Investigation of crack growth in functionally graded materials using digital image correlation, Engineering Fracture Mechanics, vol.69, issue.14-16, pp.1695-1711, 2002. ,
DOI : 10.1016/S0013-7944(02)00058-9
Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions, Journal of the Mechanics and Physics of Solids, vol.60, issue.12, pp.2100-2126 ,
DOI : 10.1016/j.jmps.2012.06.014
Image processing with imagej, Biophotonics international, vol.11, issue.7, pp.36-42, 2004. ,
Vibration Testing as a Nondestructive Test Tool for Composite Materials, Composite Reliability, ASTM STP, vol.580, pp.159-175, 1975. ,
DOI : 10.1520/STP32306S
Ultrasonic wave dispersion and attenuation in fresh mortar, NDT & E International, vol.37, issue.8, pp.617-631, 2004. ,
DOI : 10.1016/j.ndteint.2004.04.002
Mesoscopic Mechanical Analysis of Filled Elastomer with 3D-Finite Element Analysis and Transmission Electron Microtomography, Rubber Chemistry and Technology, vol.81, issue.2, pp.182-189, 2008. ,
DOI : 10.5254/1.3548203
Experimental characterization of the local strain field in a heterogeneous elastoplastic material, Acta Metallurgica et Materialia, vol.42, issue.11, pp.3865-3880, 1994. ,
DOI : 10.1016/0956-7151(94)90452-9
Approximation of functional depending on jumps by elliptic functional via t-convergence, Communications on Pure and Applied Mathematics, vol.17, issue.8, pp.999-1036, 1990. ,
DOI : 10.1002/cpa.3160430805
Approximation of functional depending on jumps by elliptic functional via t-convergence, Communications on Pure and Applied Mathematics, vol.17, issue.8, pp.999-1036, 1990. ,
DOI : 10.1002/cpa.3160430805
On the approximation of free discontinuity problems ,
Assessment of Digital Image Correlation Measurement Accuracy in the Ultimate Error Regime: Main Results of a Collaborative Benchmark, Strain, vol.45, issue.6, pp.483-496 ,
DOI : 10.1111/str.12054
URL : https://hal.archives-ouvertes.fr/hal-01069741
Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments, Journal of the Mechanics and Physics of Solids, vol.57, issue.8, pp.1209-1229, 2009. ,
DOI : 10.1016/j.jmps.2009.04.011
Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments, Journal of the Mechanics and Physics of Solids, vol.57, issue.8, pp.1209-1229, 2009. ,
DOI : 10.1016/j.jmps.2009.04.011
Damage initiation in model metallic materials: X-ray tomography and modelling, Acta Materialia, vol.52, issue.8, pp.2475-2487, 2004. ,
DOI : 10.1016/j.actamat.2004.02.001
URL : https://hal.archives-ouvertes.fr/hal-00474482
Effect of polystyrene aggregate size on strength and moisture migration characteristics of lightweight concrete. Cement and Concrete Composites, pp.520-527, 2006. ,
The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks, Journal of Applied Mathematics and Mechanics, vol.23, issue.3, pp.622-636, 1959. ,
DOI : 10.1016/0021-8928(59)90157-1
Digital volume correlation: Three-dimensional strain mapping using X-ray tomography, Experimental Mechanics, vol.27, issue.10???12, pp.217-226, 1999. ,
DOI : 10.1007/BF02323555
Wave Propagation in a Strain???Softening Bar:Exact Solution, Journal of Engineering Mechanics, vol.111, issue.3, pp.381-389, 1985. ,
DOI : 10.1061/(ASCE)0733-9399(1985)111:3(381)
Nonlocal Continuum Damage, Localization Instability and Convergence, Journal of Applied Mechanics, vol.55, issue.2, pp.287-293, 1988. ,
DOI : 10.1115/1.3173674
An element-failure algorithm for dynamic crack propagation in general directions, Engineering Fracture Mechanics, vol.61, issue.3-4, pp.407-425, 1998. ,
DOI : 10.1016/S0013-7944(98)00072-1
Arbitrary discontinuities in finite elements, International Journal for Numerical Methods in Engineering, vol.8, issue.4, pp.993-1013, 2001. ,
DOI : 10.1002/1097-0207(20010210)50:4<993::AID-NME164>3.0.CO;2-M
URL : https://hal.archives-ouvertes.fr/hal-01005275
Bifurcation and stability issues in gradient theories with softening. Modelling and Simulation in, Materials Science and Engineering, vol.15, pp.283-295, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00551073
Damage growth modeling using the Thick Level Set (TLS) approach: Efficient discretization for quasi-static loadings, Computer Methods in Applied Mechanics and Engineering, vol.233, issue.236, pp.11-27 ,
DOI : 10.1016/j.cma.2012.02.020
URL : https://hal.archives-ouvertes.fr/hal-01433786
How to study drying shrinkage microcracking in cementbased materials using optical and scanning electron microscopy? Cement and Concrete Research, pp.279-287, 2002. ,
Experimental Determination of Fully-Coupled Kinematical and Thermal Fields at the Scale of Grains Under Cyclic Loading, Advanced Engineering Materials, vol.35, issue.9, pp.723-726, 2009. ,
DOI : 10.1002/adem.200900035
URL : https://hal.archives-ouvertes.fr/hal-00424948
Isogeometric analysis of phase-field models for dynamic brittle and ductile fracture, 2012. ,
A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework, Computer Methods in Applied Mechanics and Engineering, vol.273, pp.100-118 ,
DOI : 10.1016/j.cma.2014.01.016
