The Mathematical Theory of Equilibrium Cracks in Brittle Fracture, Adv. Appl. Mech. pp, pp.55-129, 1962. ,
DOI : 10.1016/S0065-2156(08)70121-2
Initiation of fibre debonding in the pull-out problem, C. R. Acad. Sci. II b, vol.327, issue.10, pp.977-983, 1999. ,
An energy based analysis of the pull-out problem, European Journal of Mechanics - A/Solids, vol.22, issue.1, pp.55-69, 2003. ,
DOI : 10.1016/S0997-7538(02)01240-8
The variational approach to fracture', Journal of Elasticity, vol.91, pp.1-3, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00551079
Mécanique de la rupture fragile, 1978. ,
Revisiting Energy Release Rates in Brittle Fracture, Journal of Nonlinear Science, vol.187, issue.11, 2009. ,
DOI : 10.1007/s00332-010-9061-2
URL : https://hal.archives-ouvertes.fr/hal-00490537
Crack Initiation in Brittle Materials, Archive for Rational Mechanics and Analysis, vol.151, issue.4, pp.309-349, 2008. ,
DOI : 10.1007/s00205-007-0080-6
URL : https://hal.archives-ouvertes.fr/hal-00381652
Initiation of cracks with cohesive force models: a variational approach, European Journal of Mechanics - A/Solids, vol.25, issue.4, pp.649-669, 2006. ,
DOI : 10.1016/j.euromechsol.2006.05.002
URL : https://hal.archives-ouvertes.fr/hal-00551071
Mechanics of Brittle Fracture, Journal of Applied Mechanics, vol.49, issue.4, 1979. ,
DOI : 10.1115/1.3162675
Quasistatic Crack Growth in Nonlinear Elasticity, Archive for Rational Mechanics and Analysis, vol.9, issue.2, pp.165-225, 2005. ,
DOI : 10.1007/s00205-004-0351-4
A Model for the Quasi-Static Growth??of Brittle Fractures:??Existence and Approximation Results, Archive for Rational Mechanics and Analysis, vol.162, issue.2, pp.101-135, 2002. ,
DOI : 10.1007/s002050100187
One-Dimensional ductile-brittle transition, yielding and structured deformations, Proceedings of IUTAM Symposium " Variations de domaines etfrontì eres libres en mécanique, 1997. ,
Macro- and micro-cracking in one-dimensional elasticity, International Journal of Solids and Structures, vol.38, issue.6-7, pp.1135-1138, 2001. ,
DOI : 10.1016/S0020-7683(00)00078-0
Sur une Interpr??tation Math??matique de l'Int??grale de Rice en Th??orie de la Rupture Fragile, Mathematical Methods in the Applied Sciences, vol.III, issue.1, pp.70-87, 1981. ,
DOI : 10.1002/mma.1670030106
Yielding of steel sheets containing slits, Journal of the Mechanics and Physics of Solids, vol.8, issue.2, pp.100-108, 1960. ,
DOI : 10.1016/0022-5096(60)90013-2
Convex Analysis and Variational Problems, 1976. ,
DOI : 10.1137/1.9781611971088
Insensitivity to small defects of the rupture of materials governed by the Dugdale model, Continuum Mechanics and Thermodynamics, vol.15, issue.4, pp.3-4, 2007. ,
DOI : 10.1007/s00161-007-0051-z
URL : https://hal.archives-ouvertes.fr/hal-00551072
Existence and convergence for quasi-static evolution in brittle fracture, Communications on Pure and Applied Mathematics, vol.120, issue.10, pp.1465-1500, 2003. ,
DOI : 10.1002/cpa.3039
Revisiting brittle fracture as an energy minimization problem, Journal of the Mechanics and Physics of Solids, vol.46, issue.8, pp.1319-1342, 1998. ,
DOI : 10.1016/S0022-5096(98)00034-9
Existence results for a class of rate-independent material models with nonconvex elastic energies, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2006, issue.595, pp.55-91, 2006. ,
DOI : 10.1515/CRELLE.2006.044
Size Effects on Quasi-Static Growth of Cracks, SIAM Journal on Mathematical Analysis, vol.36, issue.6, pp.1887-1928, 2005. ,
DOI : 10.1137/S0036141004439362
The Phenomena of Rupture and Flow in Solids, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.221, issue.582-593, pp.163-198, 1920. ,
DOI : 10.1098/rsta.1921.0006
Elliptic problems in non smooth domains, No. 24 in Monographs and Studies in Mathematics, 1985. ,
Probì emes aux limites dans les polygones; Mode d'emploi'. EDF, Bulletin de la Direction desÉtudesdes´desÉtudes et, Recherches Série C, issue.1, pp.21-59, 1986. ,
Approche globale, minima relatifs et Crit??re d'Amor??age en??M??canique de la Rupture, Comptes Rendus M??canique, vol.332, issue.4, pp.313-318, 2004. ,
DOI : 10.1016/j.crme.2004.01.014
Fracture of Brittle Solids -Second Edition, Cambridge Solid State Science Series, 1993. ,
Calcul du taux de restitution de l'´ energie au voisinage d'une singularité, C. R. Acad. Sci. II b, vol.309, pp.945-950, 1990. ,
Constitutive relations in plasticity, damage and fracture mechanics based on a work property, Nuclear Engineering and Design, vol.114, issue.3, pp.249-272, 1989. ,
DOI : 10.1016/0029-5493(89)90105-2
Initiation and propagation of fracture in the models of Griffith and Barenblatt'. Continuum Mech, Therm, vol.16, issue.4, pp.391-409, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00111432
Evolution of Rate-Independent Systems, II of Handb. Differ. Equ, pp.461-559, 2005. ,
DOI : 10.1016/S1874-5717(06)80009-5
Some basic problems of mathematical theory of elasticity, Groningen: P. Noordhoff Ltd, 1963. ,
DOI : 10.1007/978-94-017-3034-1
Micromechanical modelling of interfacial decohesion, Ultramicroscopy, vol.40, issue.3, pp.203-214, 1992. ,
DOI : 10.1016/0304-3991(92)90117-3
A comparative analysis on variational models for quasi-static brittle crack propagation, Advances in Calculus of Variations, vol.3, issue.2, 2008. ,
DOI : 10.1515/acv.2010.008
QUASI-STATIC CRACK PROPAGATION BY GRIFFITH'S CRITERION, Mathematical Models and Methods in Applied Sciences, vol.18, issue.11, pp.1895-1925, 2008. ,
DOI : 10.1142/S0218202508003236
Stability and Nonlinear Solid Mechanics, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00105248
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks, Journal of Applied Mechanics, vol.35, issue.2, pp.379-386, 1968. ,
DOI : 10.1115/1.3601206