T. Asahi, E. Hara, H. Tsuru, and . Morimoto, Development and commercialiation of highstrength linepipe, Proc. pipeline technology conference, pp.12-14, 2009.

J. Baek, Y. Kim, C. M. Kim, W. S. Kim, and C. S. Seok, Effects of pre-strain on the mechanical properties of API 5L X65 pipe, Materials Science and Engineering: A, vol.527, issue.6, pp.1473-1479, 2010.
DOI : 10.1016/j.msea.2009.10.017

J. P. Bandstra and D. A. Koss, On the influence of void clusters on void growth and coalescence during ductile fracture, Acta Materialia, vol.56, issue.16, pp.4429-4439, 2008.
DOI : 10.1016/j.actamat.2008.05.009

R. Bargellini, J. Besson, E. Lorentz, and S. Michel-ponnelle, A nonlocal finite element based on volumetric strain gradient: application to ductile fracture, Comput. Mat. Sci, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00379224

F. Barlat, H. Aretz, J. W. Yoon, M. E. Karabin, J. C. Brem et al., Linear transfomation-based anisotropic yield functions, International Journal of Plasticity, vol.21, issue.5, pp.1009-1039, 2005.
DOI : 10.1016/j.ijplas.2004.06.004

F. Barlat, D. J. Lege, and J. C. Brem, A six-component yield function for anisotropic materials, International Journal of Plasticity, vol.7, issue.7, pp.693-712, 1991.
DOI : 10.1016/0749-6419(91)90052-Z

M. B. Bettaieb, X. Lemoine, O. Bouaziz, A. Habraken, and L. Duchene, Numerical modeling of damage evolution of DP steels on the basis of X-ray tomography measurements, Mechanics of Materials, vol.43, issue.3, pp.139-156, 2011.
DOI : 10.1016/j.mechmat.2011.02.005

A. A. Benzerga and J. Besson, Plastic potentials for anisotropic porous solids, European Journal of Mechanics - A/Solids, vol.20, issue.3, pp.397-434, 2001.
DOI : 10.1016/S0997-7538(01)01147-0

A. Benzerga, J. Besson, and A. Pineau, Coalescence-Controlled Anisotropic Ductile Fracture, Journal of Engineering Materials and Technology, vol.121, issue.2, pp.121-229, 1999.
DOI : 10.1115/1.2812369

A. A. Benzerga, J. Besson, and A. Pineau, Anisotropic ductile fracture, Acta Materialia, vol.52, issue.15, pp.4623-4639, 2004.
DOI : 10.1016/j.actamat.2004.06.020

URL : https://hal.archives-ouvertes.fr/hal-00164227

A. A. Benzerga, J. Besson, and A. Pineau, Anisotropic ductile fracture, Acta Materialia, vol.52, issue.15, pp.4639-4650, 2004.
DOI : 10.1016/j.actamat.2004.06.019

URL : https://hal.archives-ouvertes.fr/hal-00164227

A. A. Benzerga and J. Leblond, Ductile Fracture by Void Growth to Coalescence, Advances in Applied Mechanics, vol.44, pp.169-305, 2010.
DOI : 10.1016/S0065-2156(10)44003-X

J. Besson, Continuum Models of Ductile Fracture: A Review, International Journal of Damage Mechanics, vol.19, issue.1, pp.3-52, 2010.
DOI : 10.1177/1056789509103482

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

J. Besson and R. Foerch, Large scale object-oriented finite element code design, Computer Methods in Applied Mechanics and Engineering, vol.142, issue.1-2, pp.165-187, 1997.
DOI : 10.1016/S0045-7825(96)01124-3

J. Besson and C. Guillemer-neel, An extension of the Green and Gurson models to kinematic hardening, Mechanics of Materials, vol.35, issue.1-2, pp.1-18, 2003.
DOI : 10.1016/S0167-6636(02)00169-2

J. Besson, D. Steglich, and W. Brocks, Modeling of crack growth in round bars and plane strain specimens, International Journal of Solids and Structures, vol.38, issue.46-47, pp.46-47, 2001.
DOI : 10.1016/S0020-7683(01)00167-6

P. W. Bridgman, Studies in large plastic flow and fracture, 1952.
DOI : 10.4159/harvard.9780674731349

F. Bron and J. Besson, A yield function for anisotropic materials Application to aluminum alloys, International Journal of Plasticity, vol.20, issue.4-5, pp.937-963, 2004.
DOI : 10.1016/j.ijplas.2003.06.001