A phasefield description of dynamic brittle fracture, Computer Methods in Applied Mechanics and Engineering, vol.217, pp.77-95 ,
Assessment of Digital Image Correlation Measurement Errors: Methodology and Results, Experimental Mechanics, vol.43, issue.4, pp.353-370, 2009. ,
DOI : 10.1007/s11340-008-9204-7
URL : https://hal.archives-ouvertes.fr/hal-00881043
Mesure tridimensionnelle de champs cinématiques par imagerie volumique pour l'analyse des matériaux et des structures, pp.4-7, 2004. ,
Multiscale Full-Field Strain Measurements for Micromechanical Investigations of the Hydromechanical Behaviour of Clayey Rocks, Strain, vol.339, issue.1, pp.33-46, 2010. ,
DOI : 10.1111/j.1475-1305.2008.00590.x
URL : https://hal.archives-ouvertes.fr/hal-00535703
Fundamental issues in finite element analyses of localization of deformation. Engineering computations, pp.99-121, 1993. ,
Numerical implementation of the variational formulation for quasi-static brittle fracture, Interfaces and Free Boundaries, vol.9, pp.411-430, 2007. ,
DOI : 10.4171/IFB/171
Numerical experiments in revisited brittle fracture, Journal of the Mechanics and Physics of Solids, vol.48, issue.4, pp.797-826, 2000. ,
DOI : 10.1016/S0022-5096(99)00028-9
The Variational Approach to Fracture ,
URL : https://hal.archives-ouvertes.fr/hal-00551079
A time-discrete model for dynamic fracture based on crack regularization, International Journal of Fracture, vol.14, issue.1, pp.133-143, 2011. ,
DOI : 10.1007/s10704-010-9562-x
Approximation of Free Discontinuity Problems, 1998. ,
?-Convergence for Beginners, 2002. ,
DOI : 10.1093/acprof:oso/9780198507840.001.0001
Gradient enhanced damage for quasi-brittle materials, 1996. ,
A method for multiple crack growth in brittle materials without remeshing, International Journal for Numerical Methods in Engineering, vol.41, issue.4, pp.611741-1770, 2004. ,
DOI : 10.1002/nme.1130
URL : https://hal.archives-ouvertes.fr/hal-01004845
Three-dimensional visualisation of fatigue cracks in metals using high resolution synchrotron X-ray micro-tomography, Materials Science and Technology, vol.22, issue.9, pp.1019-1024, 2006. ,
DOI : 10.1016/0013-7944(88)90102-6
URL : https://hal.archives-ouvertes.fr/hal-00436195
In Situ Experiments with X ray Tomography: an Attractive Tool for Experimental Mechanics, Experimental Mechanics, vol.17, issue.2, pp.289-305, 2010. ,
DOI : 10.1007/s11340-010-9333-7
Characterization of internal damage in a mmc p using x-ray synchrotron phase contrast microtomography ,
Energy minimizing brittle crack propagation, Journal of Elasticity, vol.52, issue.3, pp.201-238, 1999. ,
DOI : 10.1023/A:1007545213010
A phasefield model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.70, pp.2765-2778, 2010. ,
Computational modelling of impact damage in brittle materials, International Journal of Solids and Structures, vol.33, issue.20-22, pp.2899-2938, 1996. ,
DOI : 10.1016/0020-7683(95)00255-3
The influence of the interphase and associated interfaces on the deflection of matrix cracks in ceramic matrix composites, Composites Part A: Applied Science and Manufacturing, vol.31, issue.11, pp.311179-1190, 2000. ,
DOI : 10.1016/S1359-835X(00)00095-6
The location of defects in structures from measurements of natural frequencies, The Journal of Strain Analysis for Engineering Design, vol.1, issue.2, pp.49-57, 1979. ,
DOI : 10.1243/03093247V142049
Comparison of a phase-field model and of a thick level set model for brittle and quasi-brittle fracture, International Journal for Numerical Methods in Engineering, vol.339, issue.1, p.61, 2015. ,
DOI : 10.1002/nme.4886
Some issues in the application of cohesive zone models for metal???ceramic interfaces, International Journal of Solids and Structures, vol.39, issue.10, pp.2827-2855, 2002. ,
DOI : 10.1016/S0020-7683(02)00149-X
Analyse expérimentale et modélisation micromécaniques du comportement élastique et de l'endommagement de composites SiC/SiC unidirectionnels, Ecole Polytechnique X, 2011. ,
Large-Scale Finite Element Analysis of Human Cancellous Bone Tissue Micro Computer Tomography Data: A Convergence Study, Journal of Biomechanical Engineering, vol.136, issue.10 ,
DOI : 10.1115/1.4028106
A non-local model with tension and compression damage mechanisms, European Journal of Mechanics - A/Solids, vol.20, issue.1, pp.1-22, 2001. ,
DOI : 10.1016/S0997-7538(00)01111-6
Comparison of two forms of strain decomposition in an elastic -plastic damaging model for concrete. Modelling and Simulation in, Materials Science and Engineering, vol.15, issue.4, p.405, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00913304
An efficient way to perform the assembly of finite element matrices in matlab and octave, INRIA Research Report, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00785101
Automated crack identification for cement paste, Cement and Concrete Research, vol.25, issue.3, pp.605-616, 1995. ,
DOI : 10.1016/0008-8846(95)00049-I
Crack propagation and strain localization in metallic particulate-reinforced cementitious mortars, Materials & Design, vol.79, pp.15-25 ,
DOI : 10.1016/j.matdes.2015.04.038
