Skip to main content

Constitutive Modeling of Inelastic Single Crystals for Localization Phenomena

  • Conference paper
Book cover Computational Mechanics ’95

Abstract

The main objective of the present paper is the constitutive modelling of inelastic single crystals. A constitutive model is developed within the thermodynamic framework of the rate type covariance constitutive structure and takes account of the effects as follows: (i) thermomechanical coupling; (ii) influence of covariant terms, lattice deformations and rotations and plastic spin; (iii) dislocation substructure; (iv) rate sensitivity (viscosity).

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. R.J. Asaro and J.R. Rice, Strain localization in ductile single crystals. J. Mech. Phys. Solids, Vol.25 (1977), pp.309–338.

    Article  MATH  Google Scholar 

  2. H. Balke and Y. Estrin, Micromechanical modelling of shear banding in single crystals. Int. J. Plast, Vol.10 (1994), pp.133–147.

    Article  MATH  Google Scholar 

  3. Y.W. Chang and R.J. Asaro, Lattice rotations and shearing in crystals. Arch. Mech., Vol.32 (1980), pp.369–388.

    Google Scholar 

  4. Y.W. Chang and R.J. Asaro, An experimental study of shear localization in aluminum-copper single crystals. Acta Metall, Vol.29 (1981), 241–257.

    Article  Google Scholar 

  5. P.S. Follansbee, Metallurgical Applications of Shock — Wave and High-Strain-Rate Phenomena, (eds. L. E. Mun, K. P. Staudhammer and M. A. Meyeres), Marcel Dekker, New York (1986), pp.451 – 480.

    Google Scholar 

  6. M.K. Duszek-Perzyna and P. Perzyna, Adiabatic shear band localization in elastic-plastic single crystals. Int. J. Solids Structures, Vol.30 (1993), 61–89.

    Article  MATH  Google Scholar 

  7. M.K. Duszek-Perzyna and P. Perzyna, Adiabatic shear band localization of inelastic single crystals in symmetric double slip process. (1995) (In preparation for publication).

    Google Scholar 

  8. Y. Estrin and L.P. Kubin, Load strain hardening and nonuniformity of plastic deformation. Acta Metall, Vol.34 (1986), pp.2455–2464.

    Article  Google Scholar 

  9. R. Hill and J.R. Rice, Constitutive analysis of elastic-plastic crystals at arbitrary strain. J. Mech. Phys. Solids, Vol.20 (1972), pp.401–413.

    Article  MATH  Google Scholar 

  10. L.L. Lisiecki, D.R. Nelson and R.J. Asaro, Lattice rotations, necking and localized deformation in f.c.c. single crystals. Scripta Met., Vol.16 (1982), 441–449.

    Article  Google Scholar 

  11. P. Perzyna, Temperature and rate dependent theory of plasticity of crystalline solids. Revue Phys. Appl., Vol.23 (1988), pp.445–459.

    Article  Google Scholar 

  12. P. Perzyna, Constitutive modelling of heterogeneous deformations and localization in inelastic single crystals. (1995) (In preparation for publication).

    Google Scholar 

  13. P. Perzyna and K. Korbel, Analysis of the influence of substructure of crystal on the localization phenomenon of plastic deformation. Mechanics of Materials (1995) (Submitted for publication).

    Google Scholar 

  14. M.M. Rashid, G.T. Gray and S. Nemat-Nasser, Heterogeneous deformations in copper single crystals at high and low strain rates, Philosophical Magazine A, Vol.65 (1992), pp.707–735.

    Article  Google Scholar 

  15. W.A. Spitzig, Deformation behaviour of nitrogenated Fe-Ti-Mn and Fe-Ti single crystals. Acta Metall., Vol.29 (1981), pp.1359–1377.

    Article  Google Scholar 

  16. C. Teodosiu and F. Sidoroff, A theory of finite elastoplasticity of single crystals. Int. J. Engng. Sci., Vol.14 (1976), pp. 165–176.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Perzyna, P., Duszek-Perzyna, M.K. (1995). Constitutive Modeling of Inelastic Single Crystals for Localization Phenomena. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_272

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-79654-8_272

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79656-2

  • Online ISBN: 978-3-642-79654-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics