A. Acharya, Constitutive analysis of finite deformation field dislocation mechanics, J. Mech. Phys. Solids, vol.52, pp.301-316, 2004.

I. S. Aranson, V. A. Kalatsky, and V. M. Vinokur, Continuum field description of crack propagation, Phys. Rev. Lett, vol.85, pp.118-121, 2000.

G. Barenblatt, The formation of equilibrium cracks during brittle fracture: general ideas and hypothesis, axially symmetric cracks, Appl. Math. Mech. (PMM), vol.23, pp.622-636, 1959.

D. M. Barnett and R. J. Asaro, The fracture mechanics of slit-like cracks in anisotropic elastic media, J. Mech. Phys. Solids, vol.20, pp.353-366, 1972.

B. A. Bilby, B. H. Cottrell, and K. H. Swinden, The spread of plastic yield from a notch, Proc. Roy. Soc. London, A, vol.285, pp.304-314, 1963.

S. Cheng, Y. Zhao, Y. Wang, Y. Li, X. L. Wang et al., Structure modulation driven by cyclic deformation in nanocrystalline nife, Phys. Rev. Lett, vol.104, p.255501, 2010.

J. D. Clayton and J. Knap, A geometrically nonlinear phase field theory of brittle fracture, Int. J. Fracture, vol.189, pp.139-148, 2014.

B. D. Coleman and M. E. Gurtin, Thermodynamics with internal state variables, J. Chem. Phys, vol.47, pp.597-613, 1967.

R. Dewit, Linear theory of static disclinations, Fundamental Aspects of Dislocation Theory, I. National Bureau of Standards publications, pp.651-673, 1970.

K. S. Djaka, V. Taupin, S. Berbenni, and C. Fressengeas, A numerical spectral approach to solve the dislocation density transport equation, Model. Simul. Mater. Sci. Eng, vol.23, p.65008, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01513871

D. S. Dugdale, Yielding of steel sheets containing slits, J. Mech. Phys. Solids, vol.8, pp.100-104, 1960.

J. D. Eshelby, The determination of the elastic field in an ellipsoidal inclusion, and related problems, Proc. Roy. Soc. Lond. A, vol.241, pp.376-396, 1957.

H. Feng, Q. H. Fang, L. C. Zhang, and Y. W. Liu, Special rotational deformation and grain size effect on fracture toughness of nanocrystalline materials, Int. J. Plast, vol.42, pp.50-64, 2013.

C. Fressengeas and V. Taupin, A field theory of distortion incompatibility for coupled fracture and plasticity, J. Mech. Phys. Solids, vol.68, pp.45-65, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01503461

C. Fressengeas, V. Taupin, and L. Capolungo, An elasto-plastic theory of dislocation and disclination fields, Int. J. Solids Struct, vol.48, pp.3499-3509, 2011.
DOI : 10.1016/j.ijsolstr.2011.09.002

URL : https://hal.archives-ouvertes.fr/hal-01501431

C. Fressengeas, V. Taupin, and L. Capolungo, Continuous modeling of the structure of symmetric tilt boundaries, Int. J. Solids Struct, vol.51, pp.1434-1441, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01503446

J. Friedel, . Oxford, D. S. Gianola, S. V. Petegem, M. Legros et al., Stress-assisted discontinuous grain growth and its effect on the deformation behavior of nanocrystalline aluminum thin films, Acta Mater, vol.54, pp.2253-2263, 1964.

M. E. Gurtin, The nature of configurational forces, Arch. Rat. Mech. Anal, vol.131, pp.67-100, 1995.

V. Hakim and A. Karma, Laws of crack motion and phase-field models of fracture, J. Mech. Phys. Solids, vol.57, pp.342-368, 2009.

F. Hecht, O. Pironneau, A. L. Hyaric, and K. Ohtsuka, , 2015.

J. P. Hirth and J. Lothe, Theory of Dislocations, 1982.

B. Jiang, The least-squares finite element method, Springer Series in Scientific Computation. Theory and Computation in Fluid Dynamics and Electromagnetics, 1998.

Y. M. Jin, Y. U. Wang, and A. G. Khachaturyan, Three-dimensional phase field microelasticity theory and modeling of multiple cracks and voids, Appl. Phys. Lett, vol.79, pp.3071-3073, 2001.

A. Karma, D. A. Kessler, and H. Levine, Phase-field model of mode III dynamic fracture, Phys. Rev. Lett, vol.87, p.45501, 2001.

M. Ke, W. W. Milligan, S. A. Hackney, J. E. Carsley, and E. C. Aifantis, Observation and measurement of grain rotation and plastic strain in nanostructured metal thin films, Nanostruct. Mater, vol.5, p.689, 1995.

K. Kondo, Memoirs of the unifying study of the basic problems in engineering by means of geometry, pp.453-572, 1955.

M. Koslowski, A. M. No, and M. Ortiz, A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals, J. Mech. Phys. Solids, vol.50, pp.2597-2635, 2002.

E. Kröner, Kontinuumstheorie der Versetzungen und Eigenspannungen. Les Houches, Session XXXV Physics of Defects, Ergeb. Agnew. Math, vol.5, pp.217-315, 1981.

M. Legros, D. S. Gianola, and K. J. Hemker, In situ TEM observations of fast grain boundary motion in stresses nanocrystalline aluminum films, Acta Mater, vol.56, pp.3380-3393, 2008.

P. Liu, S. C. Mao, L. H. Wang, X. D. Hana, and Z. Zhang, Direct dynamic atomic mechanisms of strain-induced grain rotation in nanocrystalline, textured, columnar-structured thin gold films, Scripta Mater, vol.64, pp.343-346, 2011.

R. Maranganti and P. Sharma, A novel atomistic approach to determine straingradient elasticity constants: Tabulation and comparison for various metals, semiconductors, silica, polymers, and (ir) relevance for nanotechnologies, J. Mech. Phys. Solids, vol.55, pp.1823-1852, 2007.

M. J. Marcinkowski, The differential geometry of fracture, Acta Mech, vol.30, pp.175-195, 1978.

G. A. Maugin, Material forces: concepts and applications, ASME J. Appl. Mech. Rev, vol.48, pp.213-245, 1995.
DOI : 10.1115/1.3005101

R. D. Mindlin and H. F. Tiersten, Effects of couple-stresses in linear elasticity, Arch. Rat. Mech. Anal, vol.11, pp.415-448, 1962.

H. Miyamoto and K. Kageyama, Extension of j-integral to the general elastoplastic problem and suggestion of a new method for its evaluation, Proceedings of the 1st International Conference on Numerical Methods in Fracture Mechanics, pp.261-275, 1978.

T. Mura, Micromechanics of defects in solids, 1987.

F. R. Nabarro and A. Needleman, A continuum model for void nucleation by inclusion debonding, J. Appl. Mech, vol.54, pp.525-531, 1967.

I. A. Ovid'ko, A. G. Sheinerman, and E. C. Aifantis, Effect of cooperative grain boundary sliding and migration on crack growth in nanocrystalline solids, Acta Mater, vol.59, pp.5023-5031, 2011.

I. A. Ovid'ko and A. G. Sheinerman, Nanoscale rotational deformation near crack tips in nanocrystalline solids, J. Phys. D:Appl. Phys, vol.45, p.335301, 2012.

D. Rodney, Y. L. Bouar, and A. Finel, Phase field methods and dislocations, Acta Mater, vol.51, pp.17-30, 2003.
DOI : 10.1016/s1359-6454(01)00379-2

URL : https://hal.archives-ouvertes.fr/hal-00125516

A. Roy and A. Acharya, Finite element approximation of field dislocation mechanics, J. Mech. Phys. Solids, vol.53, pp.143-170, 2005.