Localized deformation induced by heterogeneities in porous carbonate analysed by multi-scale digital image correlation, Tectonophysics, vol.503, issue.1-2, pp.100-116, 2011. ,
DOI : 10.1016/j.tecto.2010.09.025
URL : https://hal.archives-ouvertes.fr/hal-00641788
Arbitrary branched and intersecting cracks with the extended finite element method, International Journal for Numerical Methods in Engineering, vol.32, issue.12, pp.1741-1760, 2000. ,
DOI : 10.1002/1097-0207(20000830)48:12<1741::AID-NME956>3.0.CO;2-L
URL : https://hal.archives-ouvertes.fr/hal-01005274
Evolving Discontinuities and Cohesive Fracture, Procedia IUTAM, vol.10, pp.125-137 ,
DOI : 10.1016/j.piutam.2014.01.014
An In-Situ X-Ray Microtomography Study of Split Cylinder Fracture in Cement-Based Materials, Experimental Mechanics, vol.33, issue.9, pp.1227-1235 ,
DOI : 10.1007/s11340-014-9875-1
An improved description of the exponential Xu and Needleman cohesive zone law for mixed-mode decohesion, Engineering Fracture Mechanics, vol.73, issue.9, pp.1220-1234, 2006. ,
DOI : 10.1016/j.engfracmech.2005.12.006
Micro-CT characterization of variability in 3D textile architecture, Composites Science and Technology, vol.65, issue.13, pp.1920-1930, 2005. ,
DOI : 10.1016/j.compscitech.2005.04.008
The Arlequin method as a flexible engineering design tool, International Journal for Numerical Methods in Engineering, vol.193, issue.11, pp.1442-1462, 2005. ,
DOI : 10.1002/nme.1229
URL : https://hal.archives-ouvertes.fr/hal-00018915
Micromechanical Applications of Digital Image Correlation Techniques, Interferometry in Speckle Light, pp.67-74, 2000. ,
DOI : 10.1007/978-3-642-57323-1_9
URL : https://hal.archives-ouvertes.fr/hal-00116114
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
Thers-method for material failure simulations, International Journal for Numerical Methods in Engineering, vol.14, issue.11, p.1607, 2008. ,
DOI : 10.1002/nme.2134
3-dimensional X-ray microtomography, Science, vol.487, pp.1439-1444, 1987. ,
Acoustic emission and velocities associated with the formation of compaction bands in sandstone, Journal of Geophysical Research, vol.95, issue.B11, p.111, 1978. ,
DOI : 10.1029/2005JB003854
Acoustic emissions monitoring during inelastic deformation of porous sandstone: comparison of three modes of deformation, Rock Physics and Natural Hazards, pp.823-841, 2009. ,
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
Damage, gradient of damage and principle of virtual power, International Journal of Solids and Structures, vol.33, issue.8 ,
DOI : 10.1016/0020-7683(95)00074-7
Dynamic Fracture Mechanics, 1990. ,
A Method for Crack Detection on a Concrete Structure, 18th International Conference on Pattern Recognition (ICPR'06), pp.901-904, 2006. ,
DOI : 10.1109/ICPR.2006.98
Revisiting brittle fracture as an energy minimization problem, Journal of the Mechanics and Physics of Solids, vol.46, pp.1319-1342, 1998. ,
Bond effects in high-strength silica fume concretes, ACI Materials Journal, vol.86, issue.5, 1989. ,
Fluorescent liquid replacement technique. a means of crack detection and water: binder ratio determination in high strength concretes. Cement and concrete research, pp.1063-1074, 1995. ,
Non-planar 3D crack growth by the extended finite element and level sets-Part II: Level set update, International Journal for Numerical Methods in Engineering, vol.47, issue.8, pp.2569-86, 2002. ,
DOI : 10.1002/nme.430
URL : https://hal.archives-ouvertes.fr/hal-01007111
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, 1921. ,
DOI : 10.1098/rsta.1921.0006
On the energy release rate in quasi-static elastic crack propagation, Journal of Elasticity, vol.2, issue.2, pp.187-195, 1979. ,
DOI : 10.1007/BF00041325
Thermodynamics and the griffith criterion for brittle fracture, International Journal of Solids and Structures, vol.15, issue.7, pp.553-560, 1979. ,
DOI : 10.1016/0020-7683(79)90082-9
Ultrasonic measurement of weld penetration, Welding Journal, vol.63, issue.9, pp.273-281, 1984. ,
Crack Detection Method for Drain by Using Directional Smoothing, IEEJ Transactions on Electronics, Information and Systems, vol.127, issue.2, pp.241-246, 2007. ,
DOI : 10.1541/ieejeiss.127.241
Coupling between experimental measurements and polycrystal finite element calculations for micromechanical study of metallic materials, International Journal of Plasticity, vol.23, issue.9, pp.1512-1539, 2007. ,
DOI : 10.1016/j.ijplas.2007.01.009
Three-dimensional analysis of a tensile test on a propellant with digital volume correlation, Archives of Mechanics, vol.63, issue.5-6, pp.1-20, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00634714
Evaluating damage with digital image correlation: A. introductory remarks and detection of physical damage, Handbook of Damage Mechanics, pp.1255-1275 ,
On the use of 3d images and 3d displacement measurements for the analysis of damage mechanisms in concrete-like materials, VIII International Conference on Fracture Mechanics of Concrete and Concrete Structures, pp.1-12 ,
URL : https://hal.archives-ouvertes.fr/hal-01385670
A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns, International Journal for Numerical Methods in Engineering, vol.17, issue.3, pp.276-301 ,
DOI : 10.1002/nme.4387
3D multiscale crack propagation using the XFEM applied to a gas turbine blade, Computational Mechanics, vol.48, issue.11, pp.173-188 ,
DOI : 10.1007/s00466-013-0900-5
The extended finite element method for fracture in composite materials, International Journal for Numerical Methods in Engineering, vol.45, issue.5, pp.214-239, 2009. ,
DOI : 10.1002/nme.2259
?Ultrasonic and Advanced Methods for Nondestructive Testing and Material Characterization?, Chen CH, pp.325-348, 2007. ,
Numerical modelling of discrete crack propagation in reinforced and plain concrete Fracture Mechanics of Concrete, pp.171-225, 1984. ,
Rock mechanics and engineering, pp.42-86, 1979. ,
Experimental study of the cracking behavior of specimens containing inclusions (under uniaxial compression), International Journal of Fracture, vol.20, issue.4, pp.83-102, 2010. ,
DOI : 10.1007/s10704-010-9457-x
Nonlocal models for damage and fracture: Comparison of approaches, International Journal of Solids and Structures, vol.35, issue.31-32, pp.4133-4145, 1998. ,
DOI : 10.1016/S0020-7683(97)00306-5
Inelastic analysis of structures, 2002. ,
Eroding interface and improved tetrahedral element algorithms for high-velocity impact computations in three dimensions, International Journal of Impact Engineering, vol.5, issue.1-4, pp.411-421, 1987. ,
DOI : 10.1016/0734-743X(87)90057-1
Determination of the size of the representative volume element for random composites: statistical and numerical approach, International Journal of Solids and Structures, vol.40, issue.13-14, pp.13-143647, 2003. ,
DOI : 10.1016/S0020-7683(03)00143-4
Phase-Field Model of Mode III Dynamic Fracture, Physical Review Letters, vol.87, issue.4, p.45501, 2001. ,
DOI : 10.1103/PhysRevLett.87.045501
Detection and quantification of distributed damage in concrete using transient stress waves, ACI Materials Journal, vol.101, issue.4, 2004. ,
Fatigue crack growth simulation in heterogeneous material using s-version FEM, International Journal of Fatigue, vol.58, p.2014 ,
DOI : 10.1016/j.ijfatigue.2013.04.022
Fluorescent thin sections to observe the fracture zone in mortar, Cement and Concrete Research, vol.14, issue.3, pp.339-344, 1984. ,
DOI : 10.1016/0008-8846(84)90051-6
Finite-element simulation of the shear process using the element-kill method, Journal of Materials Processing Technology, vol.72, issue.1, pp.129-140, 1997. ,
DOI : 10.1016/S0924-0136(97)00144-1
Ultrasonic testing of materials, 1990. ,
A continuum phase field model for fracture, Engineering Fracture Mechanics, vol.77, issue.18, pp.3625-3634, 2010. ,
DOI : 10.1016/j.engfracmech.2010.08.009
The Variational Approach to Fracture Mechanics. A??Practical Application to the French Panth??on in Paris, Journal of Elasticity, vol.36, issue.1-2, pp.1-30, 2009. ,
DOI : 10.1007/s10659-009-9189-1
X-ray microtomography for fracture studies in cementbased materials, SPIE's International Symposium on Optical Science, Engineering, and Instrumentation International Society for Optics and Photonics, pp.105-113, 1999. ,
Three-dimensional work of fracture for mortar in compression, Engineering Fracture Mechanics, vol.65, issue.2-3, pp.223-234, 2000. ,
DOI : 10.1016/S0013-7944(99)00124-1
Microstructure and fracture in three dimensions, Engineering Fracture Mechanics, vol.70, issue.7-8, pp.911-925, 2003. ,
DOI : 10.1016/S0013-7944(02)00157-1
Cracking, damage and fracture in four dimensions, Materials and Structures, vol.70, issue.7, pp.357-364, 2007. ,
DOI : 10.1617/s11527-006-9145-5
Characterization and modeling of void nucleation by interface decohesion in dual phase steels, Scripta Materialia, vol.63, issue.10, pp.973-976, 2010. ,
DOI : 10.1016/j.scriptamat.2010.07.021
URL : https://hal.archives-ouvertes.fr/hal-00523143
Validation of void growth models using X-ray microtomography characterization of damage in dual phase steels, Acta Materialia, vol.59, issue.20, pp.7564-7573, 2011. ,
DOI : 10.1016/j.actamat.2011.08.046
Localization limiters in transient problems, International Journal of Solids and Structures, vol.24, issue.6, pp.581-597, 1988. ,
DOI : 10.1016/0020-7683(88)90059-5
Fracture mechanics parameters influencing the mechanical properties of high-performance concrete, ACI Special Publication, vol.149, 1994. ,
Strength or toughness? A criterion for crack onset at a notch, European Journal of Mechanics - A/Solids, vol.21, issue.1, pp.61-72, 2002. ,
DOI : 10.1016/S0997-7538(01)01184-6
Volumetric Digital Image Correlation Applied to X-ray Microtomography Images from Triaxial Compression Tests on Argillaceous Rock, Strain, vol.23, issue.3, pp.193-205, 2007. ,
DOI : 10.1111/j.1475-1305.2007.00348.x
URL : https://hal.archives-ouvertes.fr/hal-00541503
Theoretical and computational aspects of a thermodynamically consistent framework for geometrically linear gradient damage, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.49-50, pp.6555-6576, 2001. ,
