Nonuniform Transformation Field Analysis

@inproceedings{Michel2017NonuniformTF,
  title={Nonuniform Transformation Field Analysis},
  author={Jean-Claude Michel and Pierre Suquet},
  year={2017}
}
The exact description of the overall behavior of composites with nonlinear dissipative phases requires an infinity of internal variables. Approximate models involving only a finite number of those can be obtained by considering a decomposition of the microscopic anelastic strain field on a finite set of transformation fields. The Transformation Field Analysis of Dvorak (1992) corresponds to piecewise uniform transformation fields. The present theory considers nonuniform transformation fields… CONTINUE READING
Highly Cited
This paper has 30 citations. REVIEW CITATIONS
17 Citations
35 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 17 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 35 references

Towards a micromechanics based inelastic and damage modeling of composites

  • J. Chaboche, S. Kruch, J. Maire, T. Pottier
  • Int. J. Plasticity
  • 2001
Highly Influential
9 Excerpts

Constitutive relations involving internal variables based on a micromechanical analysis

  • J. Michel, U. Galvanetto, P. Suquet
  • In Continuum Thermomechanics: The Art and Science…
  • 2000
Highly Influential
4 Excerpts

Transformation field analysis of inelastic composite materials

  • G. Dvorak
  • Proc. R. Soc. Lond. A
  • 1992
Highly Influential
12 Excerpts

Computational plasticity for composite structures based on mathematical homogenization: Theory and practice

  • J. Fish, K. Shek, M. Pandheeradi, M. Shepard
  • Comput. Methods Appl. Mech. Engrg
  • 1997
Highly Influential
4 Excerpts

Effective properties of nonlinear composites

  • P. Suquet
  • In Continuum Micromechanics,
  • 1997
Highly Influential
5 Excerpts

On transformation strains and uniform fields in multiphase elastic media

  • G. Dvorak, Y. Benveniste
  • Proc. R. Soc. Lond. A
  • 1992
Highly Influential
9 Excerpts

Bounds on overall instantaneous properties of elastic-plastic composites

  • J. Teply, G. Dvorak
  • J. Mech. Phys. Solids
  • 1988
Highly Influential
4 Excerpts

Mécanique des matériaux solides

  • J. Lemaitre, J. Chaboche
  • 1988
Highly Influential
4 Excerpts

Local and global aspects in the mathematical theory of Plasticity

  • P. Suquet
  • In Plasticity Today: Modelling, Methods and…
  • 1985
Highly Influential
3 Excerpts

Plasticité classique et Viscoplasticité

  • J. Mandel
  • vol. 97 of CISM Lecture Notes. Springer-Verlag,
  • 1972
Highly Influential
1 Excerpt

Similar Papers

Loading similar papers…