]. F. Abbassi, T. Belhadj, S. Mistou, and A. A. Zghal, Jacquet Metal Service Parameter identification of a mechanical ductile damage using artificial neural networks in sheet metal forming, Alloy 625 data sheet, pp.45-605, 2013.

E. Aero-and-e and . Kuvshinskii, Fundamental equations of the theory of elastic media with rotationally interacting particles, Soviet Physics-Solid State, pp.1272-1281, 1960.

F. Amiot, F. Hild, and A. J. Roger, Identification of elastic property and loading fields from full-field displacement measurements, International Journal of Solids and Structures, vol.44, issue.9, pp.2863-2887, 2007.
DOI : 10.1016/j.ijsolstr.2006.08.031

URL : https://hal.archives-ouvertes.fr/hal-00138298

S. Andrieux, T. N. Baranger, A. A. Ben-abda-s, M. Avril, A. Bonnet et al., Solving Cauchy problems by minimizing an energy-like functional, Inverse Problems, vol.22, issue.1, pp.115-163, 2006.
DOI : 10.1088/0266-5611/22/1/007

URL : https://hal.archives-ouvertes.fr/hal-00139569

]. S. Avril-and-f and . Pierron, General framework for the identification of constitutive parameters from full-field measurements in linear elasticity, International Journal of Solids and Structures, vol.44, issue.14-15, pp.4978-5002, 2007.
DOI : 10.1016/j.ijsolstr.2006.12.018

S. Avril, F. Pierron, M. A. Sutton, and A. J. Yan, Identification of elasto-visco-plastic parameters and characterization of lüders behavior using digital image correlation and the virtual fields method, Mechanics of Materials, pp.40-729, 2008.

]. I. Babu?ka, Error-bounds for finite element method, Numerische Mathematik, vol.3, issue.1-3, pp.322-333, 1971.
DOI : 10.1145/320911.320915

D. Banabic, Sheet Metal Forming Processes: Constitutive Modelling and Numerical Simulation, 2010.
DOI : 10.1007/978-3-540-88113-1

Z. P. Ba?ant-and-m and . Jirásek, 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)

A. Benallal-and-v and . Tvergaard, Nonlocal continuum effects on bifurcation in the plane strain tension-compression test, Journal of the Mechanics and Physics of Solids, vol.43, issue.5, pp.741-770, 1995.
DOI : 10.1016/0022-5096(95)00002-Z

N. A. Benseddiq and . Imad, A ductile fracture analysis using a local damage model, International Journal of Pressure Vessels and Piping, vol.85, issue.4, pp.219-227, 2008.
DOI : 10.1016/j.ijpvp.2007.09.003

URL : https://hal.archives-ouvertes.fr/hal-00273717

J. Besson, Continuum Models of Ductile Fracture: A Review, International Journal of Damage Mechanics, vol.121, issue.1, pp.3-52, 2010.
DOI : 10.1016/S0013-7944(00)00055-2

URL : https://hal.archives-ouvertes.fr/hal-00550957

J. Besson, M. Blétry, G. Cailletaud, J. Chaboche, and A. S. Forest, Linear Mechanics of Materials, Solid Mechanics and Its Applications, 2009.

J. Black-and-r, . Kohser, and . Degarmo, s Materials and Processes in Manufacturing, 2010.

M. A. Bonnet and . Constantinescu, Inverse problems in elasticity, Inverse Problems, 2005.
DOI : 10.1088/0266-5611/21/2/R01

URL : https://hal.archives-ouvertes.fr/hal-00111264

B. L. Boyce, S. L. Kramer, T. R. Bosiljevac, E. Corona, J. A. Moore et al., The second Sandia Fracture Challenge: predictions of ductile failure under quasi-static and moderate-rate dynamic loading, International Journal of Fracture, vol.186, issue.1-2, pp.198-203, 2016.
DOI : 10.1007/s10704-013-9917-1

URL : https://hal.archives-ouvertes.fr/hal-01305640

B. L. Boyce, S. L. Kramer, H. E. Fang, T. E. Cordova, M. K. Neilsen et al., The Sandia Fracture Challenge: blind round robin predictions of ductile tearing, International Journal of Fracture, vol.77, issue.3, pp.186-191, 2014.
DOI : 10.1016/j.engfracmech.2009.10.007

S. Boyd and L. Vandenberghe, Convex Optimization, Berichte über verteilte messysteme, 2004.

G. Bradski, . Opencv, . Dr, and . Dobb, Journal of Software Tools, 2000.

F. Brezzi, On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers, Revue française d'automatique, informatique, recherche opérationnelle, Analyse numérique, pp.129-151, 1974.

G. B. Broggiato, F. Campana, and A. L. Cortese, Identification of Material Damage Model Parameters: an Inverse Approach Using Digital Image Processing, Meccanica, vol.34, issue.1, pp.42-51, 2007.
DOI : 10.1007/s11012-006-9019-5

M. Brunet, F. Morestin, and A. H. Walter, Damage Identification for Anisotropic Sheet-Metals Using a Non-Local Damage Model, International Journal of Damage Mechanics, vol.13, issue.1, pp.35-57, 2004.
DOI : 10.1016/S0020-7683(01)00087-7

URL : https://hal.archives-ouvertes.fr/hal-00450600

L. Bruno, G. Felice, L. Pagnotta, A. Poggialini, and A. G. Stigliano, Elastic characterization of orthotropic plates of any shape via static testing, International Journal of Solids and Structures, vol.45, issue.3-4, pp.45-908, 2008.
DOI : 10.1016/j.ijsolstr.2007.09.017

D. G. Cacuci, M. Ionescu-bujor, and A. I. Navon, Sensitivity and uncertainty analysis, volume II: applications to large-scale systems, 2005.
DOI : 10.1201/9780203483572

H. Chalal, S. Avril, F. Pierron, and A. F. Meraghni, Experimental identification of a nonlinear model for composites using the grid technique coupled to the virtual fields method, Composites Part A: Applied Science and Manufacturing, vol.37, issue.2, pp.315-325, 2006.
DOI : 10.1016/j.compositesa.2005.04.020

URL : https://hal.archives-ouvertes.fr/emse-00505330

F. Champagnat, A. Plyer, G. Le-besnerais, B. Leclaire, S. Davoust et al., Fast and accurate PIV computation using highly parallel iterative correlation maximization, Experiments in Fluids, vol.3, issue.2, pp.50-1169, 2011.
DOI : 10.2514/1.18062

A. Cimetière, F. Delvare, M. Jaoua, and A. F. Pons, Solution of the Cauchy problem using iterated Tikhonov regularization, Inverse Problems, vol.17, issue.3, p.553, 2001.
DOI : 10.1088/0266-5611/17/3/313

D. Claire, F. Hild, and A. S. Roux, A finite element formulation to identify damage fields: the equilibrium gap method, International Journal for Numerical Methods in Engineering, vol.61, issue.2, pp.61-189, 2004.
DOI : 10.1002/nme.1057

URL : https://hal.archives-ouvertes.fr/hal-00002899

S. Cooreman, Identification of the plastic material behaviour through full-field displacement measurements and inverse methods, 2008.

E. Cosserat-and-f and . Cosserat, Théorie Des Corps Déformables, Hermann et fils, 1909.

N. Cottin, H. P. Felgenhauer, and A. H. Natke, Zur parameteridentifikation elastomechanischer Systeme unter Verwendung von Eingangs- und Ausgangsresiduen, Ingenieur-Archiv, vol.61, issue.5, pp.378-387, 1984.
DOI : 10.1007/BF00532820

L. Crouzeix, J. N. Périé, F. Collombet, and A. B. Douchin, An orthotropic variant of the equilibrium gap method applied to the analysis of a biaxial test on a composite material, Composites Part A: Applied Science and Manufacturing, vol.40, issue.11, pp.40-1732, 2009.
DOI : 10.1016/j.compositesa.2009.08.016

S. Cuvilliez, Passage d'un modèle d'endommagement continu régularisé à un modèle de fissuration cohésive dans le cadre de la rupture quasi-fragile, 2012.

