Skip to main content
Log in

Some numerical simulations of large deformations of heterogeneous hyperelastic media

  • Original Paper
  • Published:
Computational Mechanics Aims and scope Submit manuscript

Abstract

Numerical experiments done on a two-dimensional stratified two-phase composite corroborate theoretical results on homogeneization of media capable of large deformations.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Barboteu M, Alart P and Pagano S (2002). Modélisation de problèmes non linéaires de grande taille : grandes déformations et autocontact dans un milieu cellulaire. Revue Européenne des Eléments 2-3-4: 447–461

    Article  Google Scholar 

  2. Bensoussan A, Lions J and Papanicolaou G (1978). Asymptotic analysis for periodic structures. North-Holland, Amsterdam

    MATH  Google Scholar 

  3. Braides A (1985). Homogenization of some almost periodic coercive functionals. Rend Accad Naz XL 9: 313–322

    MATH  MathSciNet  Google Scholar 

  4. Ciarlet P (1988). Three-dimensional elasticity. North-Holland, Amsterdam

    MATH  Google Scholar 

  5. Ciarlet P and Geymonat G (1982). Sur les lois de comportement en élasticité non linéaire compressible. CR Acad Sci Paris Série II 295: 423–426

    MATH  MathSciNet  Google Scholar 

  6. Curnier A (1993). Méthodes numériques en mécanique des solides, 1st edn. Presses polytechniques et universitaires romandes, Suisse

    MATH  Google Scholar 

  7. Debordes O (2001). Cours sur l’homogénéisation périodique. Tech. rep., EGIM, Marseille

    Google Scholar 

  8. Dhatt G and Touzot G (1984). Une présentation de la méthode des éléments finis, 2nd edn. Maloine S.A., Paris

    Google Scholar 

  9. Duvaut G (1978). Analyse fonctionnelle et mécanique des milieux continus, applications à l’étude des matériaux composites élastiques à structure périodique, homogénéisation. In: Koiter, W (eds) Theoretical and applied mechanics, pp 119–131. North-Holland, Amsterdam

    Google Scholar 

  10. Marcellini P (1978). Periodic solution and homogenization of non linear variationnal problems. Math Mod Num Anal 28: 139–152

    MathSciNet  Google Scholar 

  11. Müller S (1987). Homogeneization of non convex integral functionals and cellular elastic materials. Arch Rational Mech Anal 99: 198–212

    Article  Google Scholar 

  12. Pagano S, Alart P (2007) Self-contact and fictitious domain by a difference convex approach. Int J Numer Methods Eng (in press)

  13. Sanchez-Palencia E (1980) Non-homogeneous media and vibration theory. No. 127 in Lect. Notes in Physics, Heidelberg

  14. Suquet P (1982) Plasticité et homogénéisation. Thèse de doctorat d’état, Université Pierre et Marie Curie

  15. Tartar L (1977) Problèmes d’homogénéisation dans les équations aux dérivées partielles. Tech Rep, Cours Peccot, Collège de France, Paris

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Stéphane Pagano.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aubert, P., Licht, C. & Pagano, S. Some numerical simulations of large deformations of heterogeneous hyperelastic media. Comput Mech 41, 739–746 (2008). https://doi.org/10.1007/s00466-007-0229-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00466-007-0229-z

Keywords

Navigation