On the Microstructural Origin of Certain Inelastic Models, Journal of Engineering Materials and Technology, vol.106, issue.4, p.326330, 1984. ,
DOI : 10.1115/1.3225725
The physics of plastic deformation, International Journal of Plasticity, vol.3, issue.3, p.211247, 1987. ,
DOI : 10.1016/0749-6419(87)90021-0
A compactness theorem for a new class of functions of bounded variation, Bollettino dell'Unione Matematica Italiana, p.857881, 1989. ,
Existence theory for a new class of variational problems. Archives of Rational Mechanics and Analysis, p.291322, 1990. ,
Energies in SBV and variational models in fracture mechanics, Homogenization and Applications to Material Sciences, p.122, 1997. ,
An analysis of strong discontinuities in multiplicative nite strain plasticity and their relation with the numerical simulation of strain localization in solids, International Journal of Solids and Structures, vol.33, p.28632885, 1996. ,
A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.26-27, p.28232843, 2003. ,
DOI : 10.1016/S0045-7825(03)00260-3
The Mathematical Theory of Equilibrium Cracks in Brittle Fracture, Advances in Applied Mechanics, p.55129, 1962. ,
DOI : 10.1016/S0065-2156(08)70121-2
Instability, ductility and size-eect in strain-softening concrete, Journal of Engineering Mechanics/ASCE, vol.102, p.331344, 1976. ,
Mechanics of distributed cracking, Applied Mechanics Reviews, vol.39, p.675705, 1986. ,
Stability of Dtructures: Elastic, Inelastic, Fracture and Damage Theories, Martinus Nijho, 1986. ,
Nonlocal model based on crack interactions: A localization study, Journal of Engineering Materials and Technology, vol.116, pp.256-259, 1994. ,
Nonlocal Integral Formulations of Plasticity and Damage: Survey of Progress, Journal of Engineering Mechanics, vol.128, issue.11, pp.1119-1149, 2002. ,
DOI : 10.1061/(ASCE)0733-9399(2002)128:11(1119)
Blunt crack propagation in nite element analysis, Journal of Engineering Mechanics/ASCE, vol.105, p.297315, 1979. ,
Nonlocal continuum damage, localization instability and convergence, Journal of Applied Mechanics, vol.55, p.287293, 1988. ,
Fracture and Size Eect in Concrete and Other Quasibrittle Materials, 1998. ,
Dislocation Nucleation versus Cleavage Decohesion at Crack Tips, Modeling the Deformation of Crystalline Solids: Physical Theory, Application and Experimental Comparisons, p.457480, 1991. ,
An overview of semidiscretization and time integration procedures, Computational Methods for Transient Analysis, p.165, 1983. ,
A nite element with embedded localization zones, Computer Methods in Applied Mechanics and Engineering, vol.70, p.5989, 1988. ,
Energy scaling of compressed elastic lms. Archives of Rational Mechanics and Analysis, p.137, 2002. ,
The simply laminated microstructure in martensitic crystals that undergo a cubic-to-orthorhombic phase transformation. Archives of Rational Mechanics and Analysis, p.123154, 1999. ,
Mixed mode fracture of concrete, International Journal of Solids and Structures, vol.27, issue.9, p.11391153, 1991. ,
DOI : 10.1016/0020-7683(91)90115-V
A global method for relaxation. Archives of Rational Mechanics and Analysis, p.5198, 1998. ,
Numerical experiment in revised brittle fracture Journal of the Mechanics and Physics of Solids A 3-dimensional analysis of crack trapping and bridging by tough particles, Journal of the Mechanics and Physics of Solids, vol.48, issue.39, pp.797826815-858, 1991. ,
The inuence of grain size on the toughness of monolithic ceramics, Transactions of the ASME, vol.115, p.228236, 1993. ,
Integral representation results for functionals dened on SBV, SISSA ISAS, p.131, 1994. ,
Homogenization of multiple integrals, 1998. ,
Homogenization of free discontinuity problems. Archives of Rational Mechanics and Analysis, p.297356, 1996. ,
Computational modelling of impact damage in brittle materials, International Journal of Solids and Structures, vol.33, issue.20-22, p.28992938, 1996. ,
DOI : 10.1016/0020-7683(95)00255-3
Adaptive Lagrangian modelling of ballistic penetration of metallic targets, Computer Methods in Applied Mechanics and Engineering, vol.142, issue.3-4, p.269301, 1997. ,
DOI : 10.1016/S0045-7825(96)01134-6
Mechanical Damage and Crack Growth in Concrete, Martinus Nijho, 1986. ,
DOI : 10.1007/978-94-009-4350-6
Dynamic compressive behavior of ceramics under lateral connement, Journal de Physique IV, vol.4, p.177182, 1994. ,
Static and dynamic compressive behavior of aluminum nitride under moderate connement, Journal of the American Ceramic Society, vol.79, p.579584, 1996. ,
An experimental technique for imposing dynamic multiaxial compression with mechanical connement, Experimental Mechanics, vol.36, p.155158, 1996. ,
Failure mode transition in ceramics under dynamic multiaxial compression, International Journal of Fracture, vol.101, p.141159, 2000. ,
Modeling the eective conductivity function of an arbitrary 2-dimensional polycrystal using sequential laminates, Proceedings of the Royal Society of Edinburgh A, vol.124, p.757783, 1994. ,
Experimental observations of intersonic crack growth in asymmetrically loaded unidirectional composite plates, Philosophical Magazine A, vol.85, issue.3, p.571595, 2001. ,
DOI : 10.1007/BF00036631
Computational modelling of gradient???enhanced damage in quasi???brittle materials, Mechanics of Cohesive and Frictional Materials, p.1736, 1999. ,
DOI : 10.1002/(SICI)1099-1484(199901)4:1<17::AID-CFM55>3.0.CO;2-6
Dislocation microstructures and the eective behavior of single crystals. Archives of Rational Mechanics and Analysis, p.103147, 2005. ,
Some aspects of interlaminar degradation in composites, Computer Methods in Applied Mechanics and Engineering, vol.185, issue.2-4, p.203224, 2000. ,
DOI : 10.1016/S0045-7825(99)00260-1
URL : https://hal.archives-ouvertes.fr/hal-01745221
Numerical modeling of rate-dependent debonding processes in composites, Composite Structures, vol.61, issue.1-2, p.3950, 2003. ,
DOI : 10.1016/S0263-8223(03)00030-8
Numerical analysis of rate-dependent dynamic composite delamination, Composites Science and Technology, vol.66, issue.6, pp.766-775, 2006. ,
DOI : 10.1016/j.compscitech.2004.12.031
Rate-dependent interface models: formulation and numerical applications, International Journal of Solids and Structures, vol.38, issue.4, pp.547-576, 1999. ,
DOI : 10.1016/S0020-7683(00)00088-3
URL : http://www.stru.polimi.it/home/corigliano/I.16.pdf
Théorie de Corps Deformables, 1909. ,
A material-independent method for extending stress update algorithms from small-strain plasticity to nite plasticity with multiplicative kinematics, Engineering Computations, vol.9, p.437451, 1992. ,
Direct methods in the calculus of variations, 1989. ,
DOI : 10.1007/978-3-642-51440-1
An introduction to ?-convergence, 1993. ,
Quasistatic crack growth in nonlinear elasticity. Archives of Rational Mechanics and Analysis, p.165225, 2005. ,
A model for the quasi-static growth of brittle fracture: existence and approximation results, Archives of Rational Mechanics and Analysis, vol.162, p.101135, 2002. ,
Elastoplastic nite element analysis of three-dimensional fatigue crack growth in aluminum shafts subjected to axial loading A generalization of J2-ow theory for polar continua, International Journal of Solids and Structures Computer Methods in Applied Mechanics and Engineering, vol.36, issue.103, p.22313358347362, 1993. ,
Some recent developments in computational modelling of concrete fracture, International Journal of Fracture, vol.86, p.536, 1997. ,
Gradient-dependend plasticity. Formulation and algorithmic aspects, International Journal for Numerical Methods in Engineering, vol.35, p.521539, 1992. ,
On gradient-enhanced damage and plasticity models for failure in quasi-brittle and frictional materials, Computational Mechanics, vol.87, issue.1-2, p.130141, 2001. ,
DOI : 10.1007/BF00356485