A. Dogui-and-f and . Sidoroff, Rhéologie anisotrope en grandes déformations, Rhéologie des matériaux anisotropes, pp.69-78, 1986.

J. Dournaux, S. Bouvier, A. Aouafi, and A. P. Vacher, Full-field measurement technique and its application to the analysis of materials behaviour under plane strain mode, Materials Science and Engineering: A, vol.500, issue.1-2, pp.500-547, 2009.
DOI : 10.1016/j.msea.2008.09.052

URL : https://hal.archives-ouvertes.fr/hal-00453959

D. Drucker, A definition of stable inelastic material, ASME Journal of Applied Mechanics, vol.26, pp.101-195, 1959.
DOI : 10.21236/AD0143756

URL : http://www.dtic.mil/dtic/tr/fulltext/u2/143756.pdf

A. L. Edward, The invention and definition of alloy 625, The Mineral, Metals and Materials Society, 1991.

R. A. Engelen, M. G. Geers, and A. F. Baaijens, Nonlocal implicit gradient-enhanced elasto-plasticity for the modelling of softening behaviour, International Journal of Plasticity, vol.19, issue.4, pp.403-433, 2003.
DOI : 10.1016/S0749-6419(01)00042-0

J. Faleskog, X. Gao, and A. C. Shih, Cell model for nonlinear fracture analysis ? i. micromechanics calibration, International Journal of Fracture, 1998.

C. Farhat and F. M. Hemez, Updating finite element dynamic models using an elementby-element sensitivity methodology, AIAA journal, p.31, 1993.

R. Fedele, B. Raka, F. Hild, and A. S. Roux, Identification of adhesive properties in GLARE assemblies using digital image correlation, Journal of the Mechanics and Physics of Solids, vol.57, issue.7, pp.1003-1016, 2009.
DOI : 10.1016/j.jmps.2009.04.005

URL : https://hal.archives-ouvertes.fr/hal-00376485

S. Feld-payet, Amorçage et propagation de fissures dans les milieux ductiles non locaux, 2010.

M. A. Fischler and R. C. Bolles, Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography, Commun. ACM, pp.24-381, 1981.
DOI : 10.1016/b978-0-08-051581-6.50070-2

URL : http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA460585&Location=U2&doc=GetTRDoc.pdf

E. Florentin-and-g and . Lubineau, Using constitutive equation gap method for identification of elastic material parameters: technical insights and illustrations, International Journal on Interactive Design and Manufacturing (IJIDeM), vol.196, issue.1???3, pp.227-234, 2011.
DOI : 10.1016/j.cma.2006.03.006

S. Forest, Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage, Journal of Engineering Mechanics, vol.135, issue.3, pp.117-131, 2009.
DOI : 10.1061/(ASCE)0733-9399(2009)135:3(117)

URL : https://hal.archives-ouvertes.fr/hal-00368014

X. Gao, J. Faleskog, C. Shih, and A. R. Dodds, Ductile tearing in part-through cracks: experiments and cell-model predictions, Engineering Fracture Mechanics, vol.59, issue.6, pp.59-761, 1998.
DOI : 10.1016/S0013-7944(97)00174-4

N. Germain, Modélisation non locale de l'endommagement dans les structure composites, 2006.

M. Gologanu, J. Leblond, and A. J. Devaux, Approximate models for ductile metals containing non-spherical voids???Case of axisymmetric prolate ellipsoidal cavities, Journal of the Mechanics and Physics of Solids, vol.41, issue.11, pp.41-1723, 1993.
DOI : 10.1016/0022-5096(93)90029-F

