V. Acary and Y. Monerie, Nonsmooth fracture dynamics using a cohesive zone model, INRIA report n6032, p.56, 2006.

O. Allix, P. Ladevèze, and A. Corigliano, Damage analysis of interlaminar fracture specimens, Composite Structures, vol.31, issue.1, pp.61-74, 1995.
DOI : 10.1016/0263-8223(95)00002-X

R. Abdelmoula, J. Marigo, and T. Weller, Construction d'une loi de fatigue ?? partir d'un mod??le de forces coh??sives : cas d'une fissure en mode III, Comptes Rendus M??canique, vol.337, issue.1, pp.53-59, 2009.
DOI : 10.1016/j.crme.2008.12.001

R. Abdelmoula, J. Marigo, and T. Weller, Construction des lois de fatigue ?? partir de mod??les de forces coh??sives : cas de fissures en mode I, Comptes Rendus M??canique, vol.337, issue.3, pp.166-172, 2009.
DOI : 10.1016/j.crme.2009.04.002

G. Alfano and E. Sacco, Combining interface damage and friction in a cohesive-zone model, International Journal for Numerical Methods in Engineering, vol.42, issue.5, pp.542-582, 2006.
DOI : 10.1002/nme.1728

G. I. Barenblatt, The Mathematical Theory of Equilibrium Cracks in Brittle Fracture, Adv. Appl. Mechanics, vol.7, pp.55-129, 1962.
DOI : 10.1016/S0065-2156(08)70121-2

M. Barquins, Adherence, friction and wear of rubber-like materials. in: Wear and friction of elastomers, American Society for Testing and Materials, Philadelphia, pp.82-113, 1992.

M. J. Van-der-bosch, P. J. Schreurs, and M. G. Geers, A cohesive zone model with a large displacement formulation accounting for interfacial fibrilation, European Journal of Mechanics - A/Solids, vol.26, issue.1, pp.1-19, 2007.
DOI : 10.1016/j.euromechsol.2006.09.003

S. Brinckmann and S. Th, A cohesive zone model based on the micromechanics of dislocations, Modelling and Simulation in Materials Science and Engineering, vol.16, issue.6, p.19, 2008.
DOI : 10.1088/0965-0393/16/6/065003

M. Campillo and I. R. Ionescu, Initiation of antiplane shear instability under slip dependent friction, Journal of Geophysical Research: Solid Earth, vol.144, issue.4, pp.20363-20371, 1997.
DOI : 10.1029/97JB01508

L. Cangémi, Frottement et adhérence: modèle, traitement numérique et applicationàapplicationà l'interface fibre, Thesis, M. Raous (Adv.), Univ. Provence, 1997.

F. Cazes, M. Coret, A. Combescure, and A. Gravouil, A thermodynamic method for the construction of a cohesive law from a nonlocal damage model, International Journal of Solids and Structures, vol.46, issue.6, pp.1476-1490, 2009.
DOI : 10.1016/j.ijsolstr.2008.11.019

URL : https://hal.archives-ouvertes.fr/hal-01004956

F. Cazes, A. Simatos, M. Coret, and A. Combescure, A cohesive zone model which bis energetically equivalent to a gradient-enhanced coupled damageplasticity model, Eur. J. Mech. A/Solids, 2010.

M. Charlotte, J. Laverne, and J. Marigo, 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

M. Cocou, L. Cangemi, and M. Raous, Approximation Results for a Class of Quasistatic Contact Problems Including Adhesion and Friction, Proc. IUTAM Symposium on Variations de Domaines etFrontì eres Libres en Mécanique des, pp.211-218, 1999.
DOI : 10.1007/978-94-011-4738-5_25

M. Cocou and R. Rocca, Existence Results for Unilateral Quasistatic Contact Problems With Friction and Adhesion, ESAIM: Mathematical Modelling and Numerical Analysis, vol.34, issue.5, pp.981-1001, 2000.
DOI : 10.1051/m2an:2000112

M. Cocou and M. Raous, Adhesive contact and implicit evolution variational inequalities, in: Nonsmoooth/Nonconvex Mechanics with Applications in Engineering ? In memoriam of Prof, Ziti Publisher, pp.167-174, 2002.