Un nuovo funzionale del calcolo delle variazioni. Atti dell'Accademia Nazionale dei Lincei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali, 1988. ,
Existence theorem for a minimum problem with free discontinuity set. Archives of Rational Mechanics and Analysis, p.105218, 1989. ,
Su un tipo di convergenza variazionale Atti dell'Accademia Nazionale dei Lincei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali, p.842850, 1975. ,
Young measure solutions for nonlinear evolutionary systems of mixed type. Annales de L'Institute Henri Poincaré d'Analyse Non Linéaire, p.143162, 1997. ,
Numerical Computation of Rank-One Convex Envelopes, SIAM Journal on Numerical Analysis, vol.36, issue.5, p.16211635, 1999. ,
DOI : 10.1137/S0036142997325581
Fracture process zone for concrete for dynamic loading, ACI Materials Journal, vol.89, pp.252-258, 1992. ,
Yielding of steel sheets containing slits, Journal of the Mechanics and Physics of Solids, vol.8, issue.2, p.100104, 1960. ,
DOI : 10.1016/0022-5096(60)90013-2
The equivalent elastic crack: 1. Load-Y equivalences, International Journal of Fracture, vol.55, issue.2, p.159172, 1993. ,
DOI : 10.1007/BF00012455
A critical evaluation of cohesive zone models of dynamic fracture, Journal de Physique IV, vol.11, issue.PR5, p.4350, 2001. ,
Modeling the deformation of crystalline solids: Physical theory, application and experimental comparisons, Ballistic Impact of Ceramics, Institute of Physics Conference Series No 102: Session 7, 1989. ,
A reformulation of strain gradient plasticity, Journal of the Mechanics and Physics of Solids, vol.49, issue.10, p.22452271, 2001. ,
DOI : 10.1016/S0022-5096(01)00049-7
Relaxation in BV versus quasiconvexication in W 1,p ; a model for the interaction between fracture and damage. Calculus of Variations, p.407446, 1995. ,
Revisiting brittle fracture as an energy minimization problem, Journal of the Mechanics and Physics of Solids, vol.46, issue.8, p.13191342, 1998. ,
DOI : 10.1016/S0022-5096(98)00034-9
Sets of conductivity and elasticity tensors stable under lamination composite-materials with poisson ratios close to -1, Communications on Pure and Applied Mathematics, vol.47, p.257279, 1992. ,
Implicit Time Discretization and Global Existence for a Quasi-Linear Evolution Equation with Nonconvex Energy, SIAM Journal on Mathematical Analysis, vol.28, issue.2, p.363380, 1997. ,
DOI : 10.1137/S0036141095285958
Caracterización Mecánica de Materiales Cerámicos Avanzados a Altas Velocidades de Deformación, Mechanical Characterization of Advanced Ceramics at High Strain Rates Spanish), 1999. ,
Inuence of the strain rate on the tensile strength in aluminas of dierent purity, Journal de Physique IV, vol.10, p.323328 ,
Tensile Strength Measurements of Ceramic Materials at High Rates of Strain, Le Journal de Physique IV, vol.07, issue.C3, p.151156, 1997. ,
DOI : 10.1051/jp4:1997328
Modeling 3D crack propagation in unreinforced concrete using PUFEM, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.25-26, p.28592896, 2005. ,
DOI : 10.1016/j.cma.2004.07.025
The phenomena of rupture and ow in solids, Philosophical Transactions of the Royal Society of London A, vol.221, p.163197, 1921. ,
Dynamic mixed mode fracture of concrete Fracture process zone modeling of monolithic Al 2 O 3, International Journal of Solids and Structures Engineering Fracture Mechanics, vol.32, issue.63, pp.25912607115-129, 1995. ,
Grain Boundary Phases and Wake Zone Characterization in Monolithic Alumina, Journal of the American Ceramic Society, vol.66, issue.12, pp.1025-1032, 1995. ,
DOI : 10.1016/0001-6160(80)90062-0
Analysis of crack formation and crack growth in concrete by means of fracture mechanics and nite elements, Cement Concrete Resarch, vol.6, p.773782, 1976. ,
Geometric and Solid Modeling, 1989. ,
Numerical analysis of high strain rate splitting-tensile tests, Computers & Structures, vol.47, issue.4-5, p.653671, 1993. ,
DOI : 10.1016/0045-7949(93)90349-I
Analysis of transient algorithms with particular reference to stability behavior, Computational Methods for Transient Analysis, p.67155, 1983. ,
Stresses in a plate dur to the presence of cracks and sharp corners, Trans. Inst. Naval Arch, p.219230, 1913. ,
Analysis of stresses and strains near the end of a crack traversing a plate, Journal of Applied Mechanics, vol.79, p.361364, 1957. ,
Comparative study of nite elements with embedded discontinuities, Computer Methods in Applied Mechanics and Engineering, vol.188, p.307330, 2000. ,
On energy-based coupled elastoplastic damage theories: Constitutive modeling and computational aspects, International Journal of Solids and Structures, vol.25, issue.7, p.803833, 1989. ,
DOI : 10.1016/0020-7683(89)90015-2
Finite element analysis of nonsmooth contact, Computer Methods in Applied Mechanics and Engineering, vol.180, issue.1-2, p.126, 1999. ,
DOI : 10.1016/S0045-7825(99)00034-1
Numerical and experimental studies of high-velocity impact fragmentation, International Journal of Impact Engineering, vol.14, p.427438, 1993. ,
Dinamic fracture of ceramics and ceramic composites, Materials Science and Engineering, vol.143, p.111117, 1991. ,
Branching of twins near an austenite-twinnedmartensite interface, Philosophical Magazine A, vol.66, p.697715, 1992. ,
Surface energy and microstructure in coherent phase transitions, Communications on Pure and Applied Mathematics, vol.121, issue.4, p.405435, 1994. ,
DOI : 10.1017/S0308210500025026
Optimal design and relaxation of variational problems, I, II and III, Communications on Pure and Applied Mathematics, vol.39, pp.113137-139182, 1986. ,
Elastic media with microstructure I. One-dimensional models, 1982. ,
DOI : 10.1007/978-3-642-81748-9
Elastic media with microstructure 1II. Three-dimensional models, 1983. ,
DOI : 10.1007/978-3-642-81960-5
How to use damage mechanics, Nuclear Engineering and Design, vol.80, issue.2, pp.233-245, 1984. ,
DOI : 10.1016/0029-5493(84)90169-9
Approximation of a Martensitic Laminate with Varying Volume Fractions, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.1, pp.67-87, 1999. ,
DOI : 10.1051/m2an:1999105
Loading rates and the dynamic initiation toughness in brittle solids, International Journal of Fracture, vol.90, p.103118, 1998. ,
Generation of three-dimensional unstructure grids by the advancing-front method, International Journal for Numerical Methods in Fluids, vol.8, p.11351149, 1988. ,
On the thermodynamic foundations of non-linear solid mechanics, International Journal of Non-Linear Mechanics, vol.7, issue.3, p.237254, 1972. ,
DOI : 10.1016/0020-7462(72)90048-0
Zur Form der Geschwindigkeitsgleichungen f???r Werkstoffe mit inneren Zustandsvariablen, Acta Mechanica, vol.11, issue.1-2, p.109119, 1973. ,
DOI : 10.1007/BF01260883
On the computation of crystalline microstructure, Acta Numerica, vol.28, 1996. ,
DOI : 10.1016/0045-7825(91)90141-R
Scaling of fracture length and distributed damage, Geophysical Journal International, vol.35, issue.6624, p.114122, 2001. ,
DOI : 10.1016/S0148-9062(97)00323-9
Distributed damage, faulting, and friction, Journal of Geophysical Research: Solid Earth, vol.94, issue.no 4, p.2763527649, 1997. ,
DOI : 10.1029/JB094iB11p15639
URL : http://onlinelibrary.wiley.com/doi/10.1029/97JB01896/pdf
An Introduction to Solid Modeling, 1988. ,
Coupled space-time multiscale simulations of dynamic delamination Mathematical Foundations of Elasticity, Materials Science Poland N.J, vol.23, p.509519, 1983. ,
Modelling and simulation of high-speed machining, International Journal for Numerical Methods in Engineering, vol.36, issue.18, p.36753694, 1995. ,
DOI : 10.1007/BF02812022
Three dimensional analysis of dynamic ductile crack growth in a thin plate, Journal of the Mechanics and Physics of Solids, vol.44, issue.3, p.439464, 1996. ,
DOI : 10.1016/0022-5096(95)00087-9
Continuum Damage Theory???Application to Concrete, Journal of Engineering Mechanics, vol.115, issue.2, p.345365, 1989. ,
DOI : 10.1061/(ASCE)0733-9399(1989)115:2(345)
The partition of unity nite element method. Basic theory and applications, Computer Methods in Applied Mechanics and Engineering, vol.139, p.289314, 1996. ,
Composite materials with poisson's ratios close to ??? 1, Journal of the Mechanics and Physics of Solids, vol.40, issue.5, p.11051137, 1992. ,
DOI : 10.1016/0022-5096(92)90063-8
Micro-structure in linear elasticity. Archives of Rational Mechanics and Analysis, p.5178, 1964. ,
A nte element method for crack growth without remeshing, Engineering Fracture Mechanics, vol.69, p.813833, 2002. ,
A nte element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, vol.46, p.131150, 1999. ,
The cohesive element approach to dynamic fragmentation: the question of energy convergence, International Journal for Numerical Methods in Engineering, vol.61, issue.3, p.483503, 2007. ,
DOI : 10.1007/BF00033830
URL : https://hal.archives-ouvertes.fr/hal-00123064
Three-dimensional adaptive meshing by subdivision and edge-collapse in nite-deformation dynamic-plasticity problems with application to adiabatic shear banding, International Journal for Numerical Methods in Engineering, vol.53, p.11011126, 2002. ,
Crack front waves, Journal of the Mechanics and Physics of Solids, vol.46, issue.3, p.467487, 1998. ,
DOI : 10.1016/S0022-5096(97)00072-0
Variational models for microstructure and phase transitions editors, in: Calculus of variations and geometric evolution problems, Lecture Notes in Math. 1713, p.85210, 1999. ,
A Continuum Model for Void Nucleation by Inclusion Debonding, Journal of Applied Mechanics, vol.54, issue.3, p.525531, 1987. ,
DOI : 10.1115/1.3173064
An analysis of decohesion along an imperfect interface, International Journal of Fracture, vol.42, p.2140, 1990. ,
Micromechanical modeling of interfacial decohesion, Ultramicroscopy, vol.40, p.203214, 1992. ,
Coarse-graining and renormalization of atomistic binding relations and universal macroscopic cohesive behavior, Journal of the Mechanics and Physics of Solids, vol.50, issue.8, p.17271741, 2002. ,
DOI : 10.1016/S0022-5096(01)00133-8
Introduction to Impact Phenomena, High Velocity Impact Dynamics, p.163, 1990. ,
On the use of j2-plasticity models for the simulation of strong discontinuities in solids, Computational Plasticity: Fundamentals and Applications Proceedings of COMPLAS V, CIMNE, p.3855, 1997. ,
On the strong discontinuity approach in nite deformation settings, International Journal for Numerical Methods in Engineering, vol.56, p.10511082, 2003. ,
A study on nite elements for capturing strong discontinuities, International Journal for Numerical Methods in Engineering, vol.57, p.21352161, 2003. ,
On the use of strain-softening damage constitutive equations to model cracking of concrete, Computational Modelling of Concrete Structures, pp.363-372, 1998. ,
Modelling strong discontinuities in solid mechanics by means of strain softening constitutive equations, Computational Modelling of Concrete Structures, p.363372, 1994. ,
A constitutive theory for the inelastic behavior of concrete, Mechanics of Materials, vol.4, issue.1, p.6793, 1985. ,
DOI : 10.1016/0167-6636(85)90007-9
Microcrack coalescence and macroscopic crack growth initiation in brittle solids, 131] M. Ortiz. Computational micromechanics. Computational Mechanics, pp.231250321-338, 1988. ,
DOI : 10.1016/0020-7683(88)90031-5
A finite element method for localized failure analysis, Computer Methods in Applied Mechanics and Engineering, vol.61, issue.2, pp.189-214, 1987. ,
DOI : 10.1016/0045-7825(87)90004-1
A class of cohesive elements for the simulation of threedimensional crack propagation, International Journal for Numerical Methods in Engineering, vol.44, p.12671282, 1999. ,
Nonconvex energy minimization and dislocation structures in ductile single crystals, Journal of the Mechanics and Physics of Solids, vol.47, issue.2, p.397462, 1999. ,
DOI : 10.1016/S0022-5096(97)00096-3