URL : https://hal.archives-ouvertes.fr/hal-00165873

F. Bron and J. Besson, Simulation of the ductile tearing for two grades of 2024 aluminum alloy thin sheets, Engineering Fracture Mechanics, vol.73, issue.11, pp.1531-1552, 2006.
DOI : 10.1016/j.engfracmech.2006.01.024

URL : https://hal.archives-ouvertes.fr/hal-00136710

M. Brunet, F. Morestin, and H. Walter-leberre, Failure analysis of anisotropic sheet-metals using a non-local plastic damage model, Journal of Materials Processing Technology, vol.170, issue.1-2, pp.457-470, 2005.
DOI : 10.1016/j.jmatprotec.2005.05.046

URL : https://hal.archives-ouvertes.fr/hal-00368447

J. L. Chaboche, Time-independent constitutive theories for cyclic plasticity, International Journal of Plasticity, vol.2, issue.2, pp.149-188, 1986.
DOI : 10.1016/0749-6419(86)90010-0

J. L. Chaboche, A review of some plasticity and viscoplasticity constitutive theories, International Journal of Plasticity, vol.24, issue.10, pp.1642-1693, 2008.
DOI : 10.1016/j.ijplas.2008.03.009

J. Chaboche, Constitutive equations for cyclic plasticity and cyclic viscoplasticity, International Journal of Plasticity, vol.5, issue.3, pp.247-302, 1989.
DOI : 10.1016/0749-6419(89)90015-6

C. C. Chu and A. Needleman, Void Nucleation Effects in Biaxially Stretched Sheets, Journal of Engineering Materials and Technology, vol.102, issue.3, pp.249-256, 1980.
DOI : 10.1115/1.3224807

M. Civallero, M. Mirabile, and G. C. Sih, Fracture Mechanics in Pipeline Technology, Analytical and Experimental Fracture Mechanics. Rome, pp.157-174, 1981.
DOI : 10.1007/978-94-009-8594-0_8

S. Cravero and C. Ruggieri, Estimation procedure of J-resistance curves for SE(T) fracture specimens using unloading compliance, Engineering Fracture Mechanics, vol.74, issue.17, pp.2735-2757, 2007.
DOI : 10.1016/j.engfracmech.2007.01.012

K. Danas and P. Ponte-castaneda, A finite-strain model for anisotropic viscoplastic porous media: I ??? Theory, European Journal of Mechanics - A/Solids, vol.28, issue.3, pp.387-401, 2009.
DOI : 10.1016/j.euromechsol.2008.11.002

URL : https://hal.archives-ouvertes.fr/hal-00491346

K. Danas and P. Ponte-castaneda, A finite-strain model for anisotropic viscoplastic porous media: II ??? Applications, European Journal of Mechanics - A/Solids, vol.28, issue.3, pp.402-416, 2009.
DOI : 10.1016/j.euromechsol.2008.11.003

URL : https://hal.archives-ouvertes.fr/hal-00526643

K. Decamp, L. Bauvineau, J. Besson, and A. Pineau, Size and geometry effects on ductile rupture of notched bars in a C?Mn steel: Experiments and modelling, International Journal of Fracture, vol.88, issue.1, pp.1-18, 1997.
DOI : 10.1023/A:1007369510442

L. Devillers-guerville, J. Besson, and A. Pineau, Notch fracture toughness of a cast duplex stainless steel: modelling of experimental scatter and size effect, Nuclear Engineering and Design, vol.168, issue.1-3, pp.211-225, 1997.
DOI : 10.1016/S0029-5493(96)01321-0

K. Enami, The effects of compressive and tensile prestrain on ductile fracture initiation in steels, Engineering Fracture Mechanics, vol.72, issue.7, pp.1089-1105, 2005.
DOI : 10.1016/j.engfracmech.2004.07.012

D. Fabrègue and T. Pardoen, A constitutive model for elastoplastic solids containing primary and secondary voids, Journal of the Mechanics and Physics of Solids, vol.56, issue.3, pp.719-741, 2008.
DOI : 10.1016/j.jmps.2007.07.008

D. P. Fairchild, W. Cheng, S. J. Ford, K. Minnaar, N. E. Biery et al., Recent advance in curved wide plate testing and implications for strain-based design, Int. J. of offshore and polar engineering, vol.18, issue.3, pp.161-170, 2008.

J. Faleskog, X. Gao, and C. F. Shih, Cell model for nonlinear fracture analysis ? I. Micromechanics calibration, International Journal of Fracture, vol.89, issue.4, pp.355-373, 1998.
DOI : 10.1023/A:1007421420901

J. Faleskog and C. F. Shih, Micromechanics of coalescence???I. Synergistic effects of elasticity, plastic yielding and multi-size-scale voids, Journal of the Mechanics and Physics of Solids, vol.45, issue.1, pp.21-50, 1997.
DOI : 10.1016/S0022-5096(96)00078-6

J. Besson-feld-payet and S. , Finite Element Analysis of Damage in Ductile Structures Using a Nonlocal Model Combined with a Three-field Formulation, International Journal of Damage Mechanics, vol.3, issue.1, pp.655-680, 2011.
DOI : 10.1016/0045-7949(84)90231-1

URL : https://hal.archives-ouvertes.fr/hal-00619641

R. Foerch, J. Besson, G. Cailletaud, and P. Pilvin, Polymorphic constitutive equations in finite element codes, Computer Methods in Applied Mechanics and Engineering, vol.141, issue.3-4, pp.355-372, 1997.
DOI : 10.1016/S0045-7825(96)01111-5

X. Gao, J. Faleskog, and C. F. Shih, Cell model for nonlinear fracture analysis ? ii. fracture? process calibration and verification, International Journal of Fracture, vol.89, issue.4, pp.375-398, 1998.
DOI : 10.1023/A:1007410825313

A. Glover and B. Rothwell, Yield strength and plasticity of high strength pipelines, Proc. 4th international conference on pipeline technology (IPC), pp.9-13, 2008.

M. Gologanu, J. B. Leblond, and 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.1723-1754, 1993.
DOI : 10.1016/0022-5096(93)90029-F

M. Gologanu, J. B. Leblond, and J. Devaux, Approximate Models for Ductile Metals Containing Nonspherical Voids???Case of Axisymmetric Oblate Ellipsoidal Cavities, Journal of Engineering Materials and Technology, vol.116, issue.3, pp.290-297, 1994.
DOI : 10.1115/1.2904290

M. Gologanu, J. B. Leblond, G. Perrin, and J. Devaux, Theoretical models for void coalescence in porous ductile solids. I. Coalescence ???in layers???, International Journal of Solids and Structures, vol.38, issue.32-33, pp.5581-5594, 2001.
DOI : 10.1016/S0020-7683(00)00354-1

M. K. Graf, H. G. Hillenbrand, C. J. Heckmann, and K. A. Niederhoff, High-strength largediameter pipe for long-distance high-pressure gas pipelines, Int. J. Offshore Polar Eng, vol.14, issue.1, pp.69-74, 2004.

A. S. Gullerud, X. Gao, R. H. Dodds-jr, and R. Haj-ali, Simulation of ductile crack growth using computational cells: numerical aspects, Engineering Fracture Mechanics, vol.66, issue.1, pp.65-92, 2000.
DOI : 10.1016/S0013-7944(99)00147-2

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, vol.99, issue.1, pp.2-15, 1977.
DOI : 10.1115/1.3443401

H. Haddadi, S. Bouvier, M. Banu, C. Maier, and C. Teodosiu, Towards an accurate description of the anisotropic behaviour of sheet metals under large plastic deformations: Modelling, numerical analysis and identification, International Journal of Plasticity, vol.22, issue.12, pp.2226-2271, 2006.
DOI : 10.1016/j.ijplas.2006.03.010

M. D. Herynk, S. Kyriakides, A. Onoufriou, and H. D. Yun, Effects of the UOE/UOC pipe manufacturing processes on pipe collapse pressure, International Journal of Mechanical Sciences, vol.49, issue.5, pp.533-553, 2007.
DOI : 10.1016/j.ijmecsci.2006.10.001

R. Hill, The mathematical theory of plasticity, 1950.

T. Hoc and S. Forest, Polycrystal modelling of IF-Ti steel under complex loading path, International Journal of Plasticity, vol.17, issue.1, pp.65-85, 2001.
DOI : 10.1016/S0749-6419(00)00019-X

O. S. Hopperstad, M. Landseth, and S. Remseth, Cyclic stress-strain behaviour of alloy AA6060, part I: Uniaxial experiments and modelling, International Journal of Plasticity, vol.11, issue.6, pp.725-739, 1995.
DOI : 10.1016/S0749-6419(95)00032-1

