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Erschienen in: Acta Mechanica 8/2019

09.05.2019 | Original Paper

Dislocation emission from a cylindrical circular void separating two disclination dipoles in a high-angle grain boundary

verfasst von: Jérôme Colin

Erschienen in: Acta Mechanica | Ausgabe 8/2019

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Abstract

The formation of an edge dislocation from the surface of a cylindrical circular cavity lying in a high-angle grain boundary and separating two disclination dipoles located in the boundary has been investigated from a theoretical point of view. The energy variation due to the dislocation introduction into one grain has been determined, and the equilibrium positions (stable or unstable) of the emitted dislocation have been characterized as a function of the direction of the Burgers vector, the strength and length of the disclination dipoles.
Literatur
1.
Zurück zum Zitat Jain, M., Christman, T.: Synthesis, processing, and deformation of bulk nanophase Fe–28Al–2Cr intermetallic. Acta Metall. Mater. 42, 1901–1911 (1994)CrossRef Jain, M., Christman, T.: Synthesis, processing, and deformation of bulk nanophase Fe–28Al–2Cr intermetallic. Acta Metall. Mater. 42, 1901–1911 (1994)CrossRef
2.
Zurück zum Zitat Sutton, A.P., Balluffi, R.W.: Interfaces in Crystalline Materials. Clarendon Press, Oxford (1995) Sutton, A.P., Balluffi, R.W.: Interfaces in Crystalline Materials. Clarendon Press, Oxford (1995)
3.
Zurück zum Zitat Zelin, M.G., Mukherjee, A.K.: Cooperative phenomena at grain boundaries during superplastic flow. Acta Metall. Mater. 43, 2359–2372 (1995)CrossRef Zelin, M.G., Mukherjee, A.K.: Cooperative phenomena at grain boundaries during superplastic flow. Acta Metall. Mater. 43, 2359–2372 (1995)CrossRef
4.
Zurück zum Zitat Li, Z., Yang, F.: Grain rotations during uniaxial deformation of gradient nano-grained metals using crystal plasticity finite element simulations. Extr. Mech. Lett. 16, 41–48 (2017)CrossRef Li, Z., Yang, F.: Grain rotations during uniaxial deformation of gradient nano-grained metals using crystal plasticity finite element simulations. Extr. Mech. Lett. 16, 41–48 (2017)CrossRef
5.
Zurück zum Zitat Bobylev, S.V., Ovid’ko, I.A.: Stress-driven migration, convergence and splitting transformations of grain boundaries in nanomaterials. Acta Mater. 124, 333–342 (2017)CrossRef Bobylev, S.V., Ovid’ko, I.A.: Stress-driven migration, convergence and splitting transformations of grain boundaries in nanomaterials. Acta Mater. 124, 333–342 (2017)CrossRef
6.
Zurück zum Zitat Ovid’ko, I.A., Sheinerman, A.G.: Grain boundary sliding, triple junction disclinations and strain hardening in ultrafine-grained and nanocrystalline metals. Int. J. Plast. 96, 227–241 (2017)CrossRef Ovid’ko, I.A., Sheinerman, A.G.: Grain boundary sliding, triple junction disclinations and strain hardening in ultrafine-grained and nanocrystalline metals. Int. J. Plast. 96, 227–241 (2017)CrossRef
7.
Zurück zum Zitat Miyazawa, N., Yamaoka, T., Hakamada, M., Mabuchi, M.: Atomistic study of inelastic deformation in aluminum grain boundary fractures. Philos. Mag. Lett. 97, 476–485 (2017)CrossRef Miyazawa, N., Yamaoka, T., Hakamada, M., Mabuchi, M.: Atomistic study of inelastic deformation in aluminum grain boundary fractures. Philos. Mag. Lett. 97, 476–485 (2017)CrossRef
8.
Zurück zum Zitat Quinn, D., Connolly, P., Howe, M., McHugh, P.: Simulation of void growth in WC-Co hardmetals using crystal plasticity theory. Int. J. Mech. Sci. 39, 173–183 (1995)CrossRefMATH Quinn, D., Connolly, P., Howe, M., McHugh, P.: Simulation of void growth in WC-Co hardmetals using crystal plasticity theory. Int. J. Mech. Sci. 39, 173–183 (1995)CrossRefMATH
9.