A. Ruffini and A. Finel, Phase-field model coupling cracks and dislocations at finite strain, Acta Mater, vol.92, pp.197-208, 2015.
DOI : 10.1016/j.actamat.2015.04.013

URL : https://hal.archives-ouvertes.fr/hal-01229456

Z. Shan, J. A. Knapp, D. M. Follstaedt, E. A. Stach, J. M. Wiezorek et al., Inter-and intra-agglomerate fracture in nanocrystalline nickel, Phys. Rev. Lett, vol.100, p.105502, 2008.

T. Shimokawa, M. Tanaka, K. Kinoshita, and K. Higashida, Roles of grain boundaries in improving fracture toughness of ultrafine-grained metals, Phys. Rev. B, vol.83, p.214113, 2011.

N. K. Simha, F. D. Fischer, G. X. Shan, C. R. Chen, and O. Kolednik, J-integral and crack driving force in elastic-plastic materials, J. Mech. Phys. Solids, vol.56, pp.2876-2895, 2008.

J. Song, W. A. Curtin, T. K. Bhandakkar, and H. J. Gao, Dislocation shielding and crack tip decohesion at the atomic scale, Acta Mater, vol.58, pp.5933-5940, 2010.
DOI : 10.1016/j.actamat.2010.07.009

R. Spatschek, E. Brener, and A. Karma, Phase field modeling of crack propagation, Phil. Mag, vol.91, pp.75-95, 2011.

M. Tanaka, N. Fujimoto, and K. Higashida, Fracture toughness enhanced by grain boundary shielding in submicron-grained low carbon steel, Mater. Trans, vol.49, pp.58-63, 2008.

V. Taupin, L. Capolungo, and C. Fressengeas, Disclination mediated plasticity in shear-coupled boundary migration, Int. J. Plast, vol.53, pp.179-192, 2014.
DOI : 10.1016/j.ijplas.2013.08.002

URL : https://hal.archives-ouvertes.fr/hal-01503714

N. Tsuji, S. Okuno, Y. Koizumi, and Y. Minamino, Toughness of ultrafine grained ferritic steels fabricated by ARB and annealing process, Mater. Trans, vol.45, pp.2272-2281, 2004.

V. Tvergaard and J. W. Hutchinson, The relation between crack growth resistance and fracture process parameters in elastic-plastic solids, J.Mech. Phys. Solids, vol.40, pp.1377-1397, 1992.

M. Upadhyay, L. Capolungo, V. Taupin, and C. Fressengeas, Elastic constitutive laws for incompatible crystalline media: the contributions of dislocations, disclinations and g-disclinations, Phil. Mag, vol.93, pp.794-832, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01501433

S. Varadhan, A. J. Beaudoin, A. Acharya, and C. Fressengeas, Dislocation transport using an explicit galerkin/least-squares formulation, Model. Simul. Mater. Sci. Eng, vol.14, pp.1245-1270, 2006.
DOI : 10.1088/0965-0393/14/7/011

URL : https://hal.archives-ouvertes.fr/hal-00119274

Y. U. Wang, Y. M. Jin, A. M. No, and A. G. Khachaturyan, Nanoscale phase field microelasticity theory of dislocations: model and 3d simulations, Acta Mater, vol.49, pp.1847-1857, 2001.

J. Weertman, Dislocation based fracture mechanics, 1996.
DOI : 10.1115/1.2788975

URL : http://appliedmechanics.asmedigitalcollection.asme.org/data/journals/jamcav/26428/1029_1.pdf

J. Weingarten, Sulle superfici di discontinuita nella teoria dell'elasticita dei corpi solidi, Atti. Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Natur. Rend, vol.10, issue.1, pp.57-60, 1901.

M. L. Williams, Stress singularities resulting from various boundary conditions in angular corners of plates in extension, J. Appl. Mech. Trans. ASME, vol.19, pp.526-528, 1952.

G. Q. Xu and M. J. Demkowicz, Healing of nanocracks by disclinations, Phys. Rev. Lett, vol.111, p.145501, 2013.