;. A. Acharya and . Acharya, J. Mech. Phys. Solids, vol.49, p.761, 2001.

N. C. Admal, J. Marian, and G. Po, Int. J. Solids Structures, vol.51, p.4157, 2014.

M. Born and K. Huang, The International Series of Monographs on Physics, 1954.

;. P. Cordier, S. Cordier, B. Demouchy, V. Beausir, F. Taupin et al., Nature, vol.507, pp.51-56, 2014.

M. P. Dewald and W. A. Curtin, Phil. Mag, vol.87, pp.4615-4641, 2007.

R. Dewit, Fundamental aspects of dislocation theory, vol.317, pp.651-673, 1970.

[. Di-paola, ;. M. Di-paola, G. Failla, A. Pirrotta, A. Sofi et al., Phil. Trans. R. Soc. A, vol.371, p.20120433, 2013.

;. R. Dingreville, A. Dingreville, S. Hallil, and . Berbenni, J. Mech. Phys. Solids, vol.72, pp.40-60, 2014.

;. S. Djaka, V. Djaka, S. Taupin, C. Berbenni, and . Fressengeas, Modelling and Simulation in Materials Science and Engineering, vol.23, p.65008, 2015.

;. K. Djaka, A. Djaka, V. Villani, L. Taupin, S. Capolungo et al., Int. J. Engng. Sci, vol.4, pp.179-202, 1966.

A. C. Eringen and D. G. Edelen, Int. J. Engng. Sci, vol.10, pp.233-248, 1972.

A. C. Eringen, B. S. Eringen, and . Kim, Crystal Lattice Defects, vol.7, pp.51-57, 1977.

A. C. Eringen and . Eringen, Civil Engng. Res. Report, 1977.

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

R. P. Feynman, , 1939.

C. Fressengeas, V. Taupin, and L. Capolungo, Int. J. Solids Structures, vol.48, pp.3499-3509, 2011.

C. Fressengeas, V. Taupin, and L. Capolungo, Int. J. Solids Structures, vol.51, p.1434, 2014.

K. Gbemou, V. Taupin, J. M. Raulot, and C. Fressengeas, Int. J. Plasticity, vol.82, p.241, 2016.

R. J. Hardy, J. Chem. Phys, vol.76, pp.622-628, 1982.

;. J. Irvin-kirkwood, J. G. Irving, and . Kirkwood, J. Chem. Phys, vol.18, pp.817-829, 1950.

B. Joós, Q. Ren, and M. S. Duesberry, Phys. Rev. B, vol.50, p.5890, 1994.

E. Kröner-;-r.-balian, Physics of Defects, pp.218-314, 1980.

M. Lazar, J. Physics A: Math. Gen, vol.36, p.1415, 2003.

;. M. Lazar, E. Lazar, and . Agiasofitou, Int. J. Eng. Science, vol.49, pp.1404-1414, 2011.

M. Lazar and G. Po, Eur. J. Mech. A/Solids, vol.50, pp.152-162, 2015.

;. G. Lu, N. Lu, V. V. Kioussis, E. Bulatov, and . Kaxiras, Phys. Rev. B, vol.62, pp.3099-3108, 2000.

;. R. Miller, R. Miller, and . Phillips, Philos. Mag. A, vol.73, p.803, 1996.

;. R. Mindlin, H. F. Mindlin, and . Tiersten, Arch. Rat. Mech. Anal, vol.11, p.415, 1962.

H. Moulinec and P. Suquet, Comput. Methods Appl. Mech. Eng, vol.157, pp.69-94, 1998.

. Murdoch-bedeaux, Proc. R. Soc. Lond. A, vol.445, pp.157-179, 1994.

A. I. Murdoch, J. Elasticity, vol.88, pp.113-140, 2007.

F. R. Nabarro, Proc. Phys. Soc, vol.59, p.256, 1947.

;. O. Nielsen-martin, R. M. Nielsen, and . Martin, Phys. Rev. B, vol.32, pp.3780-3791, 1985.

W. Noll, J. Ration. Mech. Anal, vol.4, pp.627-646, 1955.

;. J. Nye and . Nye, Acta Metall, vol.1, p.153, 1953.

;. W. Pauli and . Pauli, Handbuch der Physik, pp.83-272, 1933.

R. Peierls, Proc. Phys. Soc, vol.52, p.34, 1940.

;. G. Po, M. Po, D. Lazar, N. Seif, and . Ghoniem, J. Mech. Phys. Solids, vol.68, pp.161-178, 2014.

C. Polizzotto, Int. J. Solids Structures, vol.38, pp.7359-7380, 2001.

L. Priester, Mat. Sci. Eng. A309, vol.310, pp.430-439, 2001.

;. E. Schrödinger and . Schrödinger, Ann. Phys. (Leipzig), vol.82, p.265, 1927.

, Mater. Sci. Eng. A, vol.333, pp.390-396, 2002.

;. D. Seif, G. Seif, M. Po, M. Mrovec, C. Lazar et al., Phys. Rev. B, vol.91, p.184102, 2014.

C. Shen, Y. Wang, and Y. , Acta Mater, vol.52, p.683, 2004.

D. E. Spearot, M. A. Tschopp, K. I. Jacob, and D. L. Mcdowell, Acta Materialia, vol.55, pp.705-714, 2007.

D. E. Spearot, L. Capolungo, J. Qu, and M. Cherkaoui, Computational Materials Science, vol.42, pp.57-67, 2008.

X. Sun, V. Taupin, C. Fressengeas, and P. Cordier, Int. J. Plast, vol.77, p.75, 2016.

;. V. Taupin, L. Taupin, C. Capolungo, A. Fressengeas, M. Das et al., J. Mech. Phys. Solids, vol.61, p.370, 2013.

V. Taupin, L. Capolungo, and C. Fressengeas, Int. J. Plast, vol.53, pp.179-192, 2014.

Z. T. Trautt and Y. Mishin, Acta Mater, vol.60, pp.2407-2424, 2012.

;. D. Tsai and . Tsai, J. Chem. Phys, vol.70, pp.1375-1382, 1979.

;. M. Tschopp, D. E. Tschopp, D. L. Spearot, and . Mcdowell, Dislocations in Solids, vol.14, p.43, 2008.

G. J. Tucker, J. A. Tucker, D. L. Zimmerman, and . Mcdowell, Model. Simul. Mater. Sci. Eng, vol.18, p.15002, 2010.

;. G. Tucker, S. Tucker, J. A. Tiwari, D. L. Zimmerman, and . Mcdowell, J. Mech. Phys. Solids, vol.60, pp.471-486, 2012.

;. G. Tucker, S. M. Tucker, and . Foiles, Int. J. Plast, vol.65, pp.191-205, 2015.

M. Upadhyay, L. Capolungo, V. Taupin, and C. Fressengeas, Phil. Mag, vol.93, p.794, 2013.

;. J. Zimmerman, D. J. Zimmerman, H. Bammann, and . Gao, Int. J. Solids Struct, vol.46, pp.238-253, 2009.