Skip to main content

Simulation of the Effect of Intermittent Flow in Polycrystals on the Basis of Cellular Automata and Relaxation Element Method

  • Conference paper
Cellular Automata (ACRI 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5191))

Included in the following conference series:

  • 1624 Accesses

Abstract

The simulation of the effect of intermittent flow in polycrystals is performed on the basis of cellular automata and relaxation element method. Each cell (representing element of a structure) has an ability to switch its state by discrete jump in stresses (or plastic deformation), prescribed by a definite relaxation element which is put in the center of the cell. Interaction of the field of internal stresses from structural elements, undergone plastic deformation occurs automatically, following the superposition principle. The results are in a good agreement with known experimental findings.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Estrin, Y., Kubin, L.P.: Spatial Cupling and Propagative Plastic Instabilities. In: Mühlhaus, H.-B. (ed.) Continuum Models of Materials with Microstructure, ch.2, pp. 395–450. John Wiley&Sons Ltd., Chichester (1995)

    Google Scholar 

  2. Klose, F.B., Ziegenbein, A., Weidenmüller, J., Neuhäuser, H., Hähner, P.: Portevin-Le Chatelier effect in strain and stress controlled tensile tests. Comput. Mat. Sci. 26, 80–86 (2003)

    Article  Google Scholar 

  3. Zhang, Q., Jiang, Z., Jiang, H., Chen, Z., Wu, X.: On the propagation and pulsation of Portevin-Le Chatelier deformation bands: An experimental study with digital specle pattern metrology. Int. J. Plasticity 21, 2150–2173 (2005)

    Article  MATH  Google Scholar 

  4. Deryugin, E.E., Panin, B.E., Schmauder, S., Storozhenko, I.V.: Effects of strain localization in composites on the basis of Al with Al2O3. Phys. mesomech. 4(3) (2001)

    Google Scholar 

  5. Krishtal, M.M.: Instability and mesoscopic inhomogenuity of plastic deformation (analitycal review). Phys. mesomech. V7(5), 5–45 (2001)

    Google Scholar 

  6. Deryugin, Ye.: Relaxation element method, Monograph. Novosibirsk, Nauka. Siberian book-publishing firm SB RAS (1998)

    Google Scholar 

  7. Deryugin, Ye. Ye., Lasko, G.V.: Relaxation element method in the problem of mesomechanics and calculations of band structures. In: Panin, V.E. (ed.) Physical mesomechanics and computer-aided designing of materials, Novosibirsk, Nauka, vol. 1, pp. 131–161. Siberian book-publishing firm SB RAS (1995)

    Google Scholar 

  8. Deryugin, Y.Y., Lasko, G.V., Schmauder, S.: Relaxation element method. Comput. Mat. Sci. 11(3), 189–203 (1998)

    Article  Google Scholar 

  9. Lasko, G.V., Deryugin Ye, Y., Schmauder, S.: Plastic Deformation Development in Polycrystals based on Cellular Automata and relaxation Element Method. In: Sloot, P.M.A., Chopard, B., Hoekstra, A.G. (eds.) ACRI 2004. LNCS, vol. 3305, pp. 375–384. Springer, Heidelberg (2004)

    Google Scholar 

  10. Lasko, G.V., Deryugin Ye., Y., Schmauder, S.: Simulation of the Evolution of Band Structures in Polycrystals on the Basis of Relaxation Element Method and Cellular Automata. In: El Yacoubi, S., Chopard, B., Bandini, S. (eds.) ACRI 2006. LNCS, vol. 4173, pp. 367–372. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Hiroshi Umeo Shin Morishita Katsuhiro Nishinari Toshihiko Komatsuzaki Stefania Bandini

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Deryugin, Y.Y., Lasko, G.V., Schmauder, S. (2008). Simulation of the Effect of Intermittent Flow in Polycrystals on the Basis of Cellular Automata and Relaxation Element Method. In: Umeo, H., Morishita, S., Nishinari, K., Komatsuzaki, T., Bandini, S. (eds) Cellular Automata. ACRI 2008. Lecture Notes in Computer Science, vol 5191. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79992-4_34

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-79992-4_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79991-7

  • Online ISBN: 978-3-540-79992-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics