W. D. Bibliographie and . Armstrong, The non-linear deformation of magnetically dilute magnetostrictive particulate composites, Materials Science and Engineering A, pp.285-298, 2000.

G. Arnold, Identification de lois de comportement pour la simulation de procédés de mise en formèformè a froid, Thèse de doctorat, 2005.

B. Astié, J. Degauque, J. L. Porteseil, and R. Vergne, Predictions of the random potential energy models of domain wall motion: An experimental investigation on high-purity iron, Journal of Magnetism and Magnetic Materials, vol.28, issue.1-2, pp.28-149, 1982.
DOI : 10.1016/0304-8853(82)90039-7

M. Azoum, F. Besbes, and . Bouillault, 3D FEM of magnetostriction phenomena using coupled constitutive laws, International Journal of Applied Electromagnetics and Mechanics, vol.19, p.367, 2004.

B. Bacroix, J. J. Jonas, F. Montheillet, and A. Skalli, Grain reorientation during the plastic deformation of f.c.c. metals, Acta Metallurgica, vol.34, issue.5, pp.34-937, 1986.
DOI : 10.1016/0001-6160(86)90067-2

G. Ban and F. Janosi, Measuring system and evaluation method of DC and AC magnetostriction behaviour to investigate 3.2% SiFe GO electrical steels, Journal of Magnetism and Magnetic Materials, pp.160-167, 1996.

Y. Bernard and F. Ossart, Comparison between two models of magnetic hysteresis accounting for stress, International Journal of Applied Electromagnetics and Mechanics, vol.19, p.551, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01227367

M. Berveiller and A. Zaoui, An extension of the self-consistent scheme to plastically-flowing polycrystals, Journal of the Mechanics and Physics of Solids, vol.26, issue.5-6, p.325, 1978.
DOI : 10.1016/0022-5096(78)90003-0

A. Böttcher, T. Gerber, and K. Lücke, Determination of microtexture of initial stages of secondary recrystallisation in Fe???3 wt-%Si by etch pitting, Materials Science and Technology, vol.8, issue.1, p.16, 1992.
DOI : 10.1016/0026-0800(77)90046-5

M. Bozorth, Ferromagnetism, 1951.
DOI : 10.1109/9780470544624

P. Brissonneau, Magnétisme et matériaux magnétiques pour l'´ electrotechnique, Hermes, 1997.

N. Buiron, Modélisation multiéchelle du comportement magnéto-´ elastique couplé des matériaux ferromagnétiques doux, thèse de doctorat, 2000.

N. Buiron, L. Hirsinger, and R. Billardon, Influence of the texture of soft magnetic materials on their magneto-elastic behaviour, Le Journal de Physique IV, vol.11, issue.PR4, p.373, 2001.
DOI : 10.1051/jp4:2001445

C. Buvat, Etude de l'anisotropie et de l'hétérogénéité des comportements magnétique et mécanique d'un alliage de fer-siliciumàsilicium`siliciumà grains orientés, thèse de doctorat, pp.ENS-Cachan, 2000.

N. A. Buznikov, A. S. Antonov, C. G. Kim, C. O. Kim, A. A. Rakhmanov et al., The effect of domain-walls motion on second harmonic amplitude of magnetoinductive response in Co-based amorphous wires, Journal of Magnetism and Magnetic Materials, vol.285, issue.1-2, p.285, 2005.
DOI : 10.1016/j.jmmm.2004.07.022

W. J. Carr, Magnetism and metallurgy, N.Y, p.45, 1969.

W. E. Carrington and D. Mclean, Slip nuclei in silicon-iron, Acta Metallurgica, vol.13, issue.5, p.493, 1965.
DOI : 10.1016/0001-6160(65)90099-4

. Cerri, Comportement magnéto-mécanique d'une ferrite NiZn -Aspects expérimentaux et numériques, Mémoire de Master, 2004.

S. Chikazumi, Physics of ferromagnetism, 1997.

F. Claeyssen, N. Lhermet, R. L. Letty, and P. Bouchilloux, Actuators, transducers and motors based on giant magnetostrictive materials, Journal of Alloys and Compounds, pp.258-61, 1997.
DOI : 10.1016/s0925-8388(97)90493-x

A. H. Cottrell and B. A. Bilby, Dislocation Theory of Yielding and Strain Ageing of Iron, Proceedings of Physic Society, pp.62-111, 1949.
DOI : 10.1088/0370-1298/62/1/308

B. D. Cullity, Introduction to magnetic materials, 1972.
DOI : 10.1002/9780470386323

L. Daniel, Modélisation multi-´ echelle du comportement magnéto-mécanique des matériaux ferromagnétiques texturés, Thèse de doctorat, 2003.

L. Bibliographie, O. Daniel, F. Hubert, R. Ossart, and . Billardon, Experimental analysis and multiscale modelling of the anisotropic mechanical and magnetostrictive behaviours of electrical steels, Journal de Physique IV, pp.105-247, 2003.

L. Daniel, O. Hubert, and R. Billardon, Multiscale modelling of the magnetostrictive behaviour of electrical steels -demagnetising surface effect and texture gradient, International Journal of Applied Electromagnetics and Mechanics, vol.19, pp.1-4, 2004.

L. Daniel, O. Hubert, and R. Billardon, Homogenisation of magneto-elastic behaviour: from the grain to the macro scale, Computational and Applied Mathematics, vol.23, p.285, 2004.

L. Daniel, B. Vieille, and O. Hubert, Multiscale strategy for the determination of magneto-elastic behaviour: Discussion and application to Ni-Zn ferrites, International Journal of Applied Electromagnetics and Mechanics, pp.25-31, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00161183

L. Daniel, O. Hubert, N. Buiron, and R. Billardon, Reversible magneto-elastic behavior: A multiscale approach, Journal of the Mechanics and Physics of Solids, vol.56, issue.3, p.56, 1018.
DOI : 10.1016/j.jmps.2007.06.003

URL : https://hal.archives-ouvertes.fr/hal-00352264

L. Daniel and O. Hubert, An analytical model for the ?E effect in magnetic materials, EPJ-AP, 2008.

J. Degauque, Les pertes d'´ energie dans les ferromagnétiques métalliques doux: origine physique, Mémoires et Etudes Scientifiques de la Revue de Métallurgie, p.5, 1985.

M. Delage, ContributionàContribution`Contributionà l'´ etude du comportement magnétomécanique des tôles fer-siliciumàsilicium`siliciumà grains non orientés, Thèse de doctorat, 1997.

E. and D. Trémolet-de-lacheisserie, Magnetism -Fundamentals, Materials and Applications, 2002.

E. and D. Trémolet-de-lacheisserie, Magnetostriction, Theory and Applications of Magnetoelasticity, 1993.

A. C. Eringen and G. A. Maugin, Electrodynamics of Continua I: Foundations and Solid Media, Journal of Applied Mechanics, vol.58, issue.2, 1990.
DOI : 10.1115/1.2897235

X. Feaugas, On the origin of the tensile flow stress in the stainless steel AISI 316L at 300 K: back stress and effective stress, Acta Materialia, vol.47, issue.13, pp.47-3617, 1999.
DOI : 10.1016/S1359-6454(99)00222-0

F. Fiorillo, C. Appino, C. Beatrice, and F. Garsia, Magnetization process under generically directed field in GO Fe-(3 wt%)Si laminations, Journal of Magnetism and Magnetic Materials, pp.242-245257, 2002.
DOI : 10.1016/s0304-8853(01)01271-9

F. Fiorillo, Characterization and Measurement of Magnetic Materials, 2004.

D. François, A. Pineau, and A. Zaoui, Comportement mécanique des matériaux -Elasticité et plasticité, Hermes, 1991.

N. Galopin, K. Azoum, M. Besbes, L. Daniel, O. Hubert et al., Caract??risation et mod??lisation des d??formations induites par les forces magn??tiques et par la magn??tostriction, Revue internationale de g??nie ??lectrique, vol.9, issue.4-5, pp.9-499, 2006.
DOI : 10.3166/rige.9.499-514

R. Gersdorf, Uniform and non-uniform form effect in magnetostriction, Physica, vol.26, issue.8, pp.26-553, 1960.
DOI : 10.1016/0031-8914(60)90119-1

. Gilormini, The theory of rate sensitive pencil glide application to rolling textures, Acta Metallurgica, vol.37, issue.7, p.2093, 1989.
DOI : 10.1016/0001-6160(89)90095-3

C. Gourdin, Identification et modélisation du comportementélectromagnétoélastiquecomportementélectromagnétoélastique de structures ferromagnétiques, Thèse de doctorat, 1997.

C. Gourdin, L. Hirsinger, and R. Billardon, Finite element implementation of an internal variable magneto-elastic hysteresis model, International Journal of Applied Electromagnetics and Mechanics, p.625, 1998.

C. Gourdin, L. Hirsinger, G. Barbier, and R. Billardon, Experimental identification of the coupling between the anhysteretic magnetic and magnetostrictive behaviours, Journal of Magnetism and Magnetic Materials, vol.177, issue.181, pp.177-181, 1998.
DOI : 10.1016/S0304-8853(97)00676-8

M. Guyot and V. Cagan, The acoustic emission along the hysteresis loop of various ferro and ferrimagnets, Journal of Magnetism and Magnetic Materials, vol.101, issue.1-3, p.256, 1991.
DOI : 10.1016/0304-8853(91)90749-Z

H. Hauser, Energetic model of ferromagnetic hysteresis: Isotropic magnetization, Journal of Applied Physics, vol.11, issue.5, p.2753, 2004.
DOI : 10.1016/j.physb.2003.08.039

F. Hild, B. Raka, M. Baudequin, S. Roux, and F. Cantelaube, Multi-scale displacement field measurements of compressed mineral wool sample by digital image correlation, Applied Optics, pp.41-6815, 2002.

R. Hill, Continuum micro-mechanics of elastoplastic polycrystals, Journal of the Mechanics and Physics of Solids, vol.13, issue.2, p.89, 1965.
DOI : 10.1016/0022-5096(65)90023-2

L. Hirsinger and R. Billardon, Magnetostriction and so-called form effect, Journal of Magnetism and Magnetic Materials, pp.140-2199, 2002.

L. Hirsinger, Etude des déformations magnéto-´ elastiques dans les matériaux ferromagnétiques doux. ApplicationàApplication`Applicationà l'´ etude des déformations d'une structure de machiné electrique, thèse de doctorat, 1994.

C. K. Hou and S. Lee, Effect of rolling strain on the loss separation and permeability of laminations steel, IEEE Transactions on Magnetics, pp.30-212, 1994.

B. Hribernik, Influence of cutting strains on the magnetic anisotropy of fully processed silicon steel, Journal of Magnetism and Magnetic Materials, vol.26, issue.1-3, p.72, 1982.
DOI : 10.1016/0304-8853(82)90119-6

A. Hubert and R. Schäfer, Magnetic domains, 1998.
URL : https://hal.archives-ouvertes.fr/jpa-00214508

O. Hubert and E. Hug, Influence of plastic strain on the non-oriented 3% Silicon-Iron magnetic behaviour. Application to a manufacturing test by punching, Materials Science and Technology, issue.11, p.482, 1995.

O. Hubert, E. Hug, I. Guillot, and M. Clavel, Effect of internal stresses and dislocation features on the magnetic properties of soft ferromagnetic materials, Le Journal de Physique IV, vol.08, issue.PR2, p.515, 1998.
DOI : 10.1051/jp4:19982119

O. Hubert, Influence des contraintes internes et de la structure des dislocations sur les couplages magnéto-mécaniques dans les alliages Fe-3%Sì a grains non orientés, 1998.