M. Grediac-and-f and . Hild, Full-Field Measurements and Identification in Solid Mechanics, ISTE, 2012.

M. Grédiac, F. Pierron, and A. Y. Surrel, Novel procedure for complete in-plane composite characterization using a single T-shaped specimen, Experimental Mechanics, vol.36, issue.1, pp.39-142, 1999.
DOI : 10.1177/002199839803202201

M. Grédiac, Principe des travaux virtuels et identification, Comptes rendus de l'académie des sciences, pp.1-5, 1989.

M. Grédiac, The use of full-field measurement methods in composite material characterization: interest and limitations, Composites Part A: Applied Science and Manufacturing, vol.35, issue.7-8, pp.751-761, 2004.
DOI : 10.1016/j.compositesa.2004.01.019

M. Grédiac, E. Toussaint, and A. F. Pierron, Special virtual fields for the direct determination of material parameters with the virtual fields method. 1??????Principle and definition, International Journal of Solids and Structures, vol.39, issue.10, pp.2691-2705, 2002.
DOI : 10.1016/S0020-7683(02)00127-0

, Special virtual fields for the direct determination of material parameters with the virtual fields method. 3?application to the bending rigidities of anisotropic plates, International Journal of Solids and Structures, pp.40-2401, 2003.

A. L. Gurson, Continuum theory of ductile rupture by void nucleation and growth: Part i?yield criteria and flow rules for porous ductile media, Journal of Engineering Materials and Technology, pp.99-101, 1977.

K. Gustafson, Domain decomposition, operator trigonometry, Robin condition, Contemporary Mathematics, vol.218, pp.432-437, 1998.
DOI : 10.1090/conm/218/3039

J. Hadamard, Le problème de Cauchy et les équations aux dérivées partielles linéaires hyperboliques: leçons professées à l, 1932.

H. Haddadi-and-s and . Belhabib, Improving the characterization of a hardening law using digital image correlation over an enhanced heterogeneous tensile test, International Journal of Mechanical Sciences, vol.62, issue.1, pp.47-56, 2012.
DOI : 10.1016/j.ijmecsci.2012.05.012

E. Heripre, M. Dexet, J. Crepin, L. Gelebart, A. Roos et al., 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

F. Hild, A. Bouterf, L. Chamoin, H. Leclerc, F. Mathieu et al., Toward 4D mechanical correlation, Advanced Modeling and Simulation in Engineering Sciences, vol.51, issue.2, p.17, 2016.
DOI : 10.1177/0309324715614759

URL : https://hal.archives-ouvertes.fr/hal-01310582

R. Hill, A general theory of uniqueness and stability in elastic-plastic solids, Journal of the Mechanics and Physics of Solids, vol.6, issue.3, pp.236-249, 1958.
DOI : 10.1016/0022-5096(58)90029-2

W. F. Hosford, A Generalized Isotropic Yield Criterion, Journal of Applied Mechanics, vol.39, issue.2, pp.607-609, 1972.
DOI : 10.1115/1.3422732

J. W. Hutchinson, Fundamentals of the Phenomenological Theory of Nonlinear Fracture Mechanics, Journal of Applied Mechanics, vol.50, issue.4b, pp.50-1042, 1983.
DOI : 10.1115/1.3167187

L. Kachanov, Time of the rupture process under creep conditions, Izvestiya Akademii Nauk SSSR, vol.8, pp.26-31, 1958.

J. Kajberg-and-g and . Lindkvist, Characterisation of materials subjected to large strains by inverse modelling based on in-plane displacement fields, International Journal of Solids and Structures, vol.41, issue.13, pp.41-3439, 2004.
DOI : 10.1016/j.ijsolstr.2004.02.021