O. S. Hopperstad, M. Landseth, and S. Remseth, Cyclic stress-strain behaviour of alloy AA6060 T4, part II: Biaxial experiments and modelling, International Journal of Plasticity, vol.11, issue.6, pp.741-762, 1995.
DOI : 10.1016/S0749-6419(95)00033-X

T. J. Hughes, Generalization of selective integration procedures to anisotropic and nonlinear media, International Journal for Numerical Methods in Engineering, vol.3, issue.9, pp.1413-1418, 1980.
DOI : 10.1002/nme.1620150914

N. S. Huh, Y. J. Kim, and Y. J. Kim, Limit Load Solutions for Pipes With Through-Wall Crack Under Single and Combined Loading Based on Finite Element Analyses, Journal of Pressure Vessel Technology, vol.129, issue.3, pp.468-472, 2007.
DOI : 10.1115/1.2748828

G. Hütter, T. Linse, U. Mühlich, and M. Kuna, Simulation of ductile crack initiation and propagation by means of a non-local Gurson-model, International Journal of Solids and Structures, vol.50, issue.5, pp.662-671, 2013.
DOI : 10.1016/j.ijsolstr.2012.10.031

S. Igi, J. Kondo, N. Suzuki, and D. Duan, Strain capacity of x100 high-strain linepipe for strainbased design application, Proc. 7th international pipeline conference, 2003.

M. Kailasam, N. Aravas, and P. P. Castañeda, Porous metals with developing anisotropy: Constitutive models, computational issues and applications to deformation processing, Comput. Model. Engrg Sci, vol.1, issue.2, pp.105-118, 2000.

A. P. Karafillis and M. C. Boyce, A general anisotropic yield criterion using bounds and a transformation weighting tensor, Journal of the Mechanics and Physics of Solids, vol.41, issue.12, pp.1859-1886, 1993.
DOI : 10.1016/0022-5096(93)90073-O

S. M. Keralavarma and A. A. Benzerga, An approximate yield criterion for anisotropic porous media, Comptes Rendus M??canique, vol.336, issue.9, pp.685-692, 2008.
DOI : 10.1016/j.crme.2008.07.008

S. M. Keralavarma, S. Hoelscher, and A. A. Benzerga, Void growth and coalescence in anisotropic plastic solids, International Journal of Solids and Structures, vol.48, issue.11-12, pp.11-12, 2011.
DOI : 10.1016/j.ijsolstr.2011.02.020

D. Kim, F. Barlat, S. Bouvier, M. Rabahallah, T. Balan et al., Non-quadratic anisotropic potentials based on linear transformation of plastic strain rate, International Journal of Plasticity, vol.23, issue.8, pp.1380-1399, 2007.
DOI : 10.1016/j.ijplas.2007.01.006

J. Koplik and A. Needleman, Void growth and coalescence in porous plastic solids, International Journal of Solids and Structures, vol.24, issue.8, pp.835-853, 1988.
DOI : 10.1016/0020-7683(88)90051-0

H. Laurent, R. Greze, P. Y. Manach, and S. Thuillier, Influence of constitutive model in springback prediction using the split-ring test, International Journal of Mechanical Sciences, vol.51, issue.3, pp.233-245, 2009.
DOI : 10.1016/j.ijmecsci.2008.12.010

URL : https://hal.archives-ouvertes.fr/hal-00400919

L. Lecarme, C. Teko?gluteko?glu, and T. Pardoen, Void growth and coalescence in ductile solids with stage III and stage IV strain hardening, International Journal of Plasticity, vol.27, issue.8, pp.1203-1223, 2011.
DOI : 10.1016/j.ijplas.2011.01.004

D. H. Lee, B. H. Kim, H. Lee, and J. S. Kong, Seismic behavior of a buried gas pipeline under earthquake excitations, Engineering Structures, vol.31, issue.5, pp.31-1011, 2009.
DOI : 10.1016/j.engstruct.2008.12.012

D. B. Lillig, The first (2007) isope strain-based design symposium -a review, Proc. 18th international offshore and polar engineering (ISOPE) conference, pp.6-11, 2008.

M. Liu and Y. Wang, Modeling of anisotropy of TMCP and UOE linepipes, Int. J. Offshore Polar Eng, vol.17, issue.4, pp.288-293, 2007.

