S. R. Agnew, D. W. Brown, and C. N. Tomé, Validating a polycrystal model for the elastoplastic response of magnesium alloy AZ31 using in situ neutron diffraction, Acta Materialia, vol.54, issue.18, pp.4841-4852, 2006.
DOI : 10.1016/j.actamat.2006.06.020

L. Anand and M. Kothari, A computational procedure for rate-independent crystal plasticity, Journal of the Mechanics and Physics of Solids, vol.44, issue.4, pp.525-558, 1996.
DOI : 10.1016/0022-5096(96)00001-4

M. Arminjon, A regular form of the Schmid law. Application to the ambiguity problem. Texture Microstruct, pp.14-18, 1991.

A. Belkhabbaz, B. Bacroix, and R. Brenner, Investigation of the elastoplastic behavior of FCC polycrytals using a FFT numerical scheme, Ro. J. Tech. Sci. -Appl. Mech, vol.60, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01577066

A. Belkhabbaz, R. Brenner, N. Rupin, B. Bacroix, and J. Fonseca, Predictionoftheoverallbehaviorofa3DmicrostructureofausteniticsteelbyusingFFTnumericalscheme, Procedia Engineering, vol.10, pp.1883-1888, 2011.
DOI : 10.1016/j.proeng.2011.04.313

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

J. F. Bishop and R. Hill, CXXVIII. A theoretical derivation of the plastic properties of a polycrystalline face-centred metal, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol.42, issue.334, pp.1298-1307, 1951.
DOI : 10.1098/rsta.1932.0009

G. De-botton, P. Castañeda, and P. , Variational estimates for the creep behaviour of polycrystals, Proc. R. Soc. Lond. A448, pp.121-142, 1995.

R. Brenner, R. A. Lebensohn, and O. Castelnau, Elastic anisotropy and yield surface estimates of polycrystals, International Journal of Solids and Structures, vol.46, issue.16, pp.3018-3026, 2009.
DOI : 10.1016/j.ijsolstr.2009.04.001

S. Brisard and L. Dormieux, FFT-based methods for the mechanics of composites: A general variational framework, Computational Materials Science, vol.49, issue.3, pp.663-671, 2010.
DOI : 10.1016/j.commatsci.2010.06.009
URL : https://hal.archives-ouvertes.fr/hal-00722339

E. P. Busso and G. Cailletaud, On the selection of active slip systems in crystal plasticity, International Journal of Plasticity, vol.21, issue.11, pp.2212-2231, 2005.
DOI : 10.1016/j.ijplas.2005.03.019
URL : https://hal.archives-ouvertes.fr/hal-00154559

J. Crépin, T. Bretheau, and D. Caldemaison, Cavity growth and rupture of ??-treated zirconium: A crystallographic model, Acta Materialia, vol.44, issue.12, pp.4927-4935, 1996.
DOI : 10.1016/S1359-6454(96)00093-6

K. Danas and N. Aravas, Numerical modeling of elasto-plastic porous materials with void shape effects at finite deformations, Composites Part B: Engineering, vol.43, issue.6, pp.2544-2559, 2012.
DOI : 10.1016/j.compositesb.2011.12.011
URL : https://hal.archives-ouvertes.fr/hal-00755844

U. Essmann and H. Mughrabi, Annihilation of dislocations during tensile and cyclic deformation and limits of dislocation densities, Philosophical Magazine A, vol.28, issue.6, pp.731-756, 1979.
DOI : 10.1080/14786437308217440

D. J. Eyre and G. W. Milton, A fast numerical scheme for computing the response of composites using grid refinement, The European Physical Journal Applied Physics, vol.4, issue.1, pp.41-47, 1999.
DOI : 10.1103/PhysRevB.41.2417

J. J. Fundenberger, M. J. Philippe, F. Wagner, and C. Esling, Modelling and prediction of mechanical properties for materials with hexagonal symmetry (zinc, titanium and zirconium alloys), Acta Materialia, vol.45, issue.10, pp.4041-4055, 1997.
DOI : 10.1016/S1359-6454(97)00099-2

W. Gambin, Refined analysis of elastic-plastic crystals, International Journal of Solids and Structures, vol.29, issue.16, pp.2013-2021, 1992.
DOI : 10.1016/0020-7683(92)90191-U

