M. A. Lebyodkin, Y. Bréchet, Y. Estrin, and L. P. Kubin, Statistics of the Catastrophic Slip Events in the Portevin???Le Ch??telier Effect, Physical Review Letters, vol.18, issue.23, p.4758, 1995.
DOI : 10.1029/91GL01124

H. Mughrabi, T. Ungar, W. Kienle, and M. Wilkens, Long-range internal stresses and asymmetric X-ray line-broadening in tensile-deformed [001]-orientated copper single crystals, Philosophical Magazine A, vol.19, issue.6, p.793, 1986.
DOI : 10.1016/0001-6160(68)90032-1

H. Neuhäuser, Dislocations in Solids, 1983.

M. Zaiser, F. M. Grasset, V. Koutsos, and E. Aifantis, Self-Affine Surface Morphology of Plastically Deformed Metals, Physical Review Letters, vol.47, issue.19, p.195507, 2004.
DOI : 10.1016/j.scriptamat.2004.06.019

F. and L. Chatelier, Influence du temps et de la temp??rature sur les essais au choc, Revue de M??tallurgie, vol.6, issue.8, p.914, 1909.
DOI : 10.1051/metal/190906080914

R. Shabadi, S. Kumar, H. J. Roven, and E. S. Dwarakadasa, Characterisation of PLC band parameters using laser speckle technique, Materials Science and Engineering: A, vol.364, issue.1-2, p.140, 2004.
DOI : 10.1016/j.msea.2003.08.013

M. A. Lebyodkin and T. A. Lebedkina, Multifractal analysis of evolving noise associated with unstable plastic flow, Physical Review E, vol.309, issue.310, p.36114, 2006.
DOI : 10.1016/S0749-6419(03)00035-4

S. Kumar, J. Król, and E. Pink, Mechanism of serrated flow in binary Al-Li alloys, Scripta Materialia, vol.35, issue.6, p.775, 1996.
DOI : 10.1016/1359-6462(96)00218-7

H. Louche, P. Vacher, and R. Arrieux, Thermal observations associated with the Portevin???Le Ch??telier effect in an Al???Mg alloy, Materials Science and Engineering: A, vol.404, issue.1-2, p.188, 2005.
DOI : 10.1016/j.msea.2005.05.058

Y. Brechet and M. A. Lebyodkin, Scale invariance and beyond, p.107, 1997.

M. A. Lebyodkin and T. A. Lebedkina, Multifractality and randomness in the unstable plastic flow near the lower strain-rate boundary of instability, Physical Review E, vol.42, issue.43, p.26111, 2008.
DOI : 10.1103/PhysRevE.72.036219

D. Eshelby, Progress in solid mechanics, Journal of the Mechanics and Physics of Solids, vol.9, issue.1, p.89, 1961.
DOI : 10.1016/0022-5096(61)90040-0

P. W. Bridgman, Studies in large plastic ow and fracture, p.9, 1952.

G. Nicolis and I. Prigogine, Self-organization in nonequilibrium systems : from dissipative structures to order through uctuations, 1977.

H. D. Abarbanel, R. Brown, J. J. Sidorowich, and L. Sh, The analysis of observed chaotic data in physical systems, Reviews of Modern Physics, vol.66, issue.4, p.1331, 1993.
DOI : 10.1103/PhysRevLett.66.3229

P. Bak, C. Tang, and K. Wiesenfeld, Self-organized criticality, Physical Review A, vol.58, issue.1, p.364, 1988.
DOI : 10.1103/PhysRevLett.58.1161

P. Bak, How nature works : the science of self-organized criticality, 1996.

M. B. Weissman, noise and other slow, nonexponential kinetics in condensed matter, Reviews of Modern Physics, vol.34, issue.57, p.537, 1994.
DOI : 10.1103/PhysRevB.34.773

J. M. Carlson, J. S. Langer, and B. E. Shaw, Dynamics of earthquake faults, Reviews of Modern Physics, vol.191, issue.2, p.657, 1994.
DOI : 10.1016/0378-4371(92)90507-M