J. Kajberg-and-b and . Wikman, Viscoplastic parameter estimation by high strain-rate experiments and inverse modelling ??? Speckle measurements and high-speed photography, International Journal of Solids and Structures, vol.44, issue.1, pp.145-164, 2007.
DOI : 10.1016/j.ijsolstr.2006.04.018

P. Kelly, Solid Mechanics Lecture Notes, 2013.

J. Kleinermann, Identification paramétrique et optimisation des procédés de mise à forme par problèmes inverses, 2000.

V. Kozák-and-l and . Vl?ekvl?vl?ek, Parameters Identification for GTN Model and Their Verification on 42CrMo4 Steel, Materials Science Forum, vol.482, pp.335-338, 2005.
DOI : 10.4028/www.scientific.net/MSF.482.335

E. Kröner, Elasticity theory of materials with long range cohesive forces, International Journal of Solids and Structures, vol.3, issue.5, pp.731-742, 1967.
DOI : 10.1016/0020-7683(67)90049-2

P. Ladevèze, N. Moës, and A. B. Douchin, Constitutive relation error estimators for (visco)plastic finite element analysis with softening, Computer Methods in Applied Mechanics and Engineering, vol.176, issue.1-4, pp.247-264, 1999.
DOI : 10.1016/S0045-7825(98)00340-5

W. Lai, D. Rubin, D. Rubin, and A. E. Krempl, Introduction to Continuum Mechanics, 2009.

G. , L. Besnerais, and A. F. Champagnat, Dense optical flow by iterative local window registration, pp.137-140, 2005.

G. Le-besnerais, Y. Le, A. D. Sant, and . Lévêque, Fast and Dense 2D and 3D Displacement Field Estimation by a Highly Parallel Image Correlation Algorithm, Strain, vol.60, issue.4, pp.52-286, 2016.
DOI : 10.1016/j.actamat.2012.06.045

URL : https://hal.archives-ouvertes.fr/hal-01403032

Y. Le-sant, B. Deléglise, and A. Y. Mebarki, An automatic image alignment method applied to pressure sensitive paint measurements, ICIASF'97 Record. International Congress on Instrumentation in Aerospace Simulation Facilities, pp.57-65, 1997.
DOI : 10.1109/ICIASF.1997.644658

Y. Le-sant, V. Todoroff, A. Bernard-brunel, G. Le-besnerais, F. Micheli et al., Multi-camera calibration for 3dbos, 17th international symposium on applications of laser techniques to fluid mechanics, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01083613

D. Lecompte, A. Smits, H. Sol, J. Vantomme, and A. D. Van-hemelrijck, Mixed numerical???experimental technique for orthotropic parameter identification using biaxial tensile tests on cruciform specimens, International Journal of Solids and Structures, vol.44, issue.5, pp.1643-1656, 2007.
DOI : 10.1016/j.ijsolstr.2006.06.050

URL : https://doi.org/10.1016/j.ijsolstr.2006.06.050

E. H. Lee, Elastic-Plastic Deformation at Finite Strains, Journal of Applied Mechanics, vol.36, issue.1, pp.1-6, 1969.
DOI : 10.1115/1.3564580

URL : http://www.dtic.mil/dtic/tr/fulltext/u2/678483.pdf

J. J. Lemaitre and . Chaboche, Mechanics of Solid Materials, 1994.

K. Levenberg, A method for the solution of certain non-linear problems in least squares, Quarterly of Applied Mathematics, vol.2, issue.2, pp.164-168, 1944.
DOI : 10.1090/qam/10666

D. Levin, The approximation power of moving least-squares, Mathematics of Computation, vol.67, issue.224, pp.1517-1531, 1998.
DOI : 10.1090/S0025-5718-98-00974-0

H. Li, M. Fu, J. Lu, and A. H. Yang, Ductile fracture: Experiments and computations, International Journal of Plasticity, vol.27, issue.2, pp.147-180, 2011.
DOI : 10.1016/j.ijplas.2010.04.001

