Skip to main content
SpringerLink
Log in
Book cover

Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects pp 184–191Cite as

Weak Solutions in Rate Type Dynamic Viscoplasticity

  • Chapter

  • 577 Accesses

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 43))

Summary

An initial and boundary value problem, describing dynamic processes for a class of viscoplastic materials, is considered. An existence and uniqueness result is obtained. The assumptions are weak enough to allow time discontinuities of boundary data and space discontinuities of initial data for the velocity and the stress.

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

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. CAZENAVE, T., HARAUX, A.:“Introduction aux problèmes d’évolution semilinéaires”, Ellipses, Paris 1990.

    Google Scholar 

  2. DAPRATO, G., GRISVARD, P.:“Maximal regularity for evolution equations by interpolation and extrapolation”, J. Funet. Anal., 58 (1984) pp. 107–124.

    Article  MathSciNet  Google Scholar 

  3. DJAOUA, M., SUQUET, P.: “Evolution quasi-statique des milieux viscoplastiques de Maxwell-Norton”, Math. Meth. Appl. Sci., 6 (1984) pp.192–205.

    Article  MathSciNet  MATH  Google Scholar 

  4. DUVAUT, G., LIONS, J.L.: “Les inéquations en mécanique et en phisique”, Dunod, Paris 1972.

    Google Scholar 

  5. IONESCU, I.R.: “Dynamic processes for a class of elastic viscoplastic materials”, Preprint Series in Mathematics, Bucharest, 64 (1988).

    Google Scholar 

  6. IONESCU, I.R.: “Some existence results in one dimensional viscoplasticity with hardening”, IMA J. Appl. Math. (to appear)

    Google Scholar 

  7. IONESCU, I.R., SOFONEA, M.: “Quasistatic processes for elastic viscoplastic materials”, Quart. Appl. Math., 2 (1988) pp. 229–243.

    MathSciNet  Google Scholar 

  8. IONESCU, I.R., SOFONEA, M.: “Functional and numerical methods in viscoplasticity”, Oxford University Press (to appear).

    Google Scholar 

  9. LABORDE, P.: “On viscoplasticity with work hardening”, Numer. Funct. Anal. Optim., 1 (1979) pp. 315–339.

    Article  MathSciNet  MATH  Google Scholar 

  10. NECAS, I., KRATOCHVIL, I.: “On the existence of the solution of boundary value problems for elastic-inelastic solids”, Comment. Math. Univ. Carolin., 14 (1973) pp.755–760.

    MathSciNet  MATH  Google Scholar 

  11. SUQUET, P.: “Sur les équations de la plasticité: existence et régularité des solutions”, J. Méc. Théor. Appl., 20 (1981) pp. 3–39.

    MathSciNet  MATH  Google Scholar 

  12. SUQUET, P.: “Evolution problems for a class of dissipative materials”, Quart. Appl. Math., 38 (1981) pp. 391–414.

    MathSciNet  MATH  Google Scholar 

  13. SUQUET, P.: “Plasticité et homogénisation”, Ph. D. Thesis, Paris 6 University, (1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Modélisation en Mécanique, Université Paris 6, Tour 66, 4 place Jussieu, 75252, Paris Cedex 05, France

    C. Dascalu

  2. Laboratoire de Modélisation et Calcul, Domaine Universitaire, 51 Rue des Mathématiques, 38041, Grenoble Cedex, France

    I. R. Ionescu

Authors
  1. C. Dascalu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. R. Ionescu
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Andrea Donato Francesco Oliveri

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

About this chapter

Cite this chapter

Dascalu, C., Ionescu, I.R. (1993). Weak Solutions in Rate Type Dynamic Viscoplasticity. In: Donato, A., Oliveri, F. (eds) Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects. Notes on Numerical Fluid Mechanics (NNFM), vol 43. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87871-7_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-322-87871-7_22

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-528-07643-6

  • Online ISBN: 978-3-322-87871-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation