Skip to main content

On Mathematical Modeling of the Material Structure Changes in the Plastic Localization Bands

  • Conference paper
  • 304 Accesses

Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 62))

Conclusion

The model of necking presented above is based in its mathematical structure on the author’s concept (Kafka 1987) verified earlier for small strains, and in its physical meaning on the experimental findings mentioned in the Introduction (changes of the material properties in the localization band - development of fragmental structure). The model is able to describe the complete stress-strain diagram up to rupture and the changes of the form of the body in the course of necking.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bontcheva N., Baltov A., Todorov St., Pesheva M. (1988): Plastic localization bands at nonhomogeneous plane strain and coupled thermoplastic processes, BAN-Theoretical and Applied Mechanics XIX, 4, 85–94.

    Google Scholar 

  • Dao M. and Asaro R.J. (1996): Localized deformation modes and non-Schmid effect in crystalline solids, Mechanics of Materials 23, 71–102.

    Google Scholar 

  • Gajdoš L. (1973): Změny elektrické impedance v pruběny únavového procesu, Research report SVUM Praha, Z-73-2936.

    Google Scholar 

  • Kafka V. (1987): Inelastic Mesomechanics, World Scientific Publ. Co., Singapore-New Jersey-London-HongKong.

    Google Scholar 

  • Kafka V. (1996): Plastic deformation under complex loading: General constitutive equation, Ada Technica CSAV 41, 617–634.

    Google Scholar 

  • Kafka V. (1997): Localization of plastic deformation: Mesomechanical energetic interpretation and modeling, ZAMM 77, S1,147–148.

    MATH  Google Scholar 

  • Kafka V., Hlaváček, M. (1995): On the relation between Kafka’s mesomechanical concept and the bounds for elastic moduli, Ada Technica CSAV 40, 339–356.

    Google Scholar 

  • Pecherski R.B. (1985): Discussion of sufficient condition for plastic flow localization, Eng. Fract. Mech. 21,4, 767–779.

    Google Scholar 

  • Tvergaard V. (1980): Bifurcation and imperfection-sensitivity at necking instabilities, ZAMM 60, T26–T34.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Kluwer Academic Publishers

About this paper

Cite this paper

Kafka, V. (1999). On Mathematical Modeling of the Material Structure Changes in the Plastic Localization Bands. In: Bruhns, O.T., Stein, E. (eds) IUTAM Symposium on Micro- and Macrostructural Aspects of Thermoplasticity. Solid Mechanics and its Applications, vol 62. Springer, Dordrecht. https://doi.org/10.1007/0-306-46936-7_22

Download citation

  • DOI: https://doi.org/10.1007/0-306-46936-7_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5265-5

  • Online ISBN: 978-0-306-46936-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics