International Journal of Fracture

, Volume 166, Issue 1–2, pp 153–162 | Cite as

On a 3D micromechanical damage model

Original Paper


In the present contribution a 3D two-scale damage model is obtained by asymptotic-developments homogenization, assuming a locally periodic micro-crack distribution. At the microscopic level an energy-based propagation criterion is considered and the macroscopic damage equations are completely deduced through the change of scale procedure. We show that the new damage equations naturally capture microscopic lengths. Their presence in the macroscopic equations leads to size effects, which are investigated in the case of brittle and quasi-brittle damage. The differences with respect to previous results, concerning the 2D case, are pointed out.


Microcrack propagation Damage Homogenization Asymptotic developments Three-dimensional analysis Brittle/quasi-brittle materials 


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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Laboratoire Sols Solides Structures—Risques, UJF, INPG, CNRS UMR 5521Grenoble Cedex 9France

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