A. Acharya, A model of crystal plasticity based on the theory of continuously distributed dislocations, J. Mech. Phys. Solids, vol.49, pp.761-785, 2001.

A. Acharya and C. Fressengeas, Coupled phase transformations and plasticity as a field theory of deformation incompatibility, Int. J. Fract, vol.174, pp.87-94, 2012.

A. Acharya and C. Fressengeas, Continuum mechanics of the interaction of phase boundaries and dislocations in solids, Proceedings in Mathematics and Statistics for Workshop on Differential Geometry and Continuum Mechanics, vol.137, pp.125-168, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01517396

A. Acharya and A. Roy, Size effects and idealized dislocation microstructure at small scales: predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I, J. Mech. Phys. Solids, vol.54, pp.1687-1710, 2006.

K. H. Anthony, Die Theorie der Disklinationen, Arch. Rat. Mech. Anal, vol.39, pp.43-88, 1970.

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 Structures, vol.51, pp.4157-4175, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01515210

B. A. Bilby, R. Bullough, and E. Smith, Continuous distributions of dislocations: a new application of the methods of non-Riemannian geometry, Proc. Roy. Soc. London A, vol.231, pp.263-273, 1955.

R. Brenner, A. J. Beaudoin, P. Suquet, and A. Acharya, Numerical implementation of static field dislocation mechanics theory for periodic media, Philos. Mag, vol.94, pp.1764-1787, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00918607

R. Dewit, J. A. Simmons, and R. De-wit, Linear theory of static disclinations, Fundamental aspects of dislocation theory, vol.317, pp.651-680, 1970.

R. Dewit, Theory of disclinations: IV. Straight disclinations, J. Res. Nat. Bureau of Standards, A. Physics and Chemistry, vol.77, issue.5, pp.607-658, 1973.

W. Dreyer, W. H. Müller, and J. Olschewski, An approximate analytical 2D-solution for the stresses and strains in eigenstrained cubic materials, Acta Mech, vol.136, issue.3-4, pp.171-192, 1999.

A. C. Eringen, Non local continuum field theories, 2002.

D. J. Eyre and G. W. Milton, A fast numerical scheme for computing the response of composites using grid refinement, Eur. Phys. J. Appl. Phys, vol.6, pp.41-47, 1999.

S. Forest, Milieux continus généralisés et matériaux hétérogènes. Presses de l'Ecole des Mines, 2006.

C. Fressengeas, V. Taupin, and L. Capolungo, An elasto-plastic theory of dislocation and disclination fields, Int. J. Solids Structures, vol.48, pp.3499-3509, 2011.
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 Structures, vol.51, issue.6, pp.1434-1441, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01503446

M. Frigo and S. G. Johnson, The design and implementation of FFTW3, Proceedings of the IEEE, vol.93, issue.2, pp.216-231, 2005.

V. Y. Gertsman, A. A. Nazarov, A. E. Romanov, R. Z. Valiev, and V. I. Vladimirov, Disclination-structural unit model of grain boundaries, Philos. Mag. A, vol.59, issue.5, pp.1113-1118, 1989.

P. A. Gourgiotis and H. G. Georgiadis, An approach based on distributed dislocations and disclinations for crack problems in couple-stress theory, Int. J. Solids Structures, vol.45, pp.5521-5539, 2008.

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

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

S. Kassbohm, Fourierreihen zur Berechnung repräsentativer Volumenelemente mit Mikrostruktur, 2006.

S. Kassbohm, W. H. Müller, G. Silber, and R. Fessler, Fourier Series for Continua with Microstructure, PAMM -Proc. Appl. Math. Mech, vol.6, pp.487-488, 2006.

W. T. Koiter, Couple stresses in the theory of elasticity, I and II, Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, vol.67, pp.17-44, 1964.

A. M. Kosevich and . Nabarro, Crystal dislocations and the theory of elasticity (chap. 1), In: Dislocations in Solids, vol.1, pp.33-141, 1979.

E. Kröner, Kontinuumstheorie der Versetzungen und Eigenspannungen, Ergebnisse der Angewewandte Mathematik, vol.5, 1958.

E. Kröner, On the physical reality of torque stresses in continuum mechanics, Int. J. Engng. Sci, vol.1, pp.261-278, 1963.

E. Kröner, Mechanics of Generalized Media, Proceedings of the IUTAM Symposium on the generalized Cosserat continuum and the continuum theory of dislocations with applications, 1968.

