Etude de l’influence des défauts de petite taille sur le comportement à rupture avec le modèle de Dugdale régularisé
DOI:
https://doi.org/10.13052/REMN.17.481-493Keywords:
fracture, Regularized Dugdale’s model, scale effect, limit loadsAbstract
The goal of this work is to prove that, within the framework of Fracture Mechanics with the regularized Dugdale’s model of cohesive forces, the defects the size of which are small compared to the material characteristic length are practically without influence on the limit loads of structures. For that, we treat two examples : the case of a precracked plate, then the case of a plate with a circular hole. The calculations are made with the finite element method.
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References
Budiansky B., Evans A. G., Hutchinson J. W., “Fiber-matrix debonding effects oncracking in
aligned fiber ceramic composites", Int. J. Solids Structures, vol. 32, n° 3-4, 1995, p. 315–
Chaboche J.-L., Feyel F., Monerie Y., “Interface debonding models : a viscous regularization
with a limited rate dependency", Int. J. Solids Structures, vol. 38, n° 18, 2001, p. 3127–3160.
Charlotte M., Francfort G., Marigo J.-J., Truskinovsky L., “Revisiting brittle fracture as an
energy minimization problem : comparison of Griffith and Barenblatt surface energy models.",
in A. Benallal (ed.), Proceedings of the Symposium on Continuous Damage and
Fracture, Elsevier, Paris, 2000, p. 7–12.
Charlotte M., Laverne J., Marigo J.-J., “Initiation of cracks with cohesive force models : a
variational approach", Eur. J. Mech. A/Solids, vol. 25, n° 4, 2006, p. 649–669.
Del Piero G., “One-dimensional ductile-brittle transition, yielding, and structured deformations",
Variations of domain and free-boundary problems in solid mechanics (Paris, 1997),
vol. 66 of Solid Mech. Appl., Kluwer Acad. Publ., Dordrecht, 1999, p. 203–210.
Del Piero G., Truskinovsky L., “Macro- and micro-cracking in one-dimensional elasticity", Int.
J. Solids Structures, vol. 38, n° 6, 2001, p. 1135–1138.
Dugdale D. S., “Yielding of steel sheets containing slits", J. Mech. Phys. Solids, vol. 8, n° 2,
, p. 100–108.
Ferdjani H., Abdelmoula R., Marigo J.-J., « Etude de l’influence des défauts de petite taille sur
le comportement à rupture avec le modèle de Dugdale », Revue Européenne de Mécanique
Numérique, vol. 15, n° 4, 2006a, p. 409–425.
Ferdjani H., Abdelmoula R., Marigo J.-J., “Study of the influence of small size defects on the
rupture behavior with the Dugdale model.", Third International Conference on Advances in
Mechanical Engineering and Mechanics, 2006b.
Ferdjani H., Abdelmoula R., Marigo J.-J., “Insensitivity to small defects of the rupture of matarials
governed by the Dugdale model", Contin. Mech. Thermodyn., vol. 19, 2007, p. 191–
Laverne J., Marigo J.-J., « Approche globale, minima relatifs et Critère d’Amorçage en Mécanique
de la Rupture », Comptes Rendus Mécanique, vol. 332, n° 4, 2004, p. 313–318.
Needleman A., “A continuum model for void nucleation by inclusion debonding", J. Appl.
Mech., vol. 54, 1987, p. 525–531.
Needleman A., “An analysis of tensile decohesion along an interface", J. Mech. Phys. Solids,
vol. 38, n° 3, 1990, p. 289–324.
Needleman A., “Micromechanical modelling of interface decohesion", Ultramicroscopy, vol.
, 1992, p. 203–214.
Nguyen O., Repetto E. A., Ortiz M., Radovitzki R. A., “A cohesive model of fatigue crack
growth", Int. J. Frac. Mech., vol. 110, n° 4, 2001, p. 351–369.
Roe K. L., Siegmund T., “An irreversible cohesive zone model for interface fatigue crack growth
simulation", Engineering Frac. Mech., vol. 70, n° 2, 2002, p. 209–232.
Tvergaard V., “Effect of fiber debonding in a whisker-reinforced metal", Mat. Sci. Eng. A-Struc.,
vol. 125, 1990, p. 203–213.
Xie D., Waas A., “Discrete cohesive zone model for mixed-mode fracture using finite element
analysis", Engineering Frac. Mech., vol. 73, n° 13, 2006, p. 1783–1796.