R. W. Logan and W. Hosford, Upper-bound anisotropic yield locus calculations assuming ???111???-pencil glide, International Journal of Mechanical Sciences, vol.22, issue.7, pp.419-430, 1980.
DOI : 10.1016/0020-7403(80)90011-9

A. C. Mackenzie, J. W. Hancock, and D. K. Brown, On the influence of state of stress on ductile failure initiation in high strength steels, Engineering Fracture Mechanics, vol.9, issue.1, pp.167-188, 1977.
DOI : 10.1016/0013-7944(77)90062-5

H. Makino, I. Takeuchi, and R. Higuchi, Fracture Propagation and Arrest in High-Pressure Gas Transmission Pipeline by Ultra High Strength Line Pipes, 2008 7th International Pipeline Conference, Volume 3, 2008.
DOI : 10.1115/IPC2008-64078

W. A. Maxey, Dynamic Crack Propagation in Line Pipe, Analytical and Experimental Fracture Mechanics. Rome, pp.109-123, 1981.
DOI : 10.1007/978-94-009-8594-0_5

H. Mecking and U. F. Kocks, Kinetics of flow and strain-hardening, Acta Metallurgica, vol.29, issue.11, pp.1865-1875, 1981.
DOI : 10.1016/0001-6160(81)90112-7

J. Mediavilla, R. H. Peerlings, and M. G. Geers, Discrete crack modelling of ductile fracture driven by non-local softening plasticity, International Journal for Numerical Methods in Engineering, vol.37, issue.4, pp.661-688, 2006.
DOI : 10.1002/nme.1572

G. Mirone, A new model for the elastoplastic characterization and the stress???strain determination on the necking section of a tensile specimen, International Journal of Solids and Structures, vol.41, issue.13, pp.3545-3564, 2004.
DOI : 10.1016/j.ijsolstr.2004.02.011

V. Monchiet, O. Cazacu, E. Charkaluk, and D. Kondo, Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids, International Journal of Plasticity, vol.24, issue.7, pp.1158-1189, 2008.
DOI : 10.1016/j.ijplas.2007.08.008

URL : https://hal.archives-ouvertes.fr/hal-00687823

V. Monchiet, C. Gruescu, E. Charkaluk, and D. Kondo, Approximate yield criteria for anisotropic metals with prolate or oblate voids, Comptes Rendus M??canique, vol.334, issue.7, pp.431-439, 2006.
DOI : 10.1016/j.crme.2006.06.001

URL : https://hal.archives-ouvertes.fr/hal-00090592

T. F. Morgeneyer, J. Besson, H. Proudhon, M. J. Starink, and I. Sinclair, Experimental and numerical analysis of toughness anisotropy in AA2139 Al-alloy sheet, Acta Materialia, vol.57, issue.13, pp.3902-3915, 2009.
DOI : 10.1016/j.actamat.2009.04.046

URL : https://hal.archives-ouvertes.fr/hal-00413654

K. Nahshon and J. W. Hutchinson, Modification of the Gurson Model for shear failure, European Journal of Mechanics - A/Solids, vol.27, issue.1, pp.1-17, 2008.
DOI : 10.1016/j.euromechsol.2007.08.002

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

M. Ohata and M. Toyoda, Damage concept for evaluating ductile cracking of steel structure subjected to large-scale cyclic straining, Science and Technology of Advanced Materials, vol.47, issue.43, pp.241-249, 2004.
DOI : 10.1016/S1359-6454(01)00066-0

T. Pardoen and J. W. Hutchinson, An extended model for void growth and coalescence, Journal of the Mechanics and Physics of Solids, vol.48, issue.12, pp.2467-2512, 2000.
DOI : 10.1016/S0022-5096(00)00019-3

T. Pardoen and J. W. Hutchinson, Micromechanics-based model for trends in toughness of ductile metals, Acta Materialia, vol.51, issue.1, pp.133-148, 2003.
DOI : 10.1016/S1359-6454(02)00386-5

F. Rivalin, J. Besson, M. D. Fant, and A. Pineau, Ductile tearing of pipeline-steel wide plates, Engineering Fracture Mechanics, vol.68, issue.3, pp.347-364, 2000.
DOI : 10.1016/S0013-7944(00)00108-9

F. Rivalin, A. Pineau, M. D. Fant, and J. Besson, Ductile tearing of pipeline-steel wide plates, Engineering Fracture Mechanics, vol.68, issue.3, pp.329-345, 2000.
DOI : 10.1016/S0013-7944(00)00107-7

