Table of Contents
Journal of Solid State Physics
Volume 2013, Article ID 604714, 6 pages
http://dx.doi.org/10.1155/2013/604714
Research Article

The Phenomenological Description of Plastic Flow in Solids

Sumy State University, 2 Rimskii-Korsakov Street, Sumy 40007, Ukraine

Received 30 April 2013; Accepted 29 August 2013

Academic Editor: Kazuhiko Endo

Copyright © 2013 O. V. Yushchenko and D. S. Trotskaya. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, Elsevier, Oxford, UK, 1986.
  2. A. Liu and S. R. Nagel, Jamming and Rheology: Constrained Dynamics on Microscopic and Macroscopic Scales, Taylor and Francis, London, UK, 2001.
  3. A. Ikeda, L. Berthier, and P. Sollich, “Unified study of glass and jamming rheology in soft particle systems,” Physical Review Letters, vol. 109, Article ID 018301, 2012. View at Google Scholar
  4. B. Devincre and L. P. Kubin, “Mesoscopic simulations of dislocations and plasticity,” Materials Science and Engineering A, vol. 234-236, pp. 8–14, 1997. View at Google Scholar · View at Scopus
  5. V. Bulatov, F. F. Abraham, L. Kubin, B. Devincre, and S. Yip, “Connecting atomistic and mesoscale simulations of crystal plasticity,” Nature, vol. 391, no. 6668, pp. 669–672, 1998. View at Publisher · View at Google Scholar · View at Scopus
  6. K. W. Schwarz, “Simulation of dislocations on the mesoscopic scale. I. Methods and examples,” Journal of Applied Physics, vol. 85, article 108, 1999. View at Publisher · View at Google Scholar
  7. A. Artemev, Y. Jin, and A. G. Khachaturyan, “Three-dimensional phase field model of proper martensitic transformation,” Acta Materialia, vol. 49, no. 7, pp. 1165–1177, 2001. View at Publisher · View at Google Scholar · View at Scopus
  8. A. Onuki, “Plastic flow in two-dimensional solids,” Physical Review E, vol. 68, Article ID 061502, 2003. View at Google Scholar
  9. P. D. Fleming and C. Cohen, “Hydrodynamics of solids,” Physical Review B, vol. 13, pp. 500–516, 1976. View at Google Scholar
  10. C. Cohen, P. D. Fleming, and J. H. Gibbs, “Hydrodynamics of amorphous solids with application to the light-scattering spectrum,” Physical Review B, vol. 13, pp. 866–877, 1976. View at Google Scholar
  11. K. Takae and A. Onuki, “Phase-field model of solid-liquid phase transition with density difference and latent heat in velocity and elastic fields,” Physical Review E, vol. 83, Article ID 041504, 2011. View at Google Scholar
  12. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Pergamon, New York, NY, USA, 1959.
  13. A. Onuki, “Nonlinear strain theory of plastic flow in solids,” Journal of Physics, vol. 15, pp. S891–S901, 2003. View at Google Scholar
  14. D. Ruelle and F. Takens, “On the nature of turbulence,” Communications in Mathematical Physics, vol. 20, no. 3, pp. 167–192, 1971. View at Google Scholar
  15. H. Haken, Synergetic, Sprinder, Berlin, Germany, 1980.
  16. E. N. Lorenz, “Deterministic nonperiodic flow,” Journal of the Atmospheric Sciences, vol. 20, no. 2, pp. 130–141, 1963. View at Google Scholar
  17. O. V. Yushchenko and A. Y. Badalyan, “Statistical description of the collective motion of nanoparticles,” Physical Review E, vol. 85, Article ID 051127, 2012. View at Google Scholar
  18. A. I. Olemskoi, O. V. Yushchenko, and T. I. Zhilenko, “Investigation of conditions for a self-organized transition to the bistable regime of quasi-equilibrium condensation and stripping of the surface,” Physics of the Solid State, vol. 53, no. 4, pp. 845–853, 2011. View at Publisher · View at Google Scholar · View at Scopus