L’approche énergétique de la rupture élastoplastique appliquée à la modélisation de propagation d’une entaille
Keywords:
cleavage fracture, plasticity, damage, energy approachAbstract
An energy release rate is defined for a crack represented by a notch, relying on the theory of Francfort and Marigo and Continuum Damage Mechanics. Progressive as well as sudden crack propagation can be predicted. The paradox of Rice and the spurious scale effects of Francfort and Marigo’s theory induced by Griffith’s hypothesis can be eliminated. The results obtained in the case of the analysis of the « warm pre-stress effect » are in good agreement with the experimental results.
Downloads
References
Bui H. D., « Solution explicite d’un modèle de frontière libre en élatoplasticité avec
endommagement », CRAS. t290, série IIb, 1980.
Francfort G., Marigo J.J.,. “Stable damage evolution in a brittle continuous medium”, Eur. J.
Mech. A/Solids, 12, 149-189, 1993.
Francfort G., Marigo. J.J., “Revisiting brittle fracture as an energy minimisation problem”, J.
Mech. Phys. Sol., 46, 1319-1342, 1998.
Laverne J., Lorentz E., Marigo J.J., « Un modèle de rupture avec énergie de Barenblatt :
considérations théoriques et implantations numériques », Proc. 16e Congrès français de
mécanique, 2003.
Lefèvre W., Barbier G., Masson R., Rousselier G. : A modified Beremin model to simulate
the warm pre-stress effect. N.E.A.D. : 15/02/2002.
Lorentz E., Andrieux S., “A variational formulation for nonlocal damage models”, Int. J.
Plast., 15, 119-138, 1999.
Lorentz E., Wadier Y., Debruyne G., « Mécanique de la rupture fragile en présence de
plasticité : définition d’un taux de restitution d’énergie », CRAS. t.328, série IIb, 2000.
Rice J. R.,. “An examination of the fracture mechanics energy balance from the point of view
of continuum mechanics”, Proc. 1st Int. Conf. Fracture, vol. 1, ed. Yokobori et al., 309-
, 1966.
Wadier Y., Bonnamy M., “The energy approach of elastoplastic fracture mechanics applied to
the analysis of the warm pre-stress effect”, ASME - PVP, Cleveland, USA, 2003.
Wadier Y., Bonnamy M., “Programme VOCALIST : the energy approach of elastoplastic
fracture mechanics applied to the analysis of the shallow crack effect”, ASME PVP,
Cleveland, USA, 2003.