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. Ruggieri, T. L. Panontin, and R. H. Dodds-jr, Numerical modeling of ductile crack growth in 3-D using computational cell elements, International Journal of Fracture, vol.207, issue.2, pp.67-95, 1996.
DOI : 10.1007/BF00017864

K. Sai, G. Cailletaud, and S. Forest, Micro-mechanical modeling of the inelastic behavior of directionally solidified materials, Mechanics of Materials, vol.38, issue.3, pp.203-217, 2006.
DOI : 10.1016/j.mechmat.2005.06.007

H. Samrout, R. Elabdi, and J. L. Chaboche, Model for 28CrMoV5-8 steel undergoing thermomechanical cyclic loadings, International Journal of Solids and Structures, vol.34, issue.35-36, pp.35-36, 1997.
DOI : 10.1016/S0020-7683(97)00040-1

Y. Shinohara, Y. Madi, and J. Besson, A combined phenomenological model for the representation of anisotropic hardening behavior in high strength steel line pipes, European Journal of Mechanics - A/Solids, vol.29, issue.6, pp.917-927, 2010.
DOI : 10.1016/j.euromechsol.2010.06.003

URL : https://hal.archives-ouvertes.fr/hal-00687352

Y. Shinohara, E. Tsuru, H. Asahi, T. Hara, Y. Terada et al., Development of high-strength steel line pipe for SBD applications, Int. J. of offshore and polar engineering, vol.18, issue.3, pp.220-225, 2008.

F. Sidoroff and A. Dogui, Some issues about anisotropic elastic???plastic models at finite strain, International Journal of Solids and Structures, vol.38, issue.52, pp.9569-9578, 2001.
DOI : 10.1016/S0020-7683(01)00139-1

T. Siegmund and W. Brocks, Prediction of the work of separation and implications to modelling, International Journal of Fracture, vol.99, issue.1/2, pp.97-116, 1999.
DOI : 10.1023/A:1018300226682

J. C. Simo and R. L. Taylor, Consistent tangent operators for rate-independent elastoplasticity, Computer Methods in Applied Mechanics and Engineering, vol.48, issue.1, pp.101-118, 1985.
DOI : 10.1016/0045-7825(85)90070-2

S. Sivaprasad, S. Tarafder, V. R. Ranganath, and K. Ray, Effect of prestrain on fracture toughness of HSLA steels, Materials Science and Engineering: A, vol.284, issue.1-2, pp.195-201, 2000.
DOI : 10.1016/S0921-5093(00)00739-5

D. Steglich and W. Brocks, Micromechanical modelling of the behaviour of ductile materials including particles, Computational Materials Science, vol.9, issue.1-2, pp.7-17, 1997.
DOI : 10.1016/S0927-0256(97)00053-0

D. Steglich, T. Siegmund, and W. Brocks, Micromechanical modeling of damage due to particle cracking in reinforced metals, Computational Materials Science, vol.16, issue.1-4, pp.404-413, 1999.
DOI : 10.1016/S0927-0256(99)00083-X

D. Steglich, H. Wafai, and J. Besson, Interaction between anisotropic plastic deformation and damage evolution in Al 2198 sheet metal, Engineering Fracture Mechanics, vol.77, issue.17, pp.3501-3518, 2010.
DOI : 10.1016/j.engfracmech.2010.08.021

URL : https://hal.archives-ouvertes.fr/hal-00542469

B. Tanguy, T. T. Luu, G. Perrin, A. Pineau, and 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

V. Tarigopula, O. S. Hopperstad, M. Langseth, and A. H. Clausen, Elastic-plastic behaviour of dual-phase, high-strength steel under strain-path changes, European Journal of Mechanics - A/Solids, vol.27, issue.5, pp.764-782, 2008.
DOI : 10.1016/j.euromechsol.2008.01.002

V. Tarigopula, O. S. Hopperstad, M. Langseth, and A. H. Clausen, An evaluation of a combined isotropic-kinematic hardening model for representation of complex strain-path changes in dual-phase steel, European Journal of Mechanics - A/Solids, vol.28, issue.4, pp.792-805, 2009.
DOI : 10.1016/j.euromechsol.2008.12.004

C. Teodosiu and Z. Hu, Evalution of the intragranular microstructure at moderate and large strains, Proceedings of the 5th NUMIFORM conference. Simulation of materials proceeding: Theoroy, Methods and Applications, 1995.

P. F. Thomason, A theory for ductile fracture by internal necking of cavities, J. Ins. Metals, vol.96, pp.360-365, 1968.

P. F. Thomason, A three-dimensional model for ductile fracture by the growth and coalescence of microvoids, Acta Metallurgica, vol.33, issue.6, pp.1087-1095, 1985.
DOI : 10.1016/0001-6160(85)90202-0

P. F. Thomason, Three-dimensional models for the plastic limit-loads at incipient failure of the intervoid matrix in ductile porous solids, Acta Metallurgica, vol.33, issue.6, pp.1079-1085, 1985.
DOI : 10.1016/0001-6160(85)90201-9

C. M. Timms, D. D. Degeer, M. R. Chebaro, and E. Tsuru, Compressive strain limits of large diameter X80 UOE linepipe, Proc. 19th international offshore and polar engineering (ISOPE) conference, 2009.

J. M. Treinen, W. E. Luecke, J. D. Colskey, P. P. Darcis, and Y. Y. Wang, Anisotropic behavior of x100 pipeline steel, Proc. Eighteenth Int. Offshore and Polar Engineering Conf, 2008.

E. Tsuru and J. Agata, Buckling resistance of line pipes with girth weld evaluated by new computational simulation and experimental technology for full-scale pipes, Proc. 19th international offshore and polar engineering (ISOPE) conference, 2009.

E. Tsuru, Y. Shinohara, and H. Asahi, Evaluation precept for buckling resistance of highstrength uoe line pipes used in strainbased design SBD applications, Int. J. of offshore and polar engineering, vol.18, issue.3, pp.176-182, 2008.

E. Tsuru, Y. Shinohara, H. Asahi, and Y. Terada, Strain capacity of line pipe with yield point elongation, Proc. 15th international offshore and polar engineering (ISOPE) conference, 2005.

V. Tvergaard, Material Failure by Void Growth to Coalescence, Advances in Applied Mechanics, vol.27, pp.83-151, 1990.
DOI : 10.1016/S0065-2156(08)70195-9

V. Tvergaard and A. Needleman, Analysis of the cup-cone fracture in a round tensile bar, Acta Metallurgica, vol.32, issue.1, pp.157-169, 1984.
DOI : 10.1016/0001-6160(84)90213-X

I. N. Vladimirov, M. P. Pietryga, and S. Reese, Anisotropic finite elastoplasticity with nonlinear kinematic and isotropic hardening and application to sheet metal forming, International Journal of Plasticity, vol.26, issue.5, pp.659-687, 2010.
DOI : 10.1016/j.ijplas.2009.09.008

Y. Wang and M. Liu, The role of anisotropy, toughness transferability and weld misalignment in the strain based design of pipelines, Proc. 17th international offshore and polar engineering (ISOPE) conference, 2007.

W. W. Wiedenhoff, G. H. Vogt, and P. A. Peters, Toughness requirements of large-diameter line pipe in gas transmission pipelines, International Seminar on Fracture in Gas Pipelines, 1984.

S. K. Yerra, C. Tekoglu, F. Scheyvaerts, L. Delannay, P. Van-houtte et al., Void growth and coalescence in single crystals, International Journal of Solids and Structures, vol.47, issue.7-8, pp.1016-1029, 2010.
DOI : 10.1016/j.ijsolstr.2009.12.019

Q. M. Yu, N. X. Hou, and Z. F. Yue, Finite element analysis of void growth behavior in nickel-based single crystal superalloys, Computational Materials Science, vol.48, issue.3, pp.597-608, 2010.
DOI : 10.1016/j.commatsci.2010.02.028

Z. L. Zhang, M. Hauge, J. Ødegård, and C. Thaulow, Determining material true stress???strain curve from tensile specimens with rectangular cross-section, International Journal of Solids and Structures, vol.36, issue.23, pp.3497-3516, 1999.
DOI : 10.1016/S0020-7683(98)00153-X

T. J. Zimmerman, M. J. Stephens, D. D. Degeer, and C. Chen, Compressive strain limits for burried pipelines, Proc. 14th international conference on offshore mechanics and arctic engineering, 1995.

N. Zouhal, A. Molinari, and L. S. Tóth, Elastic-plastic effects during cyclic loading as predicted by the Taylor?Lin model of polycrystal elasti-viscoplasticity Damage of Ductile Materials Deforming Under Multiple Plastic or Viscoplastic Mechanisms, Int. J. Plasticity REFERENCES Besson, J Int J Plasticity, vol.12, issue.25, pp.2204-2221, 1996.