E. Lorentz, Constitutive relations with gradients of internal variables : derivation, variational formulation and numerical setting, 1999.
URL : https://hal.archives-ouvertes.fr/tel-00474024

E. Lorentz-and-s and . Andrieux, Analysis of non-local models through energetic formulations, International Journal of Solids and Structures, vol.40, issue.12, pp.2905-2936, 2003.
DOI : 10.1016/S0020-7683(03)00110-0

E. A. Lorentz and . Benallal, 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-01718363

E. Lorentz-and-v and . Godard, Gradient damage models: Toward full-scale computations, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.21-22, pp.1927-1944, 2011.
DOI : 10.1016/j.cma.2010.06.025

J. Lubliner and P. Theory, , 2008.

R. Mahnken, Aspects on the finite-element implementation of the Gurson model including parameter identification, International Journal of Plasticity, vol.15, issue.11, pp.1111-1137, 1999.
DOI : 10.1016/S0749-6419(99)00029-7

, A comprehensive study of a multiplicative elastoplasticity model coupled to damage including parameter identification, Computers and Structures, pp.179-200, 2000.

R. Mahnken-and-e and . Stein, Parameter identification for finite deformation elasto-plasticity in principal directions, Computer Methods in Applied Mechanics and Engineering, vol.147, issue.1-2, pp.17-39, 1997.
DOI : 10.1016/S0045-7825(97)00008-X

E. Markiewicz, P. Ducrocq, and A. P. Drazetic, An inverse approach to determine the constitutive model parameters from axial crushing of thin-walled square tubes, International Journal of Impact Engineering, vol.21, issue.6, pp.433-449, 1998.
DOI : 10.1016/S0734-743X(98)00004-9

D. W. Marquardt, An Algorithm for Least-Squares Estimation of Nonlinear Parameters, Journal of the Society for Industrial and Applied Mathematics, vol.11, issue.2, pp.431-441, 1963.
DOI : 10.1137/0111030

B. Max, Comportement mécanique et couplage mécanique-oxydation dans l'alliage 718: effet des éléments en solution solide, 2014.

M. Meuwissen, C. Oomens, F. Baaijens, R. Petterson, and A. J. Janssen, Determination of the elasto-plastic properties of aluminium using a mixed numerical???experimental method, Journal of Materials Processing Technology, vol.75, issue.1-3, pp.75-204, 1998.
DOI : 10.1016/S0924-0136(97)00366-X

M. M. Meuwissen, An inverse method for the mechanical characterisation of metals, 1998.

C. Miehe, N. Apel, and A. M. Lambrecht, Anisotropic additive plasticity in the logarithmic strain space: modular kinematic formulation and implementation based on incremental minimization principles for standard materials, Computer Methods in Applied Mechanics and Engineering, vol.191, issue.47-48, pp.5383-5425, 2002.
DOI : 10.1016/S0045-7825(02)00438-3

R. V. Mises, Mechanik der festen körper im plastisch-deformablen zustand, pp.582-592, 1913.

V. A. Morozov, On the solution of functional equations by the method of regularization, Soviet Mathematics Doklady, vol.7, pp.414-417, 1966.

N. Moës, C. Stolz, P. Bernard, and A. 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, pp.358-380, 2011.
DOI : 10.1002/nme.1130

S. Murakami, Continuum Damage Mechanics: A Continuum Mechanics Approach to the Analysis of Damage and Fracture, Solid Mechanics and Its Applications, 2012.
DOI : 10.1007/978-94-007-2666-6

J. A. Nelder-and-r and . Mead, A simplex method for function minimization, The computer journal, pp.308-313, 1965.

D. Notta-cuvier, B. Langrand, F. Lauro, and A. E. Markiewicz, An innovative procedure for characterising a coupled elastoplastic damage model of behaviour using the Virtual Fields Method, International Journal of Solids and Structures, vol.69, issue.70, pp.69-70, 2015.
DOI : 10.1016/j.ijsolstr.2015.05.009