Zurück zum Zitat Segurado, J., Llorca, J.: Discrete dislocation dynamics analysis of the effect of lattice orientation on void growth in single crystals. Int. J. Plast. 26, 806–819 (2010)CrossRefMATH Segurado, J., Llorca, J.: Discrete dislocation dynamics analysis of the effect of lattice orientation on void growth in single crystals. Int. J. Plast. 26, 806–819 (2010)CrossRefMATH
10.
Zurück zum Zitat Potirniche, G.P., Hearndon, J.L., Horstemeyer, M.F., Ling, X.W.: Lattice orientation effects on void growth and coalescence in fcc single crystals. Int. J. Plast. 22, 921–942 (2006)CrossRefMATH Potirniche, G.P., Hearndon, J.L., Horstemeyer, M.F., Ling, X.W.: Lattice orientation effects on void growth and coalescence in fcc single crystals. Int. J. Plast. 22, 921–942 (2006)CrossRefMATH
11.
Zurück zum Zitat Liu, B., Zhang, X.M., Tang, J.G., Du, Y.X.: Simulation of void growth and coalescence behavior with 3D crystal plasticity theory. Comput. Mater. Sci. 40, 130–139 (2007)CrossRef Liu, B., Zhang, X.M., Tang, J.G., Du, Y.X.: Simulation of void growth and coalescence behavior with 3D crystal plasticity theory. Comput. Mater. Sci. 40, 130–139 (2007)CrossRef
12.
Zurück zum Zitat Lu, K., Lu, L., Suresh, S.: Strengthening materials by engineering coherent internal boundaries at the nanoscale. Science 324, 349–352 (2009)CrossRef Lu, K., Lu, L., Suresh, S.: Strengthening materials by engineering coherent internal boundaries at the nanoscale. Science 324, 349–352 (2009)CrossRef
13.
Zurück zum Zitat Song, H.Y., Sun, Y.: Effect of coherent twin boundary and stacking fault on deformation behaviors of copper nanowires. Comput. Mater. Sci. 104, 46–51 (2015)CrossRef Song, H.Y., Sun, Y.: Effect of coherent twin boundary and stacking fault on deformation behaviors of copper nanowires. Comput. Mater. Sci. 104, 46–51 (2015)CrossRef
14.
Zurück zum Zitat Lubarda, V.A.: Image force on a straight dislocation emitted from a cylindrical void. Int. J. Solids Struct. 48, 648–660 (2011)CrossRefMATH Lubarda, V.A.: Image force on a straight dislocation emitted from a cylindrical void. Int. J. Solids Struct. 48, 648–660 (2011)CrossRefMATH
15.
Zurück zum Zitat Lubarda, V.A.: Emission of dislocations from nanovoids under combined loading. Int. J. Plast. 27, 181–200 (2011)CrossRef Lubarda, V.A.: Emission of dislocations from nanovoids under combined loading. Int. J. Plast. 27, 181–200 (2011)CrossRef
16.
Zurück zum Zitat Ding, J., Zhao, H.-N., Wang, L.-S., Huang, X., Wang, J., Song, K., Lu, S.-Q., Zeng, X.-G.: Influence of loading directions on dislocation slip mechanism of nanotwinned Ni with void defect at the twin boundary. Comp. Mater. Sci. 152, 1–11 (2018)CrossRef Ding, J., Zhao, H.-N., Wang, L.-S., Huang, X., Wang, J., Song, K., Lu, S.-Q., Zeng, X.-G.: Influence of loading directions on dislocation slip mechanism of nanotwinned Ni with void defect at the twin boundary. Comp. Mater. Sci. 152, 1–11 (2018)CrossRef
17.
Zurück zum Zitat Husser, E., Soyarslan, C., Bargmann, S.: Size affected dislocation activity in crystals: advanced surface and grain boundary conditions. Extreme Mech. Lett. 13, 36–41 (2017)CrossRef Husser, E., Soyarslan, C., Bargmann, S.: Size affected dislocation activity in crystals: advanced surface and grain boundary conditions. Extreme Mech. Lett. 13, 36–41 (2017)CrossRef
18.
Zurück zum Zitat Liu, Y.W., Fang, Q.H., Jiang, C.P.: A wedge disclination dipole interacting with a circular inclusion. Phys. Status Solidi A 203(3), 443–458 (2006)CrossRef Liu, Y.W., Fang, Q.H., Jiang, C.P.: A wedge disclination dipole interacting with a circular inclusion. Phys. Status Solidi A 203(3), 443–458 (2006)CrossRef
19.
Zurück zum Zitat Song, H.P., Fang, Q.H., Liu, Y.W.: The solution of a wedge disclination dipole interacting with an annular inclusion and the force acting on the disclination dipole. Chin. Phys. B 17(12), 4592–4598 (2008)CrossRef Song, H.P., Fang, Q.H., Liu, Y.W.: The solution of a wedge disclination dipole interacting with an annular inclusion and the force acting on the disclination dipole. Chin. Phys. B 17(12), 4592–4598 (2008)CrossRef
20.
Zurück zum Zitat Kalehbasti, S.R., Gutkin, M.Y., Shodja, H.M.: Wedge disclinations in the shell of a core–shell nanowire within the surface/interface elasticity. Mech. Mater. 68, 45–63 (2014)CrossRef Kalehbasti, S.R., Gutkin, M.Y., Shodja, H.M.: Wedge disclinations in the shell of a core–shell nanowire within the surface/interface elasticity. Mech. Mater. 68, 45–63 (2014)CrossRef
21.
Zurück zum Zitat Kolesnikova, A.L., Gutkin, MYu., Proskura, A.V., Morozov, N.F., Romanov, A.E.: Elastic fields of straight wedge disclinations axially piercing bodies with spherical free surfaces. Int. J. Solids Struct. 99, 82–96 (2016)CrossRef Kolesnikova, A.L., Gutkin, MYu., Proskura, A.V., Morozov, N.F., Romanov, A.E.: Elastic fields of straight wedge disclinations axially piercing bodies with spherical free surfaces. Int. J. Solids Struct. 99, 82–96 (2016)CrossRef
22.
Zurück zum Zitat Luo, J., Li, Z., Xiao, Z.: On the stress field and crack nucleation behavior of a disclinated nanowire with surface stress effects. Acta Mech. 225, 3187–3197 (2014)MathSciNetCrossRefMATH Luo, J., Li, Z., Xiao, Z.: On the stress field and crack nucleation behavior of a disclinated nanowire with surface stress effects. Acta Mech. 225, 3187–3197 (2014)MathSciNetCrossRefMATH
23.
Zurück zum Zitat Hirth, J.P., Lothe, J.: Theory of Dislocations, 2nd edn, pp. 59–95. Wiley, NY (1982) Hirth, J.P., Lothe, J.: Theory of Dislocations, 2nd edn, pp. 59–95. Wiley, NY (1982)
24.
Zurück zum Zitat Li, J.C.M.: Some elastic properties of an edge dislocation wall. Acta Metall. 8, 563–574 (1960)CrossRef Li, J.C.M.: Some elastic properties of an edge dislocation wall. Acta Metall. 8, 563–574 (1960)CrossRef
25.
Zurück zum Zitat Li, J.C.M.: Disclination model of high angle grain boundaries. Surf. Sci. 31, 12–26 (1972)CrossRef Li, J.C.M.: Disclination model of high angle grain boundaries. Surf. Sci. 31, 12–26 (1972)CrossRef
26.
Zurück zum Zitat Colin, J., Bonneville, J., Grilhé, J.: Dislocation-based description of the sliding of a free-surface emerging grain boundary. Acta Mech. 2298, 3215–3222 (2018)MathSciNetCrossRefMATH Colin, J., Bonneville, J., Grilhé, J.: Dislocation-based description of the sliding of a free-surface emerging grain boundary. Acta Mech. 2298, 3215–3222 (2018)MathSciNetCrossRefMATH
27.
Zurück zum Zitat Landau, L.D., Lifshitz, E.M.: Theory of Elasticity, vol. 7, pp. 27–30. Pergamon Press Ltd., Oxford (1970) Landau, L.D., Lifshitz, E.M.: Theory of Elasticity, vol. 7, pp. 27–30. Pergamon Press Ltd., Oxford (1970)
28.
Zurück zum Zitat Dundurs, J., Mura, T.: Interaction between an edge dislocation and a circular inclusion. J. Mech. Phys. Solids 12, 177–189 (1964)MathSciNetCrossRef Dundurs, J., Mura, T.: Interaction between an edge dislocation and a circular inclusion. J. Mech. Phys. Solids 12, 177–189 (1964)MathSciNetCrossRef
29.
Zurück zum Zitat Peach, M., Köhler, J.S.: The forces exerted on dislocations and the stress fields produced by them. Phys. Rev. 80, 436–439 (1950)MathSciNetCrossRefMATH Peach, M., Köhler, J.S.: The forces exerted on dislocations and the stress fields produced by them. Phys. Rev. 80, 436–439 (1950)MathSciNetCrossRefMATH
Metadaten
Titel
Dislocation emission from a cylindrical circular void separating two disclination dipoles in a high-angle grain boundary
verfasst von
Jérôme Colin
Publikationsdatum
09.05.2019
Verlag
Springer Vienna
Erschienen in
Acta Mechanica / Ausgabe 8/2019
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-019-02424-9

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