Skip to main content

Thermodynamics and phenomenology

  • Chapter
Continuum Thermomechanics

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 76))

Abstract

The general way to derive constitutive equations for different phenomena, coupled or not, is briefly described with an emphasis on the choice of state variables and analytical expressions for the state potential and the (pseudo) potential of dissipation by qualitative experiments. Quantitative experiments are used to determine the numerical values of the materials dependent parameters. Applications are given for anisotropic damage coupled to stress-strain behaviour of materials, for aging coupled to plasticity and for magneto-mechanical couplings. A brief «state of the art» on localisation phenomena is given as a conclusion.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Benallal, A.; Billardon, R.; Geymonat, G.; Bifurcation and localisation in rate-independent materials. Some general considerations, CISM Lecture Notes No 327 on Bifurcation and Stability of Dissipative Systems, pp. 1–44, edited by Nguyen Quoc Son, Springer Verlag.

    Google Scholar 

  2. Buiron, N.; Hirsinger, L.; Billardon, R.; A multiscale model for magneto-elastic couplings, J. Phys. IV France 9, pp. 187–196.

    Google Scholar 

  3. Cordebois, J.P.; Sidoroff, F.; Endommagement anisotrope en élasticité et plasticité, In JMTA Numero special, pp. 45–60.

    Google Scholar 

  4. Germain, P.; Nguyen, Q.S.; Suquet, P.; Continuum Thermodynamics, J. Appl. Mech., 50, pp. 1010–1020.

    Google Scholar 

  5. Lemaitre, J.; Chaboche, J.L.; Mechanics of Solid Materials, Cambridge University Press, Cambridge (UK).

    Google Scholar 

  6. Lemaitre, J.; Desmorat, R.; Sauzay, M.; Anisotropic damage law of evolution, European J. Mech../A Solids (accepted).

    Google Scholar 

  7. Lemaitre, J.; Marquis, D.; Modeling Complex behavior of metals by the «state-kinetic coupling theory», J. Eng. Mat. Tech, 114, pp. 250–254.

    Google Scholar 

  8. Marquis, D.; Costa Mattos, H.; Modeling plasticity and aging as coupled phenomena, Int. J. Plasticity, 7, pp. 865–877.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Kluwer Academic Publishers

About this chapter

Cite this chapter

Lemaitre, J., Benallal, A., Billardon, R., Marquis, D. (2000). Thermodynamics and phenomenology. In: Maugin, G.A., Drouot, R., Sidoroff, F. (eds) Continuum Thermomechanics. Solid Mechanics and Its Applications, vol 76. Springer, Dordrecht. https://doi.org/10.1007/0-306-46946-4_16

Download citation

  • DOI: https://doi.org/10.1007/0-306-46946-4_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6407-8

  • Online ISBN: 978-0-306-46946-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics