Skip to main content

Computational Micro-macro-transitions in Thermoplastic Analysis at Finite Strains

  • Conference paper
IUTAM Symposium on Micro- and Macrostructural Aspects of Thermoplasticity

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

  • 306 Accesses

Conclusion

We have proposed a theoretical and computational concept for the implementation of different possible micro-macro-transitions at finite strains under non-isothermal conditions. The concept bases on a coupled discretization of both the macro-continuum and a pointwise attached micro-structure and exploits in a straigtforward manner volume averaging theorems. This approach has been applied to the simulation of the texture development in polycrystals under nonisothermal conditions, where a robust fully implicit stress update algorithm for single crystal thermoplasticity on the micro-structure has been applied.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bruhns, O.T. (1993) Neue Materialgleichungen der Plastomechanik. Zeitschrift für angewandte Mathematik und Mechanik 73, pp, T6–T19.

    MATH  Google Scholar 

  2. Hill, R. (1972) On constitutive macro-variables for heterogeneous solids at finite strain. Proceedings of the Royal Society London, Series A 326, pp. 131–147.

    MATH  Google Scholar 

  3. Miehe, C. (1994) Aspects of the Formulation and Finite Element Impelementation of Large Strain Isotropic Elasticity. International Journal of Numerical Methods in Engineering, 37, pp. 1981–2004.

    Article  MATH  MathSciNet  Google Scholar 

  4. Miehe, C. (1996) Multisurface Thermoplasticity for Single Crystals at Large Strains in Terms of Eulerian Vector Updates. International Journal of Solids and Structures 33, pp. 3103–3130.

    Article  MATH  Google Scholar 

  5. Miehe, C. (1996) Numerical Computation of Algorithmic (Consistent) Tangent Moduli in Large-Strain Computational Inelasticity. Computer Methods in Applied Mechanics and Engineering 134, pp. 223–240.

    Article  MATH  MathSciNet  Google Scholar 

  6. Miehe, C. and Schroder, J. (1996) Computational Micro-Macro-Transitions of Elastic and Inelastic Materials at Large Strains. Submitted to International Journal of the Mechanics and Physics of Solids.

    Google Scholar 

  7. Nemat-Nasser, S. and Hori, M. (1993) Micromechanics. Overall Properties of Heterogeneous Materials. Cambridge University Press.

    Google Scholar 

  8. Simó, J.C. and Miehe, C. (1992) Associative Coupled Thermoplasticity at Finite Strains: Formulation, Numerical Analysis and Implementation. Computer Methods in Applied Mechanics and Engineering, 98, pp. 41–104.

    Google Scholar 

  9. Suquet, P.M. (1986) Homogenization Techniques of Composite Materials, Eds.: Sanchez-Palenzia, E., and Zaoui, A., Lecture Notes in Physics 272, Springer-Verlag, pp. 193–278.

    Google Scholar 

  10. Wriggers, P. and Miehe, C. (1994) Contact Constraints within Coupled Thermomechanical Analysis-A Finite Element Model. Computer Methods in Applied Mechanics and Engineering 113, pp. 301–319.

    Article  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

Miehe, C., Schröder, J. (1999). Computational Micro-macro-transitions in Thermoplastic Analysis at Finite Strains. 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_13

Download citation

  • DOI: https://doi.org/10.1007/0-306-46936-7_13

  • 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