A theory of subgrain dislocation structures, Journal of the Mechanics and Physics of Solids, vol.48, issue.10, p.20772114, 2000. ,
DOI : 10.1016/S0022-5096(99)00104-0
URL : https://hal.archives-ouvertes.fr/hal-01004955
The variational formulation of viscoplastic constitutive updates, Computer Methods in Applied Mechanics and Engineering, vol.171, issue.3-4, p.419444, 1999. ,
DOI : 10.1016/S0045-7825(98)00219-9
URL : https://hal.archives-ouvertes.fr/hal-01007379
Statistical Properties of Residual Stresses and Intergranular Fracture in Ceramic Materials, Journal of Applied Mechanics, vol.60, issue.1, p.7784, 1993. ,
DOI : 10.1115/1.2900782
Three dimensional cohesive-element analysis and experiments of dynamic fracture in c300 steel, International Journal of Solids and Structures, vol.37, p.37333760, 2000. ,
Time-discretized variational formulation of nonsmooth frictional contact, International Journal for Numerical Methods in Engineering, vol.53, p.18011830, 2002. ,
Finite element simulation of ring expansion and fragmentation. The capturing of length and time scales through cohesive models of fracture, International Journal of Fracture, vol.95, p.118, 1999. ,
Solid modeling aspects of three-dimensional fragmentation, Engineering with Computers, vol.14, p.287308, 1998. ,
Finite element Euler computations in three dimensions, International Journal for Numerical Methods in Engineering, vol.1, issue.10, p.21352159, 1988. ,
DOI : 10.1002/nme.1620261002
Adaptive remeshing for compressible flow computations, Journal of Computational Physics, vol.72, issue.2, pp.449-466, 1987. ,
DOI : 10.1016/0021-9991(87)90093-3
Fragmentation of a sphere initiated by hypervelocity impact with a thin sheet, International Journal of Impact Engineering, vol.17, issue.4-6, p.627638, 1995. ,
DOI : 10.1016/0734-743X(95)99886-V
Finite element analysis of deformation of strain softening matrials, International Journal for Numerical Methods in Engineering, vol.17, p.327334, 1981. ,
Nonlocal Damage Theory, Journal of Engineering Mechanics, vol.113, issue.10, p.15121533, 1987. ,
DOI : 10.1061/(ASCE)0733-9399(1987)113:10(1512)
Comparison of various models for strain???softening, Engineering Computations, vol.110, issue.2, p.141150, 1988. ,
DOI : 10.1016/0020-7225(72)90050-X
Cohesive cracks as a solution of a class of nonlocal problems, Fracture and Damage in Quasibrittle Structures. Experiment, modelling and Computer analysis. E & FN SPON, 1994. ,
The equivalent elastic crack: 2. X-Y equivalences and asymptotic analysis, International Journal of Fracture, vol.84, issue.3, p.231246, 1993. ,
DOI : 10.1007/BF00036342
Error estimation and adaptive meshing in strongly nonlinear dynamic problems, Computer Methods in Applied Mechanics and Engineering, vol.172, issue.1-4, p.203240, 1999. ,
DOI : 10.1016/S0045-7825(98)00230-8
Tetrahedral mesh generation based on node insertion in crystal lattice arrangements and advancing-front-Delaunay triangulation, Computer Methods in Applied Mechanics and Engineering, vol.187, issue.3-4, p.543569, 2000. ,
DOI : 10.1016/S0045-7825(99)00339-4
An experimental investigation into dynamic fracture, Part 1. Crack initiation and arrest, International Journal of Fracture, vol.25, issue.4, p.247262, 1984. ,
DOI : 10.1007/bf01152313
An experimental investigation into dynamic fracture. Part 3. On steady state crack propagation and crack branching, International Journal of Fracture, vol.26, p.141154, 1984. ,
DOI : 10.1007/bf01152313
Tensile fracture of concrete at high loading rates taking account of inertia and crack velocity eects, International Journal of Fracture, vol.51, p.3142 ,
Representations for Rigid Solids: Theory, Methods, and Systems, ACM Computing Surveys, vol.12, issue.4, p.437465, 1980. ,
DOI : 10.1145/356827.356833
URL : http://design.osu.edu/carlson/history/PDFs/requicha-solids.pdf
Mathematical analysis in the mechanics of fracture, 1968. ,
Dislocation nucleation from a crack tip: An analysis based on the Peierls concept, Journal of the Mechanics and Physics of Solids, vol.40, issue.2, p.235271, 1992. ,
DOI : 10.1016/S0022-5096(05)80012-2
The activation energy for dislocation nucleation at a crack, Journal of the Mechanics and Physics of Solids, vol.42, issue.2, p.333360, 1994. ,
DOI : 10.1016/0022-5096(94)90013-2
Mechanisms of rupture in splitting tests, ACI Materials Journal, vol.96, p.5260, 1999. ,
Size eect and boundary conditions in the Brazilian test: experimental verication, Materials and Structures, vol.32, p.210217, 1999. ,
Size eect and boundary conditions in the Brazilian test: theoretical analysis, Materials and Structures, vol.32, p.437444, 1999. ,
Convex Analysis, 1970. ,
DOI : 10.1515/9781400873173
Splitting tests : an alternative to determine the dynamic tensile strength of ceramic materials, Le Journal de Physique IV, vol.04, issue.C8, p.101106 ,
DOI : 10.1051/jp4:1994815
In Situ Measurements of Bridged Crack Interfaces in the Scanning Electron Microscope, Journal of the American Ceramic Society, vol.73, issue.8, p.33133318, 1990. ,
DOI : 10.1111/j.1151-2916.1990.tb06454.x
Universal Binding Energy Curves for Metals and Bimetallic Interfaces, Physical Review Letters, vol.36, issue.9, p.675678, 1981. ,
DOI : 10.1016/0022-5088(75)90034-X
Eects of strain rate on concrete strength, ACI Materials Journal, vol.92, p.3747, 1995. ,
Three dimensional nite-element simulation of the dynamic brazilian tests on concrete cylinders, International Journal for Numerical Methods in Engineering, vol.48, p.963994, 2000. ,
Three???dimensional cohesive modeling of dynamic mixed???mode fracture, International Journal for Numerical Methods in Engineering, vol.139, issue.12, p.97120, 2001. ,
DOI : 10.1016/S0045-7825(96)01078-X
On fractal and size eects, International Journal of Fracture, vol.127, p.231249, 2006. ,
Technical Chairman) Engineered Materials Handbook, Ceramics and Glasses. ASM International, vol.4, 1991. ,
Conrming the continuum theory of dynamic brittle fracture for fast cracks, Nature, vol.397, p.333335, 1999. ,
Mixed-Mode Fracture Criteria for Reliability Analysis and Design With Structural Ceramics, Journal of Engineering for Gas Turbines and Power, vol.109, issue.3, p.282289, 1987. ,
DOI : 10.1115/1.3240037
Mixed-Mode Fracture of Ceramics in Diametral Compression, Journal of the American Ceramic Society, vol.61, issue.3, p.437443, 1986. ,
DOI : 10.1115/1.3625127
Mixed-mode fracture in biaxial stress state: Application of the diametral-compression (Brazilian disk) test, Engineering Fracture Mechanics, vol.26, issue.6, p.825840, 1987. ,
DOI : 10.1016/0013-7944(87)90032-4
A new approach to the analysis and simulation of strain softening in solids, Fracture and Damage in Quasibrittle Structures, p.2539, 1994. ,
An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids, Computational Mechanics, vol.95, issue.5, p.277296, 1993. ,
DOI : 10.1007/978-3-0348-5116-9
Fracture toughness of polycristalline ceramics in combined mode i and mode ii loading, Journal of the American Ceramic Society, vol.72, p.7884, 1989. ,
Continuum modeling of damage in ceramic matrix composites, Mechanics of Materials, vol.12, p.165180, 1991. ,
Experimental and numericalanalysis of high-strain rate splitting tensile tests, ACI Materials Journal, vol.90, pp.162-169, 1993. ,
Numerical analysis of high strain rate concrete direct tension tests, Computers & Structures, vol.40, issue.2, p.313327, 1991. ,
DOI : 10.1016/0045-7949(91)90357-R
A variational r-adaption and shape-optimization method for nite-deformation elasticity, International Journal for Numerical Methods in Engineering, vol.61, p.121, 2004. ,
Combined mode i and mode ii fracture of monolithic ceramics Process zone of polycrystalline alumina, Journal of the American Ceramic Society Experimental Mechanics, vol.76, issue.39, p.226522722024, 1993. ,
The influence of plasticity on mixed mode interface toughness, Journal of the Mechanics and Physics of Solids, vol.41, issue.6, pp.1119-1135, 1993. ,
