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Soft-Mode Scenarios of Shear Localization: Atomic-Level Landscapes

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Abstract

Using an elementary case study of stress-induced structural instability in a crystal we discuss how collective response to large-strain deformation at the atomic level can give insights into the mechanistic nature of shear localization. Stability criteria and reaction pathway sampling are used to probe saddle-point configurations, both local spatial coordinates and activation energy barriers, to optimally extract the information available from molecular dynamics simulations.

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References

  1. A. Gouldstone, H.-J. Koh, K. Y. Zeng, A. E. Giannakopoulos, and S. Suresh, Acta Mater 48:2277 (2000).

    Google Scholar 

  2. M. Born, Proc. Cambridge Philos. Soc. 36:160 (1940); M. Born and K. Huang, Dynamical Theory of Crystal Lattices, (Clarendon, Oxford, 1956.)

  3. J. Wang, J. Wang, J. Li, S. Yip, S. Phillpot, and D. Wolf, Phys. Rev. B 52:12627 (1995).

    Article  ADS  Google Scholar 

  4. J. W. Morris and C. R. Krenn, Philos. Mag. A 80:2827 (2000).

    Article  Google Scholar 

  5. J. Li, T. Zhu, S. Yip, K. Van Vliet, and S. Suresh, “Elastic Criterion for Dislocation Nucleation,” Mat. Sci. & Eng. A 365:25 (2004).

    Article  Google Scholar 

  6. R. Hill, J. Mech. Phys. Solids 10:1 (1962).

    Article  MathSciNet  Google Scholar 

  7. J. R. Rice, in Theoretical and Applied Mechanics, W. T. Koiter (Ed.) (North-Holland, Amsterdam, 1976), vol. 1, p. 207.

  8. J. Li, K. J. Van Vliet, T. Zhu, S. Yip, and S. Suresh, Nature 418:307 (2002).

    Article  ADS  Google Scholar 

  9. T. Zhu, J. Li, K. J. Van Vliet, S. Suresh, S. Ogata, and S. Yip, J. Mech. Phys Solids 52:691 (2004).

    Article  Google Scholar 

  10. K. J. Van Vliet, J. Li, T. Zhu, and S. Yip, and S. Suresh, Phys. Rev. B 67:104105 (2003).

    ADS  Google Scholar 

  11. J. Chang, Ph.D. Thesis, MIT (2003).

  12. J. Chang, T. Zhu, J. Li, X. Lin, X. Qian, S. Yip, in Mesoscopic Dynamics of Fracture Process and Materials Strength, H. Kitagawa and Y. Shibutani (Eds.) (Kluwer Academic, Dordrecht, 2004), p. 223.

  13. H. Jonsson, G. Mills, and K. W. Jacobsen, in Classical and Quantum Dynamics in Condensed Phase Simulations, B. J. Berne, G. Ciccotti, D. F. Coker, (Eds.) (Plenum Press, New York, 1998), p. 385.

  14. J. Li and S. Yip, Comp. Model. Eng. Sci. 3:219 (2002).

    Google Scholar 

  15. T. Zhu, J. Li, and S. Yip, Phys. Rev. Lett. 93:025503 (2004).

    Article  ADS  Google Scholar 

  16. T. Zhu, J. Li, and S. Yip, Phys. Rev. Lett. 93:205504 (2004).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Nuclear Science and Engineering and Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Sidney Yip

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  1. Sidney Yip
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Correspondence to Sidney Yip.

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Yip, S. Soft-Mode Scenarios of Shear Localization: Atomic-Level Landscapes. J Stat Phys 125, 1109–1120 (2006). https://doi.org/10.1007/s10955-006-9030-1

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  • DOI: https://doi.org/10.1007/s10955-006-9030-1

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