Y. X. Gan, W. Kysar, and T. L. Morse, Cylindrical void in a rigid-ideally plastic single crystal II: Experiments and simulations, International Journal of Plasticity, vol.22, issue.1, pp.39-72, 2006.
DOI : 10.1016/j.ijplas.2005.01.009

G. W. Groves and A. Kelly, Independent slip systems in crystals, Philosophical Magazine, vol.62, issue.89, pp.877-887, 1963.
DOI : 10.1080/14786436108243308

X. Han, J. Besson, S. Forest, B. Tanguy, and S. Bugat, A yield function for single crystals containing voids, International Journal of Solids and Structures, vol.50, issue.14-15, pp.2115-2131, 2013.
DOI : 10.1016/j.ijsolstr.2013.02.005
URL : https://hal.archives-ouvertes.fr/hal-00830364

R. Hill, A Theory of the Yielding and Plastic Flow of Anisotropic Metals, Proc. R. Soc. Lond. A193, pp.281-297, 1948.
DOI : 10.1098/rspa.1948.0045

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

R. Hill, Generalized constitutive relations for incremental deformation of metal crystals by multislip, Journal of the Mechanics and Physics of Solids, vol.14, issue.2, pp.95-102, 1966.
DOI : 10.1016/0022-5096(66)90040-8

U. F. Kocks, G. R. Canova, and J. J. Jonas, Yield vectors in f.c.c. crystals. Acta metall, pp.1243-1252, 1983.

R. A. Lebensohn, N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform, Acta Materialia, vol.49, issue.14, pp.2723-2737, 2001.
DOI : 10.1016/S1359-6454(01)00172-0

J. B. Leblond and L. Morin, Gurson's Criterion and Its Derivation Revisited, Journal of Applied Mechanics, vol.81, issue.5, p.51012, 2014.
DOI : 10.1115/1.4026112

J. B. Leblond, G. Perrin, and J. Devaux, An improved Gurson-type model for hardenable ductile metals, Eur. J. Mech. A/Solids, vol.14, pp.499-527, 1995.

C. Ling, J. Besson, S. Forest, B. Tanguy, F. Latourte et al., An elastoviscoplastic model for porous single crystals at finite strains and its assessment based on unit cell simulations, International Journal of Plasticity, vol.84, pp.58-87, 2016.
DOI : 10.1016/j.ijplas.2016.05.001
URL : https://hal.archives-ouvertes.fr/hal-01357790

J. Mandel, Generalisation de la theorie de plasticite de W. T. Koiter, International Journal of Solids and Structures, vol.1, issue.3, pp.273-295, 1965.
DOI : 10.1016/0020-7683(65)90034-X

A. Mbiakop, A. Constantinescu, and K. Danas, An analytical model for porous single crystals with ellipsoidal voids, Journal of the Mechanics and Physics of Solids, vol.84, pp.436-467, 2015.
DOI : 10.1016/j.jmps.2015.07.011

A. Mbiakop, A. Constantinescu, and K. Danas, A model for porous single crystals with cylindrical voids of elliptical cross-section, International Journal of Solids and Structures, vol.64, issue.65, pp.64-65, 2015.
DOI : 10.1016/j.ijsolstr.2015.03.017
URL : https://hal.archives-ouvertes.fr/hal-01219747

J. C. Michel, H. Moulinec, and P. Suquet, A computational scheme for linear and non???linear composites with arbitrary phase contrast, International Journal for Numerical Methods in Engineering, vol.58, issue.12, pp.139-160, 2001.
DOI : 10.1016/S0266-3538(97)00162-0

C. Miehe and J. Schröder, A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity, International Journal for Numerical Methods in Engineering, vol.1, issue.2, pp.273-298, 2001.
DOI : 10.1016/B978-0-08-025443-2.50015-X

V. Monchiet and G. Bonnet, A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast, International Journal for Numerical Methods in Engineering, vol.21, issue.3, pp.1419-1436, 2012.
DOI : 10.1016/S0065-2156(08)70332-6
URL : https://hal.archives-ouvertes.fr/hal-00687816

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

H. Moulinec and F. Silva, Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials, International Journal for Numerical Methods in Engineering, vol.42, issue.2, pp.960-985, 2014.
DOI : 10.1016/j.ijsolstr.2004.06.048
URL : https://hal.archives-ouvertes.fr/hal-00787089

H. Moulinec and P. Suquet, A numerical method for computing the overall response of nonlinear composites with complex microstructure, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1-2, pp.69-94, 1998.
DOI : 10.1016/S0045-7825(97)00218-1
URL : https://hal.archives-ouvertes.fr/hal-01282728

J. E. Nervi and M. I. Idiart, Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques, Proc. R. Soc. Lond. A 471, 2015.

P. G. Partridge, The crystallography and deformation modes of hexagonal close-packed metals, Metall. Rev, vol.12, pp.169-194, 1967.

J. Paux, L. Morin, R. Brenner, and D. Kondo, An approximate yield criterion for porous single crystals, European Journal of Mechanics - A/Solids, vol.51, pp.1-10, 2015.
DOI : 10.1016/j.euromechsol.2014.11.004
URL : https://hal.archives-ouvertes.fr/hal-01062662

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

J. B. Rosen, The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints, Journal of the Society for Industrial and Applied Mathematics, vol.8, issue.1, pp.181-217, 1960.
DOI : 10.1137/0108011

G. B. Sarma, B. Radhakrishnan, and T. Zacharia, Finite element simulations of cold deformation at the mesoscale, Computational Materials Science, vol.12, issue.2, pp.105-123, 1998.
DOI : 10.1016/S0927-0256(98)00036-6

T. Schacht, N. Untermann, and E. Steck, The influence of crystallographic orientation on the deformation behaviour of single crystals containing microvoids, International Journal of Plasticity, vol.19, issue.10, pp.1605-1626, 2003.
DOI : 10.1016/S0749-6419(02)00038-4

M. Schmidt-baldassari, Numerical concepts for rate-independent single crystal plasticity, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.11-12, pp.1261-1280, 2003.
DOI : 10.1016/S0045-7825(02)00563-7

A. Srivastava and A. Needleman, Void growth versus void collapse in a creeping single crystal, Journal of the Mechanics and Physics of Solids, vol.61, issue.5, pp.1169-1184, 2013.
DOI : 10.1016/j.jmps.2013.01.006

P. Suquet, H. Moulinec, O. Castelnau, M. Montagnat, N. Lahellec et al., Multi-scale modeling of the mechanical behavior of polycrystalline ice under transient creep, Procedia IUTAM, vol.3, issue.3, pp.64-78
DOI : 10.1016/j.piutam.2012.03.006
URL : https://hal.archives-ouvertes.fr/hal-00644773

L. Tabourot, M. Fivel, and E. Rauch, Generalised constitutive laws for f.c.c. single crystals, Materials Science and Engineering: A, vol.234, issue.236, pp.234-236, 1997.
DOI : 10.1016/S0921-5093(97)00353-5

C. Teodosiu, J. L. Raphanel, and L. Tabourot, Finite element simulation of the large elastoplastic deformation of multicrystals, Large plastic deformations, pp.153-168, 1993.

C. N. Tomé and U. F. Kocks, The yield surface of h.c.p. crystals, Acta Metallurgica, vol.33, issue.4, pp.603-621, 1985.
DOI : 10.1016/0001-6160(85)90025-2

V. Tvergaard, On localization in ductile materials containing spherical voids, Int. J. Fract, vol.18, pp.237-252, 1982.

P. G. Vincent, P. Suquet, Y. Monerie, and H. Moulinec, Effective flow surface of porous materials with two populations of voids under internal pressure: II. Full-field simulations, International Journal of Plasticity, vol.56, pp.74-98, 2014.
DOI : 10.1016/j.ijplas.2013.11.012
URL : https://hal.archives-ouvertes.fr/hal-00912637

F. Willot and Y. P. Pellegrini, Fast fourier transform computations and build-up of plastic deformation in 2D, elastic-perfectly plastic, pixelwise disordered porous media, Continuum Models and Discrete Systems CMDS 11, pp.443-449, 2008.
URL : https://hal.archives-ouvertes.fr/cea-00412544

S. Yerra, C. Tekoglu, F. Scheyvaerts, L. Delannay, P. V. 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

M. H. Yoo, Slip, twinning, and fracture in hexagonal close-packed metals. Metallurgical Transactions A 12A, pp.409-418, 1981.

K. S. Zhang, J. B. Bai, and D. François, Numerical analysis of the influence of the Lode parameter on void growth, International Journal of Solids and Structures, vol.38, issue.32-33, pp.5847-5856, 2001.
DOI : 10.1016/S0020-7683(00)00391-7