H. M. Jaeger, C. H. Liu, and S. R. Nagel, Relaxation at the Angle of Repose, Physical Review Letters, vol.66, issue.1, p.40, 1989.
DOI : 10.1016/0022-0396(87)90038-6

A. A. Konstantinidis and E. C. , Recent Developments in Gradient Plasticity???Part II: Plastic Heterogeneity and Wavelets, Journal of Engineering Materials and Technology, vol.14, issue.236, p.358, 2002.
DOI : 10.1016/S1359-6454(98)00153-0

A. Sarkar, L. Charles, . Jr, P. Webber, P. Barat et al., Recurrence analysis of the Portevin???Le Chatelier effect, Physics Letters A, vol.372, issue.7, p.1101, 2008.
DOI : 10.1016/j.physleta.2007.08.055

D. Kugiumtzis, A. Kehagias, E. C. Aifantis, and H. Neuhäuser, Statistical analysis of the extreme values of stress time series from the Portevin???Le Ch??telier effect, Physical Review E, vol.2, issue.236, p.36110, 2004.
DOI : 10.1002/(SICI)1521-396X(199804)166:2<791::AID-PSSA791>3.0.CO;2-5

G. Ananthakrishna, S. J. Noronha, C. Fressengeas, and L. P. Kubin, Crossover from chaotic to self-organized critical dynamics in jerky flow of single crystals, Physical Review E, vol.23, issue.5, p.5455, 1999.
DOI : 10.1088/0305-4470/23/9/006

M. Lebyodkin, L. Dunin-barkowskii, Y. Brechet, Y. Estrin, and L. Kubin, Spatio-temporal dynamics of the Portevin???Le Chatelier effect: experiment and modelling, Acta Materialia, vol.48, issue.10, p.2529, 2000.
DOI : 10.1016/S1359-6454(00)00067-7

T. A. Lebedkina and M. A. Lebyodkin, Effect of deformation geometry on the intermittent plastic flow associated with the Portevin???Le Chatelier effect, Acta Materialia, vol.56, issue.19, p.5567, 2008.
DOI : 10.1016/j.actamat.2008.07.025

M. S. Bharathi, M. Lebyodkin, G. Ananthakrishna, C. Fressengeas, and L. P. Kubin, The hidden order behind jerky flow, Acta Materialia, vol.50, issue.11, p.2813, 2002.
DOI : 10.1016/S1359-6454(02)00099-X

URL : https://hal.archives-ouvertes.fr/hal-00119285

P. G. Mccormick and C. P. Ling, Numerical modelling of the Portevin???Le Chatelier effect, Acta Metallurgica et Materialia, vol.43, issue.5, p.1969, 1995.
DOI : 10.1016/0956-7151(94)00390-4

T. Böhlke, G. Bondár, Y. Estrin, and M. A. Lebyodkin, Geometrically non-linear modeling of the Portevin???Le Chatelier effect, Computational Materials Science, vol.44, issue.4, p.1076, 2009.
DOI : 10.1016/j.commatsci.2008.07.036

S. Zhang, P. G. Mccormick, and Y. Estrin, The morphology of Portevin???Le Chatelier bands: finite element simulation for Al???Mg???Si, Acta Materialia, vol.49, issue.6, p.1087, 2001.
DOI : 10.1016/S1359-6454(00)00380-3

G. Lasko, P. Hähner, S. Schmauder, and . Model, Finite element simulation of the Portevin-LeChatelier effect, Modelling and Simulation in Materials Science and Engineering, vol.13, issue.5, p.645, 2005.
DOI : 10.1088/0965-0393/13/5/001

S. Varadhan, A. J. Beaudoin, and C. Fressengeas, Lattice incompatibility and strain-aging in single crystals, Journal of the Mechanics and Physics of Solids, vol.57, issue.10, p.1733, 2009.
DOI : 10.1016/j.jmps.2009.06.007

G. Ananthakrishna, Current theoretical approaches to collective behavior of dislocations, Physics Reports, vol.440, issue.4-6, p.113, 2007.
DOI : 10.1016/j.physrep.2006.10.003