W. Brocks, D. Sun, and A. Honig, Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic materials, International Journal of Plasticity, vol.11, issue.8, pp.971-989, 1995.
DOI : 10.1016/S0749-6419(95)00039-9

F. Bron and J. Besson, A yield function for anisotropic materials Application to aluminum alloys, International Journal of Plasticity, vol.20, issue.4-5, pp.937-963, 2004.
DOI : 10.1016/j.ijplas.2003.06.001

URL : https://hal.archives-ouvertes.fr/hal-00165873

J. Chaboshe, Constitutive equations for cyclic plasticity and cyclic viscoplasticity, International Journal of Plasticity, vol.5, issue.3, pp.243-302, 1989.
DOI : 10.1016/0749-6419(89)90015-6

A. Glover and B. Rothwell, Yield Strength and Plasticity of High Strength Pipelines, Proc Int Pipeline Tech Conf, pp.65-79, 2004.

J. Gordon, N. Zettlemoyer, and W. Mohr, Crack Driving Force in Pipelines Subjected to Large Strain and Biaxial Stress Conditions, Proc 17th Int Offshore and Polar Eng Conf, pp.3129-3140, 2007.

S. Igi, J. Kondo, N. Suzuki, J. Zhou, and D. , Strain Capacity of X100 High-Strain Linepipe for Strain-Based Design Application, 2008 7th International Pipeline Conference, Volume 3, pp.2008-64518, 2008.
DOI : 10.1115/IPC2008-64518

J. Koplik and A. Needleman, Void growth and coalescence in porous plastic solids, International Journal of Solids and Structures, vol.24, issue.8, pp.835-853, 1988.
DOI : 10.1016/0020-7683(88)90051-0

T. Morgeneyer, J. Besson, H. Proudhon, M. Starink, and I. Sinclair, Experimental and numerical analysis of toughness anisotropy in AA2139 Al-alloy sheet, Acta Materialia, vol.57, issue.13, pp.3902-3915, 2009.
DOI : 10.1016/j.actamat.2009.04.046

URL : https://hal.archives-ouvertes.fr/hal-00413654

Y. Shinohara, T. Hara, E. Tsuru, H. Asahi, Y. Terada et al., Change of Mechanical Properties of High Strength Line Pipe by Thermal Coating Treatment, 24th International Conference on Offshore Mechanics and Arctic Engineering: Volume 3, p.67055, 2005.
DOI : 10.1115/OMAE2005-67055

Y. Shinohara, T. Hara, E. Tsuru, H. Asahi, Y. Terada et al., Effect of Tensile Property Distribution on Strainbased Design Application of High Strength UOE Line Pipe, Proc 25th Int Conf Offshore and Mech and Arct Eng, pp.2006-92302, 2006.

Y. Shinohara, J. Besson, and M. , Effect of Pre- Strain on Ductility in High Strength Line Pipe Steels, Proc 19th Int Offshore and Polar Eng Conf, pp.146-153, 2009.

B. Tanguy, T. Luu, G. Perrin, A. Pineau, and . 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

P. Thomason, Ductile Fracture of Metals, 1900.

C. Timms, D. Degeer, and M. Mclamb, Effects of a Thermal Coating Process on X100 UOE Line Pipe, 24th International Conference on Offshore Mechanics and Arctic Engineering: Volume 3, pp.2005-67401, 2005.
DOI : 10.1115/OMAE2005-67401

E. Tsuru, Y. Shinohara, and A. , Evaluation Precept for Buckling Resistance of High-Strength UOE Line Pipes Used in Strain-Based Design Applications, Int J Offshore and Polar Eng, ISOPE, vol.18, issue.3, pp.176-182, 2008.

E. Tsuru, K. Yoshida, S. Shirakami, and T. Kuwabara, Numerical Simulation of Buckling Resistance for UOE Line Pipes with Orthogonal Anisotropic Hardening Behavior, Proc 18th Int Offshore and Polar Eng Conf, pp.104-110, 2008.

V. Tvergaard, Material Failure by Void Growth to Coalescence, Advances in Appl Mech, vol.27, pp.83-151, 1990.
DOI : 10.1016/S0065-2156(08)70195-9

Y. Wang and L. , The Role of Anisotropy, Toughness Transferability and Weld Misalignment in the Strain-Based Design of Pipelines, Proc 17th Int Offshore and Polar Eng Conf, pp.3164-3171, 2007.