater. 34, 1115 (1996).CrossRefGoogle Scholar
41.Lee, T.C., Subramanian, R., Robertson, I.M., and Birnbaum, H.K.: Dislocation-grain boundary interactions in Ni3Al—effects of structure and chemistry. Scr. Metall. Mater. 25, 1265 (1991).CrossRefGoogle Scholar
42.Zhong, Y., Xiao, F., Zhang, J.W., Shan, Y.Y., Wang, W., and Yang, K.: In situ TEM study of the effect of M/A films at grain boundaries on crack propagation in an ultra-fine acicular ferrite pipeline steel. Acta Mater. 54, 435 (2006).CrossRefGoogle Scholar
43.Zhang, Z.F. and Wang, Z.G.: Grain boundary effects on cyclic deformation and fatigue damage. Prog. Mater. Sci. 53, 1027 (2008).CrossRefGoogle Scholar
44.Robertson, I.M., Lee, T.C., and Birnbaum, H.K.: Application of the in situ TEM deformation technique to observe how clean and doped grain-boundaries respond to local stress-concentrations, in 11th Workshop on the Structure and Properties of Interfaces, Wickenburg, AZ (1991), pp. 330–338.Google Scholar
45.Medlin, D.L., Foiles, S.M., and Cohen, D.: A dislocation-based description of grain boundary dissociation: Application to a 90° < 110 > tilt boundary in gold. Acta Mater. 49, 3689 (2001).CrossRefGoogle Scholar
46.Gemperlova, J., Jacques, A., Gemperle, A., and Zarubova, N.: Transformation of slip dislocations in Σ 3 grain boundary. Interface Sci. 10, 51 (2002).CrossRefGoogle Scholar
47.Schmidt, C., Finnis, M.W., Ernst, F., and Vitek, V.: Theoretical and experimental investigations of structures and energies of Σ-3, [112] tilt grain boundaries in copper. Philos. Mag. A 77, 1161 (1998).CrossRefGoogle Scholar
48.Van Swygenhoven, H., Farkas, D., and Caro, A.: Grain-boundary structures in polycrystalline metals at the nanoscale. Phys. Rev. B 62, 831 (2000).CrossRefGoogle Scholar
49.Ohmura, T., Minor, A., Tsuzaki, K., and Morris, J.W.: Indentation-induced deformation behavior in martensitic steel observed through in-situ nanoindentation in a transmission electron microscopy, in 3rd International Conference on Nanomaterials by Severe Plastic Deformation, Fukuoka, Japan (2005), pp. 239–244.Google Scholar