URL : https://hal.archives-ouvertes.fr/hal-01232504

B. Pan, K. Qian, H. Xie, and A. A. , ASUNDI, Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review, Measurement Science and Technology, p.20, 2009.
DOI : 10.1088/0957-0233/20/6/062001

P. J. Papadopoulos and . Lu, A general framework for the numerical solution of problems in finite elasto-plasticity, Computer Methods in Applied Mechanics and Engineering, vol.159, issue.1-2, pp.1-18, 1998.
DOI : 10.1016/S0045-7825(98)80101-1

R. H. Peerlings, R. De-borst, W. A. Brekelmans, A. J. De, and . Vree, GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS, International Journal for Numerical Methods in Engineering, vol.23, issue.19, pp.3391-3403, 1996.
DOI : 10.1016/0020-7683(87)90083-7

G. Perrin and J. Leblond, Analytical study of a hollow sphere made of plastic porous material and subjected to hydrostatic tension-application to some problems in ductile fracture of metals, International Journal of Plasticity, vol.6, issue.6, pp.677-699, 1990.
DOI : 10.1016/0749-6419(90)90039-H

T. Pottier, Constitutive parameter identification using finite element updating method associated with kinematic and thermal full field measurements, 2010.
URL : https://hal.archives-ouvertes.fr/tel-00566788

J. N. Périé, H. Leclerc, S. Roux, and A. F. Hild, Digital image correlation and biaxial test on composite material for anisotropic damage law identification, International Journal of Solids and Structures, vol.46, issue.11-12, pp.2388-2396, 2009.
DOI : 10.1016/j.ijsolstr.2009.01.025

Y. Rabotnov, Creep Problems in Structural Members, Journal of Applied Mechanics, vol.37, issue.1, 1969.
DOI : 10.1115/1.3408479

J. Rice, A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks, Journal of Applied Mechanics, vol.35, issue.2, pp.379-386, 1968.
DOI : 10.1115/1.3601206

URL : http://www.dtic.mil/dtic/tr/fulltext/u2/653716.pdf

J. J. Rice and . Rudnicki, A note on some features of the theory of localization of deformation, International Journal of Solids and Structures, vol.16, issue.7, pp.597-605, 1980.
DOI : 10.1016/0020-7683(80)90019-0

J. R. Rice and D. M. Tracey, On the ductile enlargement of voids in triaxial stress fields???, Journal of the Mechanics and Physics of Solids, vol.17, issue.3, pp.201-217, 1969.
DOI : 10.1016/0022-5096(69)90033-7

L. Robert, V. Velay, N. Decultot, and A. S. Ramde, Identification of hardening parameters using finite element models and full-field measurements: some case studies, The Journal of Strain Analysis for Engineering Design, vol.47, issue.1, pp.47-50, 2012.
DOI : 10.1016/j.ijmecsci.2007.05.009

URL : https://hal.archives-ouvertes.fr/hal-00736790

D. Rogula, Nonlocal Theory of Material Media, CISM International Centre for Mechanical Sciences

G. Rousselier, Ductile fracture models and their potential in local approach of fracture, Nuclear Engineering and Design, vol.105, issue.1, pp.97-111, 1987.
DOI : 10.1016/0029-5493(87)90234-2

C. Runge, Über empirische funktionen und die interpolation zwischen äquidistanten ordinaten, Zeitschrift für Mathematik und Physik, pp.224-243, 1901.

