Damage Induced Elastic Anisotropy

  • J. P. Cordebois
  • F. Sidoroff
Conference paper


The concept of damage has been introduced by Rabotnov and Kachanov in 1958 for the description of creep rupture. Since then this concept has been used to account for various types of rupture occuring in metals and other kinds of solids: creep rupture, fatigue, plastic rupture. For the one-dimensional case a survey of the basic ideas as well as some recent results can be found in [1]. The three-dimensional case has been far less investigated and many conceptual problems remain to be solved. Most of these problems are related to the anisotropy of the damage and of the resulting properties, for instance the elastic response. This paper is devoted to an approach to these problems: a model will be presented for the description of the damage concept in the three-dimensional case and its consequences, as regards the induced elastic anisotropy, will be investigated in order to allow the evaluation of this model by comparison with experimental results or numerical simulation.


Elastic Response Elastic Anisotropy Damage Variable Traction Test Isotropic Damage 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    LEMAITRE J., J.L. CHABOCHE. — “Aspect phénoménologique de la rupture par endommagement”. Journal de Mécanique Appliquée, 2, 3 (1978): 317–365.Google Scholar
  2. [2]
    LEMAITRE J., J. DUFAILLY.—“Modération et identification de l’endommagement plastique des métaux”. 3e Congrès fraçais de mécanique, Grenoble, Septembre 1977.Google Scholar
  3. [3]
    CORDEBOIS J.P., F. SIDOROFF. — “Endommagement tridimensional en élasticité”. A paraître.Google Scholar
  4. [4]
    CHABOCHE J.L. — “Description thermodynamique et phénoménologique de la visco-plasticité cyclique avec écrouissage. Thèse, Université P. et M. Curie, 1978.Google Scholar
  5. [5]
    CORDEBOIS J.P. — Comportement et résistance des milieux métalliques multiperforés, Thèse de 3e Cycle, Université P. et M. Curie.Google Scholar
  6. [6]
    DUVAUT G. — “Analyse fonctionnelle et mécanique des milieux continus, Application à l’étude des matériaux composites élastiques à structure périodique. Homogénéisation”. In Theoretical and Applied Mechanics, I.U.TA.M. Congress Delft. W.T. Koiter, ed., Amsterdam: North Holland, 1976, pp. 119–132.Google Scholar
  7. [7]
    LENE F. — “Comportement macroscopique de matériaux élastiques comportant des inclusions rigides ou des trous répartis périodiquement”, C.RA.S., Paris, série A, 286 (1978): 75–78.MathSciNetzbMATHGoogle Scholar

Copyright information

© Martinus Nijhoff Publishers and Editions du CNRS 1982

Authors and Affiliations

  • J. P. Cordebois
    • 1
  • F. Sidoroff
    • 2
  1. 1.Laboratoire de Mécanique et TechnologieENSETCachanFrance
  2. 2.Laboratoire de Mécanique des SolidesÉcole Centrale de LyonEcullyFrance

Personalised recommendations