J. Weiss and J. Grasso, Acoustic Emission in Single Crystals of Ice, The Journal of Physical Chemistry B, vol.101, issue.32, p.6113, 1997.
DOI : 10.1021/jp963157f

T. Richeton, J. Weiss, and F. Louchet, Breakdown of avalanche critical behaviour in polycrystalline plasticity, Nature Materials, vol.34, issue.6, p.465, 2005.
DOI : 10.1029/96RG02808

URL : https://hal.archives-ouvertes.fr/insu-00374916

J. Weiss, T. Richeton, F. Louchet, F. Chmelik, P. Dobron et al., Evidence for universal intermittent crystal plasticity from acoustic emission and high-resolution extensometry experiments, Physical Review B, vol.4, issue.389, p.224110, 2007.
DOI : 10.1126/science.1124141

URL : https://hal.archives-ouvertes.fr/insu-00377530

C. Fressengeas, A. J. Beaudoin, D. Entemeyer, T. Lebedkina, M. Lebyodkin et al., Dislocation transport and intermittency in the plasticity of crystalline solids, Physical Review B, vol.7, issue.1, p.14108, 2009.
DOI : 10.1126/science.1156101

D. M. Dimiduk, C. Woodward, R. Lesar, and M. D. Uchic, Scale-Free Intermittent Flow in Crystal Plasticity, Science, vol.312, issue.5777, p.1188, 2006.
DOI : 10.1126/science.1123889

A. Acharya, A. J. Beaudoin, and R. Miller, New Perspectives in Plasticity Theory: Dislocation Nucleation, Waves, and Partial Continuity of Plastic Strain Rate, Mathematics and Mechanics of Solids, vol.70, issue.3-4, p.292, 2008.
DOI : 10.1016/0001-6160(53)90054-6

L. B. Zuev and V. I. Danilov, Plastic deformation viewed as evolution of an active medium, International Journal of Solids and Structures, vol.34, issue.29, p.3795, 1997.
DOI : 10.1016/S0020-7683(97)00003-6

L. B. Zuev, V. I. Danilov, S. A. Barannikova, and V. V. Gorbatenko, Autowave model of localized plastic flow of solids, Physics of Wave Phenomena, vol.42, issue.6, p.66, 2009.
DOI : 10.1080/01418610208240024

H. Kolsky, Stress waves in solids, Journal of Sound and Vibration, vol.1, issue.1, 1963.
DOI : 10.1016/0022-460X(64)90008-2

V. I. Krinsky, Self-Organization. Auto-waves and Structures Far from Equilibrium, p.9, 1984.

H. Ait-amokhtar, C. Fressengeas, and S. Boudrahem, The dynamics of Portevin???Le Chatelier bands in an Al???Mg alloy from infrared thermography, Materials Science and Engineering: A, vol.488, issue.1-2, p.540, 2008.
DOI : 10.1016/j.msea.2007.11.075

A. Ziegenbein, P. Hähner, and H. Neuhäuser, Correlation of temporal instabilities and spatial localization during Portevin???LeChatelier deformation of Cu???10 at.% Al and Cu???15 at.% Al, Computational Materials Science, vol.19, issue.1-4, p.27, 2000.
DOI : 10.1016/S0927-0256(00)00136-1

B. Gutenberg and C. F. Richter, Bulletin of the Seismolgical Society of America, p.163, 1942.

T. C. Halsey, M. H. Jensen, L. P. Kadano, I. Procaccia, and B. I. Shraiman, Fractal measures and their singularities: The characterization of strange sets, Physical Review A, vol.55, issue.2, p.1141, 1986.
DOI : 10.1103/PhysRevLett.55.2798

A. Chhabra and R. Jensen, Direct determination of the f(??) singularity spectrum, Physical Review Letters, vol.114, issue.12, p.1327, 1989.
DOI : 10.1016/0375-9601(86)90695-X

