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

J. Friedel and . Dislocations, , 1964.

J. P. Hirth, Dislocations, steps and disconnections at interfaces, J. Phys. Chem. Solids, vol.55, pp.985-989, 1994.

K. Kondo, RAAG Memoirs of the Unifying Study of the Basic Problems in Engineering Sciences by Means of Geometry; Unifying Study Group, 1955.

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

F. R. Nabarro, Dislocations in Solids, 1967.

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. R. Soc. Lond. A, vol.285, pp.22-23, 1965.

D. A. Hills, P. A. Kelly, D. N. Dai, and A. M. Korsunsky, Solution of Crack Problems: The Distributed Dislocation Technique, 1996.

T. Mura, Micromechanics of Defects in Solids

. Martinus-nijhoff-publishers, , 1987.

J. Weertman, Dislocation Based Fracture Mechanics, 1996.

E. Kröner and . Kontinuumstheorie-der-versetzungen-und-eigenspannungen,

, Ergeb. Agnew. Math, vol.5, 1958.

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

G. A. Maugin, Configurational Forces: Thermodynamics

&. Chapman, /. Hall, and . Crc, , 2011.

H. Miyamoto and K. Kageyama, Extension of J-integral to the general elasto-plastic problem and suggestion of a new method for its evaluation, Proceedings of the 1st International Conference on Numerical Methods in Fracture Mechanics, pp.9-13, 1978.

A. R. Luxmoore and D. R. Owen, , pp.261-275

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.

C. Fressengeas and V. Taupin, A field theory of strain/curvature incompatibility for coupled fracture and plasticity, Int. J. Solids Struct, vol.82, pp.16-38, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01403812

A. A. Griffith, The phenomenon of rupture and flow in solids, Phil. Trans. R. Soc. Lond. A, vol.221, pp.163-198, 1921.

Y. Pomeau, Brisure spontanée de cristaux bidimensionnels courbés, C. R. Acad. Sci, vol.314, pp.553-556, 1992.

A. Rabinovitch, M. Friedman, and D. Bahat, Failure time in heterogeneous materials-Non-homogeneous nucleation, Europhys. Lett, vol.67, pp.969-975, 2004.

S. Gupta, A. J. Beaudoin, and J. Chevy, Strain rate jump induced negative strain rate sensitivity (NSRS) in aluminum alloy 2024: Experiments and constitutive modeling, Mater. Sci. Eng. A, vol.683, pp.143-152, 2017.

T. F. Morgeneyer, T. Taillandier-thomas, L. Helfen, T. Baumbach, I. Sinclair et al., In situ 3-D observation of early strain localization during failure of thin Al alloy (2198) sheet, Acta Mater, p.78, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00952176

T. F. Morgeneyer, T. Taillandier-thomas, A. Buljac, L. Helfen, and F. Hild, On strain and damage interactions during tearing: 3D in situ measurements and simulations for a ductile alloy (AA2139-T3), J. Mech. Phys. Solids, vol.96, pp.550-571, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01383922

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

, Springer Series in Scientific Computation, 1998.

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

E. H. Lee, Elastic-plastic deformation at finite strains, J. Appl. Phys, vol.36, pp.1-6, 1969.

A. Acharya, Jump condition for GND evolution as a constraint on slip transmission at grain boundaries. Phil. Mag, vol.87, pp.1349-1359, 2007.

A. Garg, A. Acharya, and C. E. Maloney, A study of conditions for dislocation nucleation in coarser-than-atomistic scale models, J. Mech. Phys. Solids, vol.75, pp.76-92, 2015.

S. Varadhan, A. J. Beaudoin, A. Acharya, and C. Fressengeas, Dislocation transport using an explicit Galerkin/least-squares formulation, Modell. Simul. Mater. Sci. Eng, vol.14, pp.1245-1270, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00119274

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

A. Guarino, S. Ciliberto, and A. Garcimartín, Failure time and microcrack nucleation, Europhys. Lett, vol.47, pp.456-461, 1999.

C. L. Dias, J. Kröger, D. Vernon, and M. Grant, Nucleation of cracks in a brittle sheet, Phys. Rev. E, vol.80, p.66109, 2009.

L. S. Hounsome, R. Jones, P. M. Martineau, D. Fisher, M. J. Shaw et al., Origin of brown coloration in diamond, Phys. Rev. B, p.125203, 2006.

J. Rabier and L. Pizzagalli, Dislocation dipole annihilation in diamond and silicon, J. Phys. Conf. Ser, 2011.

L. Golubovic and S. Feng, Rate of microcrack nucleation, Phys. Rev. A, vol.43, pp.5223-5227, 1991.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 1965.

F. Di-gioacchino and J. Q. Da-fonseca, Plastic Strain Mapping with Sub-micron Resolution Using Digital Image Correlation, Exp. Mech, vol.53, pp.743-754, 2013.

F. Di-gioacchino and J. Q. Da-fonseca, An experimental study of the polycrystalline plasticity of austenitic stainless steel, Int. J. Plast, vol.74, pp.92-109, 2015.

T. C. Chu, W. F. Ranson, M. A. Sutton, and W. H. Peters, Applications of digital-image-correlation techniques to experimental mechanics, Exp. Mech, vol.25, pp.232-244, 1985.

M. A. Sutton, M. Q. Cheng, W. H. Peters, Y. J. Chao, and S. R. Mcneill, Application of an optimized digital image correlation method to planar deformation analysis, Image Vis. Comp, vol.4, pp.143-150, 1986.

E. Fagerholt, T. B. Rvik, and O. S. Hopperstad, Measuring discontinuous displacement fields in cracked specimens using digital image correlation to mesh adaptation and crack-path optimization, Opt. Lasers Eng, vol.51, pp.299-310, 2013.

J. Liu, J. Lyons, M. A. Sutton, and A. Reynolds, Experimental characterization of crack tip deformation fields in alloy 718 at high temperatures, J. Eng. Mat. Tech. Trans. ASME, vol.120, pp.71-78, 1998.

S. R. Mcneill, W. H. Peters, and M. A. Sutton, Estimation of stress intensity factor by digital image correlation, Eng. Fract. Mech, vol.28, pp.101-112, 1987.

V. Valle, S. Hedan, P. Cosenza, A. L. Fauchille, and M. Berdjane, Digital Image Correlation Development for the Study of Materials Including Multiple Crossing Cracks, Exp. Mech, vol.55, pp.379-391, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01269981

J. Chen, Y. Madi, T. F. Morgeneyer, and J. Besson, Plastic flow and ductile rupture of a 2198 Al-Cu-Li aluminum alloy, Comput. Mater. Sci, vol.50, pp.1365-1371, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00569967

A. Acharya, A model of crystal plasticity based on the theory of continuously distributed dislocations, J. Mech. Phys. Solids, vol.49, pp.761-784, 2001.

A. Roy and A. Acharya, Finite element approximation of Field Dislocation Mechanics, J. Mech. Phys. Solids, vol.53, p.143, 2005.

S. Berbenni, V. Taupin, K. S. Djaka, and C. Fressengeas, A numerical spectral approach for solving elasto-static field dislocation and g-disclination mechanics, Int. J. Solids Struct, vol.51, pp.4157-4175, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01515210

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