DOI : 10.1016/S0045-7825(01)00250-X
Crack closure and stress intensity factor measurements in nodular graphite cast iron using three-dimensional correlation of laboratory X-ray microtomography images, Acta Materialia, vol.57, issue.14, pp.4090-4101, 2009. ,
DOI : 10.1016/j.actamat.2009.05.005
URL : https://hal.archives-ouvertes.fr/hal-00410325
Influence of closure on the 3D propagation of fatigue cracks in a nodular cast iron investigated by X-ray tomography and 3D volume correlation, Acta Materialia, vol.58, issue.8, pp.582957-2967, 2010. ,
DOI : 10.1016/j.actamat.2010.01.024
URL : https://hal.archives-ouvertes.fr/hal-00453971
Experimental study of the influence of EPS particle size on the mechanical properties of EPS lightweight concrete, Construction and Building Materials, vol.68, pp.227-232 ,
DOI : 10.1016/j.conbuildmat.2014.06.062
Gradient constitutive relations: numerical aspects and application to gradient damage, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.50-52, pp.5191-5220, 2005. ,
DOI : 10.1016/j.cma.2004.12.016
URL : https://hal.archives-ouvertes.fr/hal-00089126
X-ray microtomographic studies of pore structure and permeability in Portland cement concrete, Materials and Structures, vol.35, issue.1, pp.611-620, 2006. ,
DOI : 10.1617/s11527-006-9099-7
Characterisation of 3D woven composite internal architecture and effect of compaction, Composites Part A: Applied Science and Manufacturing, vol.41, issue.7, pp.872-880, 2010. ,
DOI : 10.1016/j.compositesa.2010.02.019
Double pulse infrared thermography, NDT & E International, vol.37, issue.7, pp.559-564, 2004. ,
DOI : 10.1016/j.ndteint.2004.03.003
An Introduction to ?-Convergence, 1993. ,
Identification of interlaminar fracture properties of a composite laminate using local full-field kinematic measurements and finite element simulations, Composites Part A: Applied Science and Manufacturing, vol.49, pp.203-213 ,
DOI : 10.1016/j.compositesa.2013.02.015
URL : https://hal.archives-ouvertes.fr/hal-00848724
Hild, and volume=36 number=1 pages=146?154 year=2012 publisher=Elsevier S. Roux, journal=International Journal of Fatigue. Identification of a crack propagation law by digital image correlation ,
A numerical assessment of phase-field models for brittle and cohesive fracture: ??-Convergence and stress oscillations, European Journal of Mechanics - A/Solids, vol.52, issue.234, pp.72-84 ,
DOI : 10.1016/j.euromechsol.2015.02.002
Estimation of stress intensity factor by digital image correlation, Engineering Fracture Mechanics, vol.28, issue.1, pp.101-112, 1987. ,
DOI : 10.1016/0013-7944(87)90124-X
Mechanisms of crack propagation in dry plaster, Journal of the European Ceramic Society, vol.23, issue.16, pp.3105-3112, 2003. ,
DOI : 10.1016/S0955-2219(03)00094-3
URL : https://hal.archives-ouvertes.fr/hal-00587077
The partition of unity finite element method: Basic theory and applications, Computer Methods in Applied Mechanics and Engineering, vol.139, issue.1-4, pp.289-314, 1996. ,
DOI : 10.1016/S0045-7825(96)01087-0
Recent advances in the use of infrared thermography. Measurement science and technology, p.27, 2004. ,
Phase field modeling of fracture in multi-physics problems. Part II. Coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic???plastic solids, Computer Methods in Applied Mechanics and Engineering, vol.294, p.2014 ,
DOI : 10.1016/j.cma.2014.11.017
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.45-48, pp.2776-2778, 2010. ,
DOI : 10.1016/j.cma.2010.04.011
Algorithms for computation of stresses and elasticity moduli in terms of Seth-Hill's family of generalized strain tensors, Communications in Numerical Methods in Engineering, vol.139, issue.5, pp.337-353, 2001. ,
DOI : 10.1002/cnm.404
Phase field modeling of fracture in rubbery polymers. Part I: Finite elasticity coupled with brittle failure, Journal of the Mechanics and Physics of Solids, vol.65, pp.93-113 ,
DOI : 10.1016/j.jmps.2013.06.007
Phase field modeling of fracture in multi-physics problems. Part I. Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids, Computer Methods in Applied Mechanics and Engineering, vol.294, p.2014 ,
DOI : 10.1016/j.cma.2014.11.016
A phase field model of electromechanical fracture, Journal of the Mechanics and Physics of Solids, vol.58, issue.10, pp.1716-1740, 2010. ,
DOI : 10.1016/j.jmps.2010.06.013
Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations, International Journal for Numerical Methods in Engineering, vol.55, issue.10 ,
DOI : 10.1002/nme.2861
Compressive behavior of an idealized EPS lightweight concrete: size effects and failure mode, Mechanics of Materials, vol.36, issue.11, pp.1031-1046, 2004. ,
DOI : 10.1016/j.mechmat.2003.08.004
Particle size effect on EPS lightweight concrete compressive strength: Experimental investigation and modelling, Mechanics of Materials, vol.39, issue.3, pp.222-240, 2007. ,
DOI : 10.1016/j.mechmat.2006.05.008
Particle size effect on EPS lightweight concrete compressive strength: Experimental investigation and modelling, Mechanics of Materials, vol.39, issue.3, pp.222-240, 2007. ,
DOI : 10.1016/j.mechmat.2006.05.008
A preliminary SEM study of crack propagation in mortar, Cement and Concrete Research, vol.10, issue.4, pp.509-519, 1980. ,
DOI : 10.1016/0008-8846(80)90095-2
Computation and analysis of image motion: A synopsis of current problems and methods, International Journal of Computer Vision, vol.7, issue.4, pp.29-55, 1996. ,
DOI : 10.1007/BF00131147
A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, vol.46, issue.1, pp.131-150, 1999. ,
DOI : 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.3.CO;2-A
Non-planar 3D crack growth by the extended finite element and level sets-Part I: Mechanical model, International Journal for Numerical Methods in Engineering, vol.33, issue.2, pp.2549-2568, 2002. ,
DOI : 10.1002/nme.429
A level set based model for damage growth: The thick level set approach, International Journal for Numerical Methods in Engineering, vol.61, issue.1, pp.358-380, 2011. ,
DOI : 10.1002/nme.3069
Optimal approximations by piecewise smooth functions and associated variational problems, Communications on Pure and Applied Mathematics, vol.3, issue.5, pp.577-685, 1989. ,
DOI : 10.1002/cpa.3160420503
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
Fracture analysis of concrete using scanning electron microscopy, Scanning, vol.30, issue.4, pp.426-430, 1997. ,
DOI : 10.1002/sca.4950190605
Analysis of compressive stress-induced cracks in concrete, ACI Materials Journal, vol.95, issue.5, 1998. ,
On the choice of numerical parameters in the phase field method for simulating crack initiation with experimental validation. submitted, p.33, 2015. ,
A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography. submitted, p.2015 ,
URL : https://hal.archives-ouvertes.fr/hal-01213943
A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure, Engineering Fracture Mechanics, vol.139, pp.18-39 ,
DOI : 10.1016/j.engfracmech.2015.03.045
URL : https://hal.archives-ouvertes.fr/hal-01140963
Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis, International Journal for Numerical Methods in Engineering, vol.142, issue.9, pp.1267-1282, 1999. ,
DOI : 10.1002/(SICI)1097-0207(19990330)44:9<1267::AID-NME486>3.0.CO;2-7
Geometric level set methods in imaging, vision, and graphics, 2003. ,
An eigenerosion approach to brittle fracture, International Journal for Numerical Methods in Engineering, vol.60, issue.4-6, pp.694-714 ,
DOI : 10.1002/nme.4352
Anisotropic damage model for the multiaxial static and fatigue behaviour of plain concrete, Engineering Fracture Mechanics, vol.55, issue.2, pp.163-179, 1996. ,
DOI : 10.1016/0013-7944(96)00004-5
Using x-ray tomography to image cracks in cement pastes, Proc., Int. Conf. on High-Performance Fiber-Reinforced Concrete Composites (HPFRCC), page 8, 2007. ,
Localisation issues in local and nonlocal continuum approaches to fracture, European Journal of Mechanics - A/Solids, vol.21, issue.2 ,
DOI : 10.1016/S0997-7538(02)01211-1
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
Approche variationnelle de l'endommagement : I. Les concepts fondamentaux, Comptes Rendus M??canique, vol.338, issue.4, pp.191-198, 2010. ,
DOI : 10.1016/j.crme.2010.03.009
URL : https://hal.archives-ouvertes.fr/hal-00490518
Finite element analysis of deformation of strain-softening materials, International Journal for Numerical Methods in Engineering, vol.105, issue.3, pp.327-334, 1981. ,
DOI : 10.1002/nme.1620170303
Nonlocal Damage Theory, Journal of Engineering Mechanics, vol.113, issue.10, pp.1512-1533, 1987. ,
DOI : 10.1061/(ASCE)0733-9399(1987)113:10(1512)
A review of non local continuum damage: Modelling of failure? Networks and Heterogeneous Media, pp.575-597 ,
Identification algorithm for fracture parameters by combining DIC and FEM approaches, International Journal of Fracture, vol.74, issue.10, pp.101-114, 2011. ,
DOI : 10.1007/s10704-011-9605-y
Advanced waveform-based acoustic emission detection of matrix cracking in composites, Materials evaluation, vol.53, issue.9, pp.1052-1058, 1995. ,
Orthotropic behavior of concrete with directional aspects: modelling and experiments, Nuclear Engineering and Design, vol.133, issue.1, pp.97-111, 1992. ,
DOI : 10.1016/0029-5493(92)90094-C
Ultimate strength analysis of prestressed concrete pressure vessels, Nuclear Engineering and Design, vol.7, issue.4, pp.334-344, 1968. ,
DOI : 10.1016/0029-5493(68)90066-6
Scanning Electron Microscopy: Physics of Image Formation and Microanalysis, Second Edition, Measurement Science and Technology, vol.11, issue.12, p.1826, 2000. ,
DOI : 10.1088/0957-0233/11/12/703
Two-dimensional X-ray CT image based meso-scale fracture modelling of concrete, Engineering Fracture Mechanics, vol.133, pp.24-39 ,
DOI : 10.1016/j.engfracmech.2014.10.016
Estimation of mixed-mode stress intensity factors using digital image correlation and an interaction integral, International Journal of Fracture, vol.1, issue.3, pp.65-79, 2005. ,
DOI : 10.1007/s10704-004-8141-4
Extended three-dimensional digital image correlation (x3d-dic) Comptes Rendus Mécanique, pp.643-649, 2008. ,
Measure of texture anisotropy for crack detection on textured surfaces, Electronics Letters, vol.32, issue.14, pp.1274-1275, 1996. ,
DOI : 10.1049/el:19960872
Rupture en compression des structures hétérogènes à base de matériaux quasifragiles, 2013. ,
Detection of crack onset in double cleavage drilled specimens of plaster under compression by digital image correlationtheoretical predictions based on a coupled criterion, European Journal of Mechanics - Bibliography ,
Computational modeling of concrete fracture, p.95, 1988. ,
Stress intensity factor measurements from digital image correlation: post-processing and integrated approaches, International Journal of Fracture, vol.40, issue.1, pp.141-157, 2006. ,
DOI : 10.1007/s10704-006-6631-2
URL : https://hal.archives-ouvertes.fr/hal-00013818
Three-dimensional image correlation from X-ray computed tomography of solid foam, Composites Part A: Applied Science and Manufacturing, vol.39, issue.8, pp.1253-1265, 2008. ,
DOI : 10.1016/j.compositesa.2007.11.011
URL : https://hal.archives-ouvertes.fr/hal-01006730
Digital image correlation and fracture: an advanced technique for estimating stress intensity factors of 2D and 3D cracks, Journal of Physics D: Applied Physics, vol.42, issue.21, pp.214004-214018, 2009. ,
DOI : 10.1088/0022-3727/42/21/214004
URL : https://hal.archives-ouvertes.fr/hal-00381646
Iterative methods for sparse linear systems. Siam, 2003. ,
Slow crack growth study of plaster using the double torsion method, Ceramics International, vol.26, issue.4, pp.435-439, 2000. ,
DOI : 10.1016/S0272-8842(99)00078-4
Applications of pulse heating thermography and lock-in thermography to quantitative nondestructive evaluations, Infrared Physics & Technology, vol.43, issue.3-5, pp.211-218, 2002. ,
DOI : 10.1016/S1350-4495(02)00141-X
X-ray micro-tomography an attractive characterisation technique in materials science, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, vol.200, pp.273-286, 2003. ,
DOI : 10.1016/S0168-583X(02)01689-0
URL : https://hal.archives-ouvertes.fr/hal-00475146
The failure of brittle porous solids under compressive stress states, Acta Metallurgica, vol.34, issue.3, pp.511-537, 1986. ,
DOI : 10.1016/0001-6160(86)90087-8
Predicting the permeability of trabecular bone by micro-computed tomography and finite element modeling, Journal of Biomechanics, vol.47, issue.12, pp.3129-3134 ,
DOI : 10.1016/j.jbiomech.2014.06.024
X-ray computed microtomography of internal damage in fiber reinforced polymer matrix composites, Composites Science and Technology, vol.65, issue.14, pp.2071-2078, 2005. ,
DOI : 10.1016/j.compscitech.2005.05.014
Phase Field Approximation of Dynamic Brittle Fracture, PAMM, vol.14, issue.1, pp.1141-1161 ,
DOI : 10.1002/pamm.201410059
Eigenfracture: An Eigendeformation Approach to Variational Fracture, Multiscale Modeling & Simulation, vol.7, issue.3, pp.1237-1266, 2009. ,
DOI : 10.1137/080712568
Systematic errors in digital image correlation due to undermatched subset shape functions, Experimental Mechanics, vol.41, issue.1, pp.303-310, 2002. ,
DOI : 10.1007/BF02410987
Digital volume correlation including rotational degrees of freedom during minimization, Experimental Mechanics, vol.48, issue.10, pp.272-278, 2002. ,
DOI : 10.1007/BF02410982
Specimen preparation and image processing and analysis techniques for automated quantification of concrete microcracks and voids, Cement and Concrete Research, vol.33, issue.12, pp.1949-1962, 2003. ,
DOI : 10.1016/S0008-8846(03)00219-9
X-ray tomography for evaluation of damage in concrete bond, 2006. ,
Initiation and propagation of compaction bands in dry and wet bentheim sandstone, Rock Physics and Natural Hazards, pp.846-868, 2009. ,
Computed tomography part III: Volumetric, High-Resolution X-Ray analysis of fatigue crack closure, JOM, vol.51, issue.1, pp.19-23, 1995. ,
DOI : 10.1007/BF03221124
Epoxy impregnation of hardened cement for microstructural characterization, Journal of Materials Science Letters, vol.114, issue.6, pp.632-634, 1989. ,
DOI : 10.1007/BF01730426
Fast in-situ X-ray micro tomography characterisation of microstructural evolution and strain-induced damage in alloys at various temperatures, International Journal of Materials Research, vol.101, issue.9, pp.1080-1088 ,
DOI : 10.3139/146.110386
Arbitrary branched and intersecting cracks with the extended finite element method, International Journal for Numerical Methods in Engineering, vol.48, pp.1741-1760, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-01005274
Extended finite element method for three-dimensional crack modelling, International Journal for Numerical Methods in Engineering, vol.15, issue.11, pp.1549-1570, 2000. ,
DOI : 10.1002/1097-0207(20000820)48:11<1549::AID-NME955>3.0.CO;2-A
URL : https://hal.archives-ouvertes.fr/hal-01006859
Measuring Microscopic Deformations with Digital Image Correlation, Optics and Lasers in Engineering, vol.27, issue.4, pp.409-428, 1997. ,
DOI : 10.1016/S0143-8166(96)00041-3
Image correlation for shape, motion and deformation measurements: basic concepts, theory and applications, 2009. ,