DOI : 10.1016/0022-5096(93)90057-M
Eect of strain dependent cohesive zone model on predictions of crack growth resistance, International Journal of Solids and Structures, vol.33, p.32973308, 1996. ,
Eect of strain dependent cohesive zone model on predictions of interface crack growth, Journal de Physique IV, vol.6, pp.165-172, 1996. ,
Experimental and numerical determination of the dynamic fracture energy of concrete, Le Journal de Physique IV, vol.04, issue.C8, p.501506, 1994. ,
DOI : 10.1051/jp4:1994878
URL : https://hal.archives-ouvertes.fr/jpa-00253439
R-curve behavior of Al 2 O 3 ceramics, Acta Metallurgica et Materialia, vol.38, p.11511162, 1990. ,
Application of fracture mechanics at and beyond general yielding, Welding Research Ass, 1963. ,
A consistent geometrically non-linear approach for delamination, International Journal for Numerical Methods in Engineering, vol.6, issue.9, p.1333 ,
DOI : 10.1016/0008-8846(76)90007-7
Bearing pressures and cracks, Journal of Applied Mechanics, pp.49-53, 1939. ,
Simulation issues of distributed and localized failure computations, Cracking and Damage, p.363378, 1989. ,
A study of fragmentation in the ballistic impact of ceramics, International Journal of Impact Engineering, vol.15, issue.5, p.605618, 1994. ,
DOI : 10.1016/0734-743X(94)90122-2
Deformation trapping due to thermoplastic instability in one-dimensional wave propagation, Journal of the Mechanics and Physics of Solids, vol.32, issue.2, p.119132, 1984. ,
DOI : 10.1016/0022-5096(84)90014-0
A variational boundary integral method for the analysis of 3-D cracks of arbitrary geometry modelled as continuous distributions of dislocation loops, International Journal for Numerical Methods in Engineering, vol.33, issue.21, pp.3675-3701, 1993. ,
DOI : 10.1007/978-3-642-88382-8
Void nucleation by inclusion debonding in a crystal matrix, Modelling and Simulation in Materials Science and Engineering, vol.1, issue.2, pp.111-132, 1993. ,
DOI : 10.1088/0965-0393/1/2/001
Numerical simulations of fast crack growth in brittle solids, Journal of the Mechanics and Physics of Solids, vol.42, issue.9, p.1397, 1994. ,
DOI : 10.1016/0022-5096(94)90003-5
Numerical simulations of dynamic interfacial crack growth allowing for crack growth away from the bond line, International Journal of Fracture, vol.43, issue.3, p.253275, 1995. ,
DOI : 10.1016/0022-5096(94)00071-C
Numerical simulations of dynamic crack growth along an interface, International Journal of Fracture, vol.59, issue.4, p.289324, 1996. ,
DOI : 10.1007/BF00017970
Fracture process zone in dynamically loaded crack-line wedge-loaded, double-cantilever beam concrete specimens, ACI Materials Journal, vol.88, p.470479 ,
Numerical Simulation of Mode 1 Dynamic Fracture of Concrete, Journal of Engineering Mechanics, vol.117, issue.7, pp.1595-1610, 1991. ,
DOI : 10.1061/(ASCE)0733-9399(1991)117:7(1595)
Strain-Rate Sensitivity of Concrete Mechanical Properties, ACI Materials Journal, vol.89, p.146153, 1992. ,
Energy-dissipation mechanisms associated with rapid fracture of concrete, Experimental Mechanics, vol.30, issue.3, p.205211, 1993. ,
DOI : 10.1007/BF02322574
Three-dimensional modeling of intersonic shear-crack growth in asymmetrically loaded unidirectional composite plates, International Journal of Solids and Structures, vol.39, issue.25, p.61356157, 2002. ,
DOI : 10.1016/S0020-7683(02)00466-3
A 3d numerical investigation on branching for brittle materials, 2007. ,
Numerical investigation on the dynamic behavior of advanced ceramics, Engineering Fracture Mechanics, vol.71, issue.4-6, p.897911, 2004. ,
DOI : 10.1016/S0013-7944(03)00016-X
Dynamic fracture initiation and propagation in 4340 steel under impact loading, International Journal of Fracture, vol.27, issue.4, p.271285, 1990. ,
DOI : 10.1007/BF00035087
URL : http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA173084&Location=U2&doc=GetTRDoc.pdf