V. Shankar, K. B. Sankara, A. S. Rao, and . Mannan, Microstructure and mechanical properties of Inconel 625 superalloy, Journal of Nuclear Materials, vol.288, issue.2-3, pp.222-232, 2001.
DOI : 10.1016/S0022-3115(00)00723-6

A. J. Shutov and . Ihlemann, Analysis of some basic approaches to finite strain elasto-plasticity in view of reference change, International Journal of Plasticity, vol.63, pp.183-197, 2014.
DOI : 10.1016/j.ijplas.2014.07.004

G. Silva, Identification of material properties using finite elements and full-field measurements with focus on the characterization of deterministic experimental errors, 2009.

K. Spranghers, I. Vasilakos, D. Lecompte, H. Sol, and A. J. Vantomme, Identification of the plastic behavior of aluminum plates under free air explosions using inverse methods and full-field measurements, International Journal of Solids and Structures, vol.51, issue.1, pp.51-210, 2014.
DOI : 10.1016/j.ijsolstr.2013.09.027

M. Springmann-and-m and . Kuna, Identification of material parameters of the Gurson???Tvergaard???Needleman model by combined experimental and numerical techniques, Computational Materials Science, vol.32, issue.3-4, pp.544-552, 2005.
DOI : 10.1016/j.commatsci.2004.09.010

, Determination of ductile damage parameters by local deformation fields: Measurement and simulation, Archive of Applied Mechanics, pp.75-775, 2006.

R. Szeliski, Computer Vision: Algorithms and Applications, Texts in Computer Science, 2010.
DOI : 10.1007/978-1-84882-935-0

B. Tanguy, T. Luu, G. Perrin, A. Pineau, and A. J. Besson, Plastic and damage behaviour of a high strength X100 pipeline steel: Experiments and modelling, International Journal of Pressure Vessels and Piping, vol.85, issue.5, pp.322-335, 2008.
DOI : 10.1016/j.ijpvp.2007.11.001

URL : https://hal.archives-ouvertes.fr/hal-00280890

A. Tikhonov-and-v and . Arsenin, Solutions of ill-posed problems, Scripta series in mathematics, 1977.

S. Timoshenko, Theory of Elasticity, Engineering societies monographs, 1934.

E. Toussaint, M. Grédiac, and A. F. Pierron, The virtual fields method with piecewise virtual fields, International Journal of Mechanical Sciences, vol.48, issue.3, pp.256-264, 2006.
DOI : 10.1016/j.ijmecsci.2005.10.002

V. Tvergaard, Mechanical modelling of ductile fracture, Meccanica, vol.39, issue.1, pp.26-37, 1991.
DOI : 10.1007/BF00517719

V. A. Tvergaard and . Needleman, Analysis of the cup-cone fracture in a round tensile bar, Acta metallurgica, pp.157-169, 1984.

E. Voce, The relationship between stress and strain for homogeneous deformations, Journal of the Institute of Metals, vol.74, pp.537-562, 1948.

K. Washizu, On the variational principles of elasticity and plasticity, tech. rep, Massachusetts Inst. of Tech., Cambridge. Aeroelastic and Structures Research Lab, 1955.

Z. Wei, X. Deng, M. A. Sutton, J. Yan, C. Cheng et al., Modeling of mixed-mode crack growth in ductile thin sheets under combined in-plane and out-ofplane loading, Engineering Fracture Mechanics, pp.78-3082, 2011.

L. Xue-and-t and . Wierzbicki, Ductile fracture initiation and propagation modeling using damage plasticity theory, Engineering Fracture Mechanics, vol.75, pp.3276-3293, 2008.

Y. Zhang, Modélisation et simulation numérique robuste de l'endommagement ductile, 2016.

Y. Zhang, E. Lorentz, and A. J. Besson, Ductile damage modelling with locking-free regularized gtn model, International Journal for Numerical Methods in Engineering, 2017.
DOI : 10.1002/nme.5722

Z. Zhang, C. Thaulow, and A. J. Ødegård, A complete Gurson model approach for ductile fracture, Engineering Fracture Mechanics, vol.67, issue.2, pp.155-168, 2000.
DOI : 10.1016/S0013-7944(00)00055-2