Determination of displacements using an improved digital correlation method, Image and Vision Computing, vol.1, issue.3, pp.133-139, 1983. ,
DOI : 10.1016/0262-8856(83)90064-1
Elastic crack growth in finite elements with minimal remeshing. International Advances in Surgical OncologyJournal for Numerical Methods in Engineering, pp.601-620, 1999. ,
Modeling of compression-induced splitting failure in heterogeneous brittle porous solids, Engineering Fracture Mechanics, vol.72, issue.4, pp.597-615, 2005. ,
DOI : 10.1016/j.engfracmech.2004.04.008
A gradient approach to localization of deformation. I. Hyperelastic materials, Journal of Elasticity, vol.5, issue.3, pp.225-237, 1986. ,
DOI : 10.1007/BF00040814
Micro-finite element modelling of oke blends using x-ray microtomography, Fuel, vol.87, pp.13-142983, 2008. ,
Computerized tomography and C-Scan for measuring delamination in the drilling of composite materials using various drills, International Journal of Machine Tools and Manufacture, vol.45, issue.11, pp.1282-1287, 2005. ,
DOI : 10.1016/j.ijmachtools.2005.01.009
Model studies of fibre breakage and debonding in a metal reinforced by short fibres, Journal of the Mechanics and Physics of Solids, vol.41, issue.8, pp.1309-1326, 1993. ,
DOI : 10.1016/0022-5096(93)90081-P
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
A digital image correlation method for fatigue test experiments, Optics and Lasers in Engineering, vol.47, issue.3-4, pp.371-378, 2009. ,
DOI : 10.1016/j.optlaseng.2008.03.016
Vector level sets for description of propagating cracks in finite elements, International Journal for Numerical Methods in Engineering, vol.57, issue.10, pp.1571-92, 2003. ,
DOI : 10.1002/nme.829
A phase-field model for cohesive fracture, International Journal for Numerical Methods in Engineering, vol.1, issue.220, pp.43-62 ,
DOI : 10.1002/nme.4553
A phase-field model for cohesive fracture, International Journal for Numerical Methods in Engineering, vol.1, issue.220, pp.43-62 ,
DOI : 10.1002/nme.4553
A three-dimensional digital image correlation technique for strain measurements in microstructures, Journal of Biomechanics, vol.37, issue.9, pp.1313-1320, 2004. ,
DOI : 10.1016/j.jbiomech.2003.12.036
Phase-field models for brittle and cohesive fracture, Meccanica, vol.96, issue.9, pp.2587-2601 ,
DOI : 10.1007/s11012-013-9862-0
In situ compressive damage of cement paste characterized by lab source X-ray computer tomography, Materials Characterization, vol.82, pp.32-40 ,
DOI : 10.1016/j.matchar.2013.05.004
micro-mechanical experimental investigation and modelling of strain and damage of argillaceous rocks under combined hydric and mechanical loads, 2012. ,
On the mechanical modeling of functionally graded interfacial zone with a Griffith crack: plane deformation, International Journal of Fracture, vol.125, issue.1, pp.189-205, 2004. ,
DOI : 10.1023/B:FRAC.0000021042.28804.f1
A new method for modelling cohesive cracks using finite elements, International Journal for Numerical Methods in Engineering, vol.3, issue.12, pp.2667-2682, 2001. ,
DOI : 10.1002/nme.143
Listening to the sound of materials: Acoustic emission for the analysis of material behaviour, NDT & E International, vol.30, issue.2, pp.99-106, 1997. ,
DOI : 10.1016/S0963-8695(96)00051-5
Crack opening displacements during fatigue crack growth in Ti???SiC fibre metal matrix composites by X-ray tomography, Materials Science and Technology, vol.22, issue.9, pp.1052-1058, 2006. ,
DOI : 10.1016/0022-5096(87)90006-8
Experimental and numerical study on splitting failure of brittle solids containing single pore under uniaxial compression, Mechanics of Materials, vol.38, issue.1-2, pp.142-159, 2006. ,
DOI : 10.1016/j.mechmat.2005.05.017
Ultra High Resolution Computed Tomography of Damage in Notched Carbon Fiber--Epoxy Composites, Journal of Composite Materials, vol.42, issue.19, pp.1993-2002, 2008. ,
DOI : 10.1177/0021998308092211
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
Optimized optical setup for DIC in rock mechanics, EPJ Web of Conferences, pp.22019-121, 2010. ,
DOI : 10.1051/epjconf/20100622019
URL : https://hal.archives-ouvertes.fr/hal-00545562
Damage assessment and reliability evaluation of existing structures, Engineering Structures, vol.1, issue.5, pp.245-251, 1979. ,
DOI : 10.1016/0141-0296(79)90005-1
A fast method for solving microstructural problems defined by digital images: a space Lippmann-Schwinger scheme, International Journal for Numerical Methods in Engineering, vol.40, issue.1, pp.178-205 ,
DOI : 10.1002/nme.4334
URL : https://hal.archives-ouvertes.fr/hal-00822037
Dynamic crack propagation with cohesive elements: a methodology to address mesh dependency, International Journal for Numerical Methods in Engineering, vol.59, issue.1, pp.1-24, 2004. ,
DOI : 10.1002/nme.857
A method for growing multiple cracks without remeshing and its application to fatigue crack growth, Modelling and Simulation in Materials Science and Engineering, vol.12, issue.5, p.901, 2004. ,
DOI : 10.1088/0965-0393/12/5/009