M. A. Lebyodkin, T. A. Lebedkina, and A. Jacques, Multifractal analysis of unstable plastic ow, 2009.

M. Abbadi, P. Hähner, and A. , On the characteristics of Portevin???Le Chatelier bands in aluminum alloy 5182 under stress-controlled and strain-controlled tensile testing, Materials Science and Engineering: A, vol.337, issue.1-2, p.194, 2002.
DOI : 10.1016/S0921-5093(02)00036-9

F. Chmelík, A. Ziegenbein, H. Neuhäuser, and P. Luká£, Investigating the Portevin???Le Ch??telier effect by the acoustic emission and laser extensometry techniques, Materials Science and Engineering: A, vol.324, issue.1-2, p.200, 2002.
DOI : 10.1016/S0921-5093(01)01312-0

F. Chmelík, F. B. Klose, H. Dierke, J. ’achl, H. Neuhäuser et al., Investigating the Portevin???Le Ch??telier effect in strain rate and stress rate controlled tests by the acoustic emission and laser extensometry techniques, Materials Science and Engineering: A, vol.462, issue.1-2, p.53, 2007.
DOI : 10.1016/j.msea.2006.01.169

M. A. Lebyodkin, T. A. Lebedkina, F. Chmelík, T. T. Lamark, Y. Estrin et al., Intrinsic structure of acoustic emission events during jerky flow in an Al alloy, Physical Review B, vol.45, issue.17, p.174114, 2009.
DOI : 10.1007/978-1-4899-2124-6

URL : https://hal.archives-ouvertes.fr/insu-00420864

J. Kertész and L. B. Kiss, The noise spectrum in the model of self-organised criticality, Journal of Physics A: Mathematical and General, vol.23, issue.9, p.433, 1990.
DOI : 10.1088/0305-4470/23/9/006

B. Devincre, T. Hoc, and L. Kubin, Dislocation Mean Free Paths and Strain Hardening of Crystals, Science, vol.483484, issue.5775, p.1745, 2008.
DOI : 10.1126/science.1125799

P. J. Cote and L. V. , Self-organized criticality and the Barkhausen effect, Physical Review Letters, vol.57, issue.10, p.1334, 1991.
DOI : 10.1063/1.335490

URL : http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA252761&Location=U2&doc=GetTRDoc.pdf

E. V. Matizen, S. M. Ishikaev, and V. A. Oboznov, Magnetic moment of square SIS Josephson arrays: Self-organized criticality, Journal of Experimental and Theoretical Physics, vol.73, issue.155, p.1065, 2004.
DOI : 10.1002/352760278X

J. M. Carlson, J. S. Langer, and B. E. Shaw, Dynamics of earthquake faults, Reviews of Modern Physics, vol.191, issue.2, p.657, 1994.
DOI : 10.1016/0378-4371(92)90507-M

J. P. Sethna, K. Dahmen, S. Kartha, J. A. Krumhansl, B. W. Roberts et al., Hysteresis and hierarchies: Dynamics of disorder-driven first-order phase transformations, Physical Review Letters, vol.127, issue.21, p.3347, 1993.
DOI : 10.1016/0921-5093(90)90309-Q

D. Sornette, Power laws without parameter tuning: An alternative to self-organized criticality, Physical Review Letters, vol.7, issue.14, p.2306, 1994.
DOI : 10.1115/1.2894060

C. J. Pérez, Á. Corral, A. Díaz-guilera, K. Christensen, and A. Arenas, ON SELF-ORGANIZED CRITICALITY AND SYNCHRONIZATION IN LATTICE MODELS OF COUPLED DYNAMICAL SYSTEMS, International Journal of Modern Physics B, vol.10, issue.10, p.1111, 1996.
DOI : 10.1142/S0217979296000416

L. P. Kubin, C. Fressengeas, and G. Ananthakrishna, Collective behaviour of dislocations in plasticity, Dislocations in Solids, p.101192, 2002.

H. Ait-amokhtar and C. Fressengeas, Crossover from continuous to discontinuous propagation in the Portevin???Le Chatelier effect, Acta Materialia, vol.58, issue.4, p.1342, 2010.
DOI : 10.1016/j.actamat.2009.10.038

A. Korbel and H. Dybiec, Acta metall, 1981.