Spatiotemporal Ordering at Plastic Flow of Solids

L. B. Zuev, V. I. Danilov, B. S. Semukhin

Institute of Strength Physics and Materials Science SB RAS, 2/4 Akademicheskiy Ave., Tomsk, 634021, Russia

Received: 15.03.2002. Download: PDF

The initiation of spatially-ordered strain-localization patterns—waves which evolve with time—is investigated for a wide range of the deformed materials—metals and alloys. The main parameters of these waves, i.e. the propagation velocity against the work-hardening coefficient, dispersion law, and wavelength against the grain size and specimen length are determined. Consideration is given to the possibility of treating plastic-flow localization as a process of plastic flow occurring in a deformed medium. A set of equations is derived, which is appropriate for the description of the evolution of local strain nuclei. The changes of the local-strain pattern type, which are observed in the various stages of flow, are examined. A model is proposed to account for the large-scale periodicity manifested in the distribution of localized deformation.

Keywords: deformation, work-hardening, localization, self-organization, autowaves.

PACS: 05.45.Df, 05.70.Ln, 62.20.Fe, 62.50.+p, 81.40.Lm, 83.50.-v

DOI: https://doi.org/10.15407/ufm.03.03.237

Citation: L. B. Zuev, V. I. Danilov, and B. S. Semukhin, Spatiotemporal Ordering at Plastic Flow of Solids, Usp. Fiz. Met., 3, No. 3: 237—304 (2002) (in Russian), doi: 10.15407/ufm.03.03.237


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  1. V. I. Danilov, K. V. Gonchikov and L. B. Zuev, Tech. Phys. Lett. 30, 161 (2004).
  2. V. I. Danilov, S. A. Barannikova and L. B. Zuev, Tech. Phys. 48, 1429 (2003).
  3. L. B. Zuev, T. M. Poletika and G. N. Narimanova, Tech. Phys. Lett. 29, 519 (2003).
  4. L. B. Zuev, Usp. Fiz. Met. 16, 35 (2015).
  5. S. A. Barannikova, Tech. Phys. Lett. 30, 338 (2004).
  6. V. І. Danilov and L. B. Zuev, Usp. Fiz. Met. 9, 371 (2008).