E. Kröner, Continuum theory of defects, Physics of defects, vol.35, pp.215-315, 1981.

R. A. Lebensohn, N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform, Acta Mater, vol.49, pp.2723-2737, 2001.

J. C. Li, Disclination model of high angle grain boundaries, Surface Science, vol.31, pp.12-26, 1972.

V. A. Lubarda, The effects of couple stresses on dislocation strain energy, Int. J. Solids Structures, vol.40, pp.3807-3826, 2003.

J. C. Michel, H. Moulinec, and P. Suquet, A computational scheme for linear and non-linear composites with arbitrary phase contrast, Int. J. Num. Methods Engrg, vol.52, pp.139-160, 2001.

R. D. Mindlin and H. F. Tiersten, Effects of couple-stresses in linear elasticity, Arch. Rat. Mech. Anal, vol.11, pp.415-488, 1962.

H. Moulinec and P. Suquet, A fast numerical method for computing the linear and non linear properties of composites, C. R. Acad. Sci. Paris II, vol.318, pp.1417-1423, 1994.

H. Moulinec and P. Suquet, A numerical method for computing the overall response of nonlinear composites with complex microstructure, Comput. Methods Appl. Mech. Engrg, vol.157, pp.69-94, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01282728

W. H. Müller, Mathematical vs. experimental stress analysis of inhomogeneities in solids, J. Phys. IV, vol.6, issue.C1, pp.139-148, 1996.

T. Mura, Continuous distribution of moving dislocations, Philos. Mag, vol.89, pp.843-857, 1963.

A. A. Nazarov, O. A. Shenderova, and D. W. Brenner, On the disclination-structural unit model of grain boundaries, Mater. Sci. Eng. A, vol.281, issue.1, pp.148-155, 2000.

P. Neff, J. Jeong, and H. Ramidreza, Subgrid interaction and micro-randomness -Novel invariance requirements in infinitesimal gradient elasticity, Int. J. Solids Structures, vol.46, pp.4261-4276, 2009.

S. Neumann, K. P. Herrmann, and W. H. Müller, Stress/strain computation in heterogeneous bodies with discrete fourier transforms -different approaches, Comp. Mater. Sci, vol.25, pp.151-158, 2002.

W. Nowacki, Theory of asymmetric elasticity, 1986.

J. F. Nye, Some geometrical relations in dislocated crystals, Acta Metall, vol.1, pp.153-162, 1953.

A. Prakash and R. A. Lebensohn, Simulation of micro mechanical behavior of polycrystals: Finite Elements versus Fast Fourier Transforms, Modell. Simul. Mater. Sci. Eng, vol.17, p.16, 2012.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical recipes in C++. The art of scientific computing, 2002.

A. E. Romanov and V. Vladimirov, Disclinations in crystalline solids (chap. 47), In: Dislocations in Solids, vol.9, pp.191-402, 1992.

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

V. P. Smyshlyaev and N. A. Fleck, Bounds and estimates for linear composites with strain gradient effects, J. Mech. Phys. Solids, vol.42, pp.1851-1882, 1994.

V. Taupin, L. Capolungo, C. Fressengeas, A. Das, and M. Upadhyay, Grain boundary modeling using an elasto-plastic theory of dislocation and disclination fields, J. Mech. Phys. Solids, vol.61, pp.370-384, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01501431

M. V. Upadhyay, On the role of defect incompatibilities on mechanical properties of polycrystalline aggregates: a multiscale study, 2014.

M. V. Upadhyay, L. Capolungo, V. Taupin, and C. Fressengeas, Grain boundary and triple junction energies in crystalline media: a disclination based approach, Int. J. Solids Structures, vol.48, issue.22, pp.3176-3193, 2011.

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

V. Vinogradov and G. W. Milton, An accelerated FFT algorithm for thermoelastic and non-linear composites, Int. J. Num. Meth. Eng, vol.76, pp.1678-1695, 2008.

S. Volterra, Sur l'équilibre des corpsélastiques multiplement connexes, Ann. Sci. Ecol. Norm. Sup. III, vol.24, pp.401-517, 1907.

J. R. Willis, Second-order effects of dislocations in anisotropic crystals, Int. J. Eng. Sci, vol.5, pp.171-190, 1967.

Q. S. Zheng and Z. Zhao, Green's function and Eshelby's fields in couple-stress elasticity, Int. J. Multiscale Comput. Eng, vol.2, pp.15-27, 2004.