Comptes Rendus
no. 10
Analysis of the thermodynamic conditions for brittle fracture

Presented by: Évariste Sanchez-Palencia

Igor M. Dunaev1 ; Vladislav I. Dunaev2
1 MSD, Kuban State Technology University, Moskovskaya str. 2, Krasnodar, 350072, Russia
2 AMD, Kuban State University, Stavropolskaya str. 149, Krasnodar, 350040, Russia
Comptes Rendus. Mécanique, Volume 332 (2004) no. 10, pp. 789-794.

The analysis of the thermodynamic conditions for brittle fracture is given for the two known models of an isolated defect. In the first model the stresses on the external surface of the solid remain the same as before and after formation of a defect. In the second model the displacements on the external surface of the solid at a defect formation remain the same as in the solid without a defect. It is shown that the first model in the isothermal case of deformation leads to Griffith condition and the second model leads to the other proposed energy condition of fracture which, unlike the Griffith condition, contains an increment of the entropy component of the internal energy which is not zero in a general case.

On présente une analyse des conditions thermodynamiques pour la rupture fragile, dans le cadre des deux modèles du défaut isolé bien connus. Dans le premier modèle, on maintient les mêmes contraintes à la surface extérieure du solide avant et après l'apparition du défaut. Dans le deuxième modèle, ce sont les déplacements que l'on garde constants. Nous démontrons que le premier modèle conduit à la condition de Griffith dans le cas d'une déformation isothermique, tandis que le deuxième modèle produit une condition bien différente. Selon cette condition, les variations de l'entropie ne sont plus nulles, contrairement à la condition de Griffith.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2004.06.008
Keywords: Rupture, Energy condition, Internal energy, Entropy
Mots-clés : Rupture, Condition sur l'énergie, Energie interne, Entropie

Igor M. Dunaev 1; Vladislav I. Dunaev 2

1 MSD, Kuban State Technology University, Moskovskaya str. 2, Krasnodar, 350072, Russia
2 AMD, Kuban State University, Stavropolskaya str. 149, Krasnodar, 350040, Russia 
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Igor M. Dunaev; Vladislav I. Dunaev. Analysis of the thermodynamic conditions for brittle fracture. Comptes Rendus. Mécanique, Volume 332 (2004) no. 10, pp. 789-794. doi : 10.1016/j.crme.2004.06.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.06.008/

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