Behavior of Cracked Materials


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Due to their microstructure, quasi brittle materials present rough cracks. Under sliding of the crack lips, this roughness involves in one hand induced opening and in the other hand some apparent plasticity which is due to the interlocking of the crack lips combined with Coulomb’s friction. The proposed model is written under the irreversible thermodynamics framework. Micromechanics uses the Del Piero and Owen’s structured deformation theory. Opening of the crack depends upon the crack shape and the relative sliding of the crack lips. The thermodynamic force associated to the sliding has the mechanical meaning of the force acting in order to make the crack slide. Yield surface is defined as a limitation of this force with respect to the Coulomb’s friction and the Barenblatt cohesion. The crack orientation is defined as the one for which the criterion is reached for the lowest stress level. A decreasing cohesion, respect to sliding is supposed. Tension and compression reference cases are envisaged.



Key Engineering Materials (Volumes 348-349)

Edited by:

J. Alfaiate, M.H. Aliabadi, M. Guagliano and L. Susmel




M. François, "Behavior of Cracked Materials", Key Engineering Materials, Vols. 348-349, pp. 589-592, 2007

Online since:

September 2007





[1] G. DEL PIERO AND D. OWEN, Structured deformations of continua, Arch. Rational Mech. Anal., 124 (1993), pp.99-155.


[2] G. A. FRANCFORT AND J. J. MARIGO, Une approche variationnelle de la m´ecanique du d´efaut, ESAIM: Proceedings. Actes du 30 `eme Congr`es d'Analyse Num´erique : CANum' 98, 6 (1998), pp.57-94.


[3] M. FRANC¸OIS AND G. ROYER CARFAGNI, Structured deformation of damaged continua with cohesive-frictional sliding rough fractures, Eur. J. of Mech. A/Solids, 24 (2005), pp.644-660.


[4] H. KUPFER, H. K. HILSDORF, AND H. RUSCH, Behavior of concrete under biaxial stresses, ACI Journal, 66 (1969), pp.656-666.

[5] J. SCHMITTBUHL, S. ROUX, AND Y. BERTHAUD, Development of roughness in crack propagation, Europhys. Lett. 28, 28 (1994), pp.585-590.