Skip to main content

Efficient Elasto-Plastic Simulation

  • Chapter
  • 224 Accesses

Summary

In this paper we describe a method for the construction of radial return algorithms to the plasticity models discussed in Alber [1]. For the classical examples this shows that the algorithms in Simo-Hughes [5] can be derived by this method in a systematic way. We apply the method to viscoplasticity with nonlinear isotropic and kinematic hardening. The combination of parallel multigrid methods with the radial return algorithm results in a very efficient algorithm. The performance of the method is illustrated by a numerical example.

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   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
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

  1. H.-D. Alber, Materials with memory, vol. 1682 of Lecture Notes in Mathematics, Springer, 1998.

    MATH  Google Scholar 

  2. P. Bastian, K. Birken, K. Johannsen, S. Lang, N. Neuss, H. Rentzreichert, and C. Wieners, Ug — a flexible software toolbox for solving partial differential equations, Computing and Visualization in Science, 1 (1997), pp. 27–40.

    Article  MATH  Google Scholar 

  3. R. Blaheta, Convergence of Netwon-type methods in incremental return mapping analysis of elasto-plastic problems, Comput. Meth. Appl. Mech. Engrg., 147 (1997), pp. 167–185.

    Article  MathSciNet  MATH  Google Scholar 

  4. J. Lemaitre and J. L. Chaboche, Mechanics of solid materials, Cambridge University press, 1994.

    Google Scholar 

  5. J. C. Simo and T. J. R. Hughes, Computational inelasticity, Springer, 1998.

    MATH  Google Scholar 

  6. J. C. Simo and R. L. Taylor, Consistent tangent operators for rateindependent elastoplasticity, Comput. Meth. Appl. Mech. Engrg., 48 (1985), pp. 101–118.

    Article  MATH  Google Scholar 

  7. C. Wieners, Orthogonal projections onto convex sets and the application to problems in plasticity, tech. rep., Universität Stuttgart, Sfb 404 Preprint 99/15, 1999.

    Google Scholar 

  8. C. Wieners, Theorie und Numerik der Prandtl-Reufβ Plastizität, Universität Heidelberg, 1999. Habilitationsschrift, submitted.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Wieners, C. (2000). Efficient Elasto-Plastic Simulation. In: Sändig, AM., Schiehlen, W., Wendland, W.L. (eds) Multifield Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04015-7_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-04015-7_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08693-9

  • Online ISBN: 978-3-662-04015-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics