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Dislocation interactions with tilt walls

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Abstract

The flow of plastic deformation in polycrystalline materials can be due to activation of sources in adjacent grains due to the effect of pile up dislocations against the grain boundary and also through the transmission of dislocations across the grain boundary. In this paper, we focus on these two issues by studying the evolution of resolved shear stress as a result of pile up dislocations against the boundary and understanding the basic phenomena of dislocation transmission through grain boundary. We also investigated the relaxed structures a grain boundary acquires after the process of dislocation transmission.

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References

  • Akarapu, S., Hirth, J.P., Zbib, H.M.: Modeling and analysis of disconnections in tilt walls. Scripta Mat. (in press)

  • Asaro, R.J., Needleman, A.: Texture development and strain hardening in rate-dependent polycrystals. Acta Metall. 33, 923 (1985)

    Article  Google Scholar 

  • Fleck, N.A., Hutchinson, J.W.: A reformulation of strain gradient plasticity. J. Mech. Phys. Solids 49, 2245–2271 (2001)

    Article  MATH  Google Scholar 

  • Gurtin, M.E.: On the plasticity of single crystal viscoplasticity that accounts for geometrically necessary dislocations. Int. J. Plasticity 19, 47–90 (2000)

    Article  Google Scholar 

  • Hirth, J.P., Balluffi, R.W.: On grain boundary dislocations and ledges. Acta Metall. 21, 929–942 (1973)

    Article  Google Scholar 

  • Hirth, J.P., Lothe, J.: Theory of Dislocations. Wiley (1982)

  • Hirth, J.P., Pond, R.C., Lothe, J.: Disconnections in tilt walls. Acta Mater. 54, 4237–4245 (2006)

    Article  Google Scholar 

  • Horstemeyer, M.F., Baskes, M.I.: Atomistic finite deformation simulations: a discussion on length scale effects in relation to mechanical stresses. J. Engg. Mat. Tech. 121, 114–119 (1999)

    Article  Google Scholar 

  • Hutchinson, J.W.: Bounds and self-consistent estimates for creep of polycrystalline materials. Proc. R. Soc. London, Ser A 348, 101 (1976)

    Article  MATH  Google Scholar 

  • Kalidindi, S.R., Bronkhorst, C.A., Anand, L.: Crystallographic texture evolution in bulk deformation processing of FCC metals. J. Mech. Phys. Solids 40, 537 (1992)

    Article  Google Scholar 

  • Kurtz, R.J., Hoagland, R.G., Hirth, J.P.: Effects of extrinsic grain boundary defects on grain boundary sliding. Phil. Mag. A 79(3), 665–681 (1999)

    Google Scholar 

  • Leffers, T., Van Houtte, P.: Calculation and experimental orientation distributions of two lamellae in rolled brass. Acta Metall. 37, 1191 (1989)

    Article  Google Scholar 

  • Li, J.C.M.: Disclination model of high angle boundaries. Surf. Sci. 31, 12–26 (1972)

    Article  Google Scholar 

  • Mesarovic, S.D.: Energy, configurational forces and characteristic lengths associated with the continuum description of geometrically necessary dislocations. Int. J. Plasticity 21, 1855–1889 (2005)

    Article  MATH  Google Scholar 

  • Molinari, A., Canova, G.R., Ahzi, S.: A self-consistent approach of the large deformation polycrystal viscoplasticity. Acta Metall. 35, 2983 (1987)

    Article  Google Scholar 

  • Mura, T.: Micromechanics of Defects in Solids. Kluwer Academic Publishers (1991)

  • Pond, R.C., Vlachavas, D.S.: Bicrystallography. Proc. R. Soc. (London), A386, 95–143 (1983)

    Article  MathSciNet  Google Scholar 

  • Shizwa, K., Zbib, H.M.: A thermodynamical theory of gradient elastoplasticity with dislocation density tensor. I: Fundamentals. I. Int. J. Plasticity 15, 899–928 (1999)

    Article  Google Scholar 

  • Zbib, H.M., Aifantis, E.C.: On the localization and post-localization of plastic deformation. I, II, III. Res. Mechanica 23, 261–277; 279–292; 293–305 (1989)

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Acknowledgements

The support from DOE office of basic energy sciences under grant number DE-FG02-07ER46435 is gratefully acknowledged. The authors also wish to thank Dr. J.P. Hirth for all the fruitful discussions we have had over the subject discussed in the paper and other related subjects.

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Authors and Affiliations

  1. School of Mechanical and Materials Engineering, Washington State University, Pullman, WA, 99164, USA

    S. Akarapu & H. Zbib

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  1. S. Akarapu
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  2. H. Zbib
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Correspondence to S. Akarapu.

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Akarapu, S., Zbib, H. Dislocation interactions with tilt walls. Int J Mech Mater Des 4, 399–406 (2008). https://doi.org/10.1007/s10999-008-9073-3

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  • DOI: https://doi.org/10.1007/s10999-008-9073-3

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