M. Cocou, M. Schryve, and M. Raous, A dynamic unilateral contact problem with adhesion and friction in viscoelasticity, Zeitschrift f??r angewandte Mathematik und Physik, vol.146, issue.4, pp.721-743, 2010.
DOI : 10.1007/s00033-009-0027-x

URL : https://hal.archives-ouvertes.fr/hal-00461928

J. Chaboche, F. Feyel, and Y. Monerie, Interface debonding models: a viscous regularization with a limited rate dependency, International Journal of Solids and Structures, vol.38, issue.18, pp.3127-3160, 2001.
DOI : 10.1016/S0020-7683(00)00053-6

F. Costanzo and J. R. Walton, A study of dynamic crack growth in elastic materials using a cohesive zone model, International Journal of Engineering Science, vol.35, issue.12-13, pp.12-13, 1997.
DOI : 10.1016/S0020-7225(97)00030-X

D. Boorst, R. Remmers, J. J. Needlman, and A. , Mesh-independent discrete numerical representations of cohesive-zone models, Engineering Fracture Mechanics, vol.73, issue.2, pp.160-177, 2006.
DOI : 10.1016/j.engfracmech.2005.05.007

D. Piero, G. Raous, and M. , A unified model for adhesive interfaces with damage, viscosity, and friction, European Journal of Mechanics - A/Solids, vol.29, issue.4, pp.496-507, 2010.
DOI : 10.1016/j.euromechsol.2010.02.004

URL : https://hal.archives-ouvertes.fr/hal-00462116

J. H. Dieterich, Time dependant friction and the mecchanics of stick-slip, Pure Appl, Geophys, vol.116, pp.4-5, 1978.

F. Dubois and M. Jean, Une plateforme de développement dédiée la modélisation desprobì emes d'interaction, Proc VI Coll. Nat. Calcul de Struct. V1, Giens, pp.111-118, 2003.

D. S. Dugdale, Yielding of steel sheets containing slits, Journal of the Mechanics and Physics of Solids, vol.8, issue.2, pp.100-104, 1960.
DOI : 10.1016/0022-5096(60)90013-2

H. D. Espinosa and P. D. Zavattieri, A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part I: Theory and numerical implementation, Mechanics of Materials, vol.35, issue.3-6, pp.333-364, 2003.
DOI : 10.1016/S0167-6636(02)00285-5

G. Festa, J. Vilotte, M. Raous, and C. Henninger, Scale-Dependent Friction and Damage Interface law: implications for effective earthquake rupture dynamics and radiation, Geophysical Research Abstracts, vol.12, 2010.

G. Festa, J. Vilotte, and M. Raous, Nucleation length in an adhesive-frictional interface under nonuniform fault loading condition

F. Fouchal, F. Lebon, and I. Titeux, Contribution to the modelling of interfaces in masonry construction, Construction and Building Materials, vol.23, issue.6, pp.2428-2441, 2009.
DOI : 10.1016/j.conbuildmat.2008.10.011

URL : https://hal.archives-ouvertes.fr/hal-00097711

F. Freddi and M. Frémond, Damage in domains and interfaces: a coupled predictive theory, Journal of Mechanics of Materials and Structures, vol.1, issue.7, pp.1205-1234, 2006.
DOI : 10.2140/jomms.2006.1.1205

M. Frémond, Adhérence des solides, J. Méc. Théor. Appl, vol.6, issue.3, pp.383-407, 1987.

M. Frémond, Contact with adhesion, Nonsmooth Mechanics and Applications, CISM Courses and Lectures, pp.177-221, 1988.

M. Frémond, Non-smooth thermodynamics, 2001.

M. Frémond and B. Nedjar, Damage, gradient of damage and principle of virtual power, International Journal of Solids and Structures, vol.33, issue.8, pp.1083-1103, 1996.
DOI : 10.1016/0020-7683(95)00074-7

M. G. Geers, R. De-borst, W. A. Brekelmans, and R. H. Peerlings, Validation and internal length scale determination for a gradient damage model: application to short glass-fibre-reinforced polypropylene, International Journal of Solids and Structures, vol.36, issue.17, pp.2557-2583, 1999.
DOI : 10.1016/S0020-7683(98)00123-1

I. Goryacheva and Y. Makhovskaya, Adhesion effects in contact interaction of solids, Comptes Rendus M??canique, vol.336, issue.1-2, pp.118-125, 2088.
DOI : 10.1016/j.crme.2007.11.003

J. A. Greenwood, Adhesion of elastic spheres, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.453, issue.1961, pp.1277-1297, 1997.
DOI : 10.1098/rspa.1997.0070

A. Jaubert and J. Marigo, Justification of Paris-type Fatigue Laws from Cohesive Forces Model via a Variational Approach, Continuum Mechanics and Thermodynamics, vol.38, issue.9, pp.23-45, 2006.
DOI : 10.1007/s00161-006-0023-8

URL : https://hal.archives-ouvertes.fr/hal-00551069

K. L. Johnson, K. Kendall, and A. D. Roberts, Surface Energy and the Contact of Elastic Solids, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.324, issue.1558, pp.301-313, 1971.
DOI : 10.1098/rspa.1971.0141

K. L. Jonhson and H. M. Pollock, The role of adhesion in the impact of elastic spheres, Journal of Adhesion Science and Technology, vol.12, issue.11, pp.1323-1332, 1994.
DOI : 10.1163/156856194X00636

K. L. Jonhson, Contact mechanics, 1985.

M. Jean, The non-smooth contact dynamics method, Computer Methods in Applied Mechanics and Engineering, vol.177, issue.3-4, pp.3-4, 1999.
DOI : 10.1016/S0045-7825(98)00383-1

URL : https://hal.archives-ouvertes.fr/hal-01390459

M. Jean, V. Acary, and Y. Monerie, Non-smooth contact dynamics approach of cohesive materials, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.359, issue.1789, pp.2497-2518, 1789.
DOI : 10.1098/rsta.2001.0906

URL : https://hal.archives-ouvertes.fr/inria-00423556

F. Lebon, A. Ould-khaoua, and C. Licht, Numerical study of soft adhesively bonded joints in finite elasticity, Computational Mechanics, vol.21, issue.2, pp.134-140, 1998.
DOI : 10.1007/s004660050289

F. Lebon, R. Rizzoni, and S. Ronel-idrissi, Asymptotic analysis of some non-linear soft thin layers, Computers & Structures, vol.82, issue.23-26, pp.1929-1938, 2004.
DOI : 10.1016/j.compstruc.2004.03.074

J. Lemaitre, Formulation de l'endommagement des interfaces, CRAS, vol.315, pp.1047-1050, 1992.

C. Licht and G. Miraille, A modelling of elastic adhesive bonded joints, Adv. Math. Sci. Appl, vol.7, pp.711-740, 1997.
URL : https://hal.archives-ouvertes.fr/hal-00514578

E. Lorentz, A mixed inteface finite element for cohesive zone models, Comput. Methods Appl. Mech. Engrg, vol.198, pp.320-317, 2008.

J. Marigo and L. Truskinovsky, Initiation and propagation of fracture in the models of Griffith and Barenblatt, Continuum Mechanics and Thermodynamics, vol.16, issue.4, pp.391-409, 2004.
DOI : 10.1007/s00161-003-0164-y

URL : https://hal.archives-ouvertes.fr/hal-00111432

D. Maugis, Adhesion of spheres: The JKR-DMT transition using a dugdale model, Journal of Colloid and Interface Science, vol.150, issue.1, pp.243-269, 1992.
DOI : 10.1016/0021-9797(92)90285-T

D. Maugis and M. Barquins, Fracture Mechanics and Adherence of Viscoelastic Solids, pp.20-277, 1980.
DOI : 10.1007/978-1-4613-3093-6_17

J. C. Michel and P. Suquet, An analytical and numerical study of the overall behaviour of metal-matrix composites, Modelling and Simulation in Materials Science and Engineering, vol.2, issue.3A, pp.637-658, 1994.
DOI : 10.1088/0965-0393/2/3A/015

N. Moës, C. Stolz, P. Bernard, and N. Chevaugeon, A level set based model for damage growth: The thick level set approach, International Journal for Numerical Methods in Engineering, vol.61, issue.1, 2010.
DOI : 10.1002/nme.3069

Y. Monerie, Fissuration des matériaux composites: rôle de l'interface fibre, Thesis, M. Raous (Adv.), Univ. Provence, 2000.

Y. Monerie and V. Acary, Formulation dynamique d'un modèle de zone cohésive tridimensionnelle couplant endommagement et frottement, Revue Européenne des Eléments Finis, pp.489-504, 2001.

Y. Monerie, M. Raous, F. H. Leroy, O. Suder, F. Feyel et al., Comparaison de lois d'interface fibre/matrice sur la base d'un modèle uniaxial d'expérience de micro-indentation, Proceedings 11 i` eme Journées Nationales sur les Composites, pp.565-574, 1998.

Y. Monerie and M. Raous, A model coupling adhesion to friction for the interaction between a crack and a fiber/matrix interface, pp.205-209, 2000.

J. Moreau, Unilateral Contact and Dry Friction in Finite Freedom Dynamics, CISM Courses and lectures 302, pp.1-82, 1988.
DOI : 10.1007/978-3-7091-2624-0_1

A. Needleman, A Continuum Model for Void Nucleation by Inclusion Debonding, Journal of Applied Mechanics, vol.54, issue.3, pp.525-531, 1987.
DOI : 10.1115/1.3173064

A. Needleman, An analysis of tensile decohesion along an interface, Journal of the Mechanics and Physics of Solids, vol.38, issue.3, pp.289-324, 1990.
DOI : 10.1016/0022-5096(90)90001-K

A. Needleman, Micromechanical modelling of interfacial decohesion, Ultramicroscopy, vol.40, issue.3, pp.203-214, 1992.
DOI : 10.1016/0304-3991(92)90117-3

A. Needleman and A. J. Rosakis, The effect of bond strength and loading rate on the conditions governing the attainment of intersonic crack growth along interfaces, Journal of the Mechanics and Physics of Solids, vol.47, issue.12, pp.2411-2449, 1999.
DOI : 10.1016/S0022-5096(99)00012-5

C. Nguyen and A. J. Levy, An exact theory of interfacial debonding in layered elastic composites, International Journal of Solids and Structures, vol.46, issue.13, pp.2712-2723, 2009.
DOI : 10.1016/j.ijsolstr.2009.03.005

I. Ozemir, W. A. Brekelmans, and M. G. Geers, A Thermo-mechanical cohesive zone model, Computational Mechanics, vol.35, issue.2, pp.735-745, 2010.
DOI : 10.1007/s00466-010-0507-z

A. C. Palmer and J. R. Rice, The Growth of Slip Surfaces in the Progressive Failure of Over-Consolidated Clay, Proc. Roy. Soc. Lond. A. 332, pp.527-548, 1973.
DOI : 10.1098/rspa.1973.0040

F. Péraì-es, Fissuration des matériauxmatériauxà gradient de propriétés, 2005.

R. H. Peerlings, R. De-borst, W. A. Brekelmans, and J. H. De-vree, GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS, International Journal for Numerical Methods in Engineering, vol.23, issue.19, pp.3391-3403, 1996.
DOI : 10.1002/(SICI)1097-0207(19961015)39:19<3391::AID-NME7>3.0.CO;2-D

R. H. Peerlings, R. De-borst, W. A. Brekelmans, and M. G. Geers, Gradient-enhanced damage modelling of concrete fracture, Mechanics of Cohesive-frictional Materials, vol.48, issue.4, pp.323-342, 1998.
DOI : 10.1002/(SICI)1099-1484(1998100)3:4<323::AID-CFM51>3.0.CO;2-Z

M. Raous and S. Barbarin, Preconditioned conjugate gradient method for a unilateral problem with friction, in: Contact Mechanics, Press. Polytech. et Univ. Romandes, pp.423-432, 1992.

M. Raous, Quasistatic Signorini Problem with Coulomb Friction and Coupling to Adhesion, CISM Courses & Lect, pp.101-178, 1999.
DOI : 10.1007/978-3-7091-2496-3_3

M. Raous, L. Cangémi, and M. Cocou, Un mod??le couplant adh??rence et frottement pour le contact entre deux solides d??formables, Série II b, pp.503-509, 1997.
DOI : 10.1016/S1251-8069(97)89074-4

M. Raous, L. Cangémi, and M. Cocou, A consistent model coupling adhesion, friction, and unilateral contact, Computer Methods in Applied Mechanics and Engineering, vol.177, issue.3-4, pp.383-399, 1999.
DOI : 10.1016/S0045-7825(98)00389-2

M. Raous and Y. Monerie, Unilateral contact, friction and adhesion in composite materials, Contact Mechanics, pp.333-346, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00166138

M. Raous, M. Schryve, and M. Cocou, Restorable adhesion and friction, in: Nonsmooth/Nonconvex Mechanics with Applications in Engineering, Baniotopoulos, pp.165-172, 2006.

M. Raous and M. A. Karray, Model coupling friction and adhesion for steel concrete interfaces, International Journal of Computer Applications in Technology, vol.34, issue.1, pp.42-51, 2009.
DOI : 10.1504/IJCAT.2009.022701

URL : https://hal.archives-ouvertes.fr/hal-00097651

A. Rekik and F. Lebon, Identification of the representative crack length evolution in a multi-level interface model for quasi-brittle masonry, International Journal of Solids and Structures, vol.47, issue.22-23, pp.3011-3021, 2010.
DOI : 10.1016/j.ijsolstr.2010.06.024

URL : https://hal.archives-ouvertes.fr/hal-00589976

J. R. Rice and A. L. Ruina, Stability of Steady Frictional Slipping, Journal of Applied Mechanics, vol.50, issue.2, pp.343-349, 1983.
DOI : 10.1115/1.3167042

M. Samimi, J. A. Van-dommelen, and M. G. Geers, An enriched cohesive zone model for delamination in brittle interfaces, International Journal for Numerical Methods in Engineering, vol.54, issue.5, pp.609-630, 2009.
DOI : 10.1002/nme.2651

M. Schryve, Modéle dadhésion cicatrisante et applications au contact verre, 2000.

D. Sheng, P. Wriggers, and S. W. Sloan, Application of Frictional Contact in Geotechnical Engineering, International Journal of Geomechanics, vol.7, issue.3, 2007.
DOI : 10.1061/(ASCE)1532-3641(2007)7:3(176)

G. Sperling, Eine Theorie der Haftung von Feststoffteilchen an festen Korpern, 1964.

C. Talon and A. Curnier, A model of adhesion coupled to contact and friction, European Journal of Mechanics - A/Solids, vol.22, issue.4, pp.545-565, 2003.
DOI : 10.1016/S0997-7538(03)00046-9

N. Terfaya, M. Raous, and A. Berga, Cohesive zone model and bipotential formulation : application to a pile/soil interface, Proceedings 3rd Euro Mediterranean Symposium on Advances in Geomaterials and Structures, p.6, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00466596

S. Stupkiewicz, Fiber sliding model accounting for interfacial microdilatancy , Mech, Materials, vol.22, pp.65-84, 1996.

M. G. Tijssens, L. J. Sluys, and E. Van-der-giessen, Numerical simulation of quasi-brittle fracture using damaging cohesive surfaces, European Journal of Mechanics - A/Solids, vol.19, issue.5, pp.761-779, 2000.
DOI : 10.1016/S0997-7538(00)00190-X

V. Tvergaard, Effect of fibre debonding in a whisker-reinforced metal, Materials Science and Engineering: A, vol.125, issue.2, pp.203-213, 1990.
DOI : 10.1016/0921-5093(90)90170-8

V. Tvergaard and J. W. Hutchinson, The relation between crack growth resistance and fracture process parameters in elastic-plastic solids, Journal of the Mechanics and Physics of Solids, vol.40, issue.6, pp.1377-1397, 1992.
DOI : 10.1016/0022-5096(92)90020-3

V. Tvergaard and J. W. Hutchinson, Effect of strain-dependent cohesive zone model on predictions of crack growth resistance, International Journal of Solids and Structures, vol.33, issue.20-22, pp.3297-3308, 1996.
DOI : 10.1016/0020-7683(95)00261-8

K. Uenishi and J. R. Rice, Universal nucleation length for slip-weakening rupture instability under non uniform fault loading, J. Geophys. Res, vol.108, issue.B1, pp.10-1029, 2003.

N. Valoroso and L. Champaney, A damage-mechanics-based approach for modelling decohesion in adhesively bonded assemblies, Engineering Fracture Mechanics, vol.73, issue.18, pp.2774-2801, 2006.
DOI : 10.1016/j.engfracmech.2006.04.029

URL : https://hal.archives-ouvertes.fr/hal-00109715

N. Valoroso and M. Raous, in preparation. Gradient of damage enhancement for an interface model

X. Xu and A. Needleman, Numerical simulations of fast crack growth in brittle solids, Journal of the Mechanics and Physics of Solids, vol.42, issue.9, pp.1397-1434, 1994.
DOI : 10.1016/0022-5096(94)90003-5