O. Hubert, M. Clavel, I. Guillot, and E. Hug, Magnetism and internal stresses : Concept of magneto-plastic anisotropy, Le Journal de Physique IV, vol.09, issue.PR9, p.207, 1999.
DOI : 10.1051/jp4:1999921

O. Hubert, L. Daniel, and R. Billardon, Experimental analysis of the magnetoelastic anisotropy of a non-oriented silicon iron alloy, Journal of Magnetism and Magnetic Materials, vol.254, issue.255, pp.254-255, 2003.
DOI : 10.1016/S0304-8853(02)00850-8

O. Hubert, Experimental analysis of the magnetoelastic anisotropy of a non-oriented silicon iron alloy, proceedings of the 15th Soft Magnetic Materials conference, 2003.
DOI : 10.1016/S0304-8853(02)00850-8

O. Hubert, N. Jendly, and L. Daniel, Modelling of the Influence of Micro-Plasticity on the Magnetic Behaviour of Ferromagnetic Polycrystals through a Multiscale Approach, steel research international, vol.26, issue.5/6, pp.76-440, 2005.
DOI : 10.1002/srin.200506035

URL : https://hal.archives-ouvertes.fr/hal-00112046

O. Hubert, M. Chaabane, J. Jumel, and V. Maurel, A new experimental set-up for the characterisation of magneto-mechanical behaviour of materials submitted to biaxial Stresses. Application to FeCo alloys, pp.81-100, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00112043

O. Hubert, L. Daniel, and R. Billardon, Magneto-elastic multiscale approach for the modelling of multiaxial stress state and plasticity -experimental and numerical aspects, Przeglad Elektrotecniczny, pp.81-82, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00112044

O. Hubert and L. Daniel, Effect of plastic straining on magnetostriction of ferromagnetic polycrystals???experiments and multiscale modeling, Journal of Magnetism and Magnetic Materials, vol.304, issue.2, pp.304-489, 2006.
DOI : 10.1016/j.jmmm.2006.02.132

URL : https://hal.archives-ouvertes.fr/hal-00112033

O. Hubert, Influence of biaxial stresses on the magnetic behaviour of an iron-cobalt sheet -Experiments and modelling, pp.83-70, 2007.

O. Hubert and K. J. Rizzo, Anhysteretic and dynamic piezomagnetic behavior of a low carbon steel, accepté, 2008.
DOI : 10.1016/j.jmmm.2008.04.082

O. Hubert and L. Daniel, Multiscale modeling of the magneto-mechanical behavior of grain-oriented silicon steels, Journal of Magnetism and Magnetic Materials, vol.320, issue.7, pp.320-1412, 2008.
DOI : 10.1016/j.jmmm.2008.01.013

URL : https://hal.archives-ouvertes.fr/hal-00352279

O. Hubert, Experimental identification of the form-effect thanks to a magnetomechanical measurement set-up, International Journal of Applied Electromagnetics and Mechanics, 2008.

E. Hug, Etude des dégradations des propriétés magnétiques d'alliages Fe-3%Si avec les déformations plastiques. ApplicationàApplication`Applicationà la mise en oeuvre des tôles utilisées dans la conception des moteursélectriques moteursélectriques, 1993.

E. Hug, Evolution of the magnetic domain structure of oriented 3% SiFe sheets with plastic strains, Journal of Materials Science, vol.4, issue.2, p.4417, 1995.
DOI : 10.1007/BF00361526

E. Hug, O. Hubert, and M. Clavel, Influence of the plastic anisotropy on the magnetic properties of a nonoriented 3% silicon iron, Journal of Applied Physics, vol.26, issue.8, p.4571, 1996.
DOI : 10.1063/1.361730

E. Hug, O. Hubert, and M. Clavel, Some aspects of the magnetomechanical coupling in the strengthening of non oriented and grain oriented 3% SiFe alloys, IEEE Transactions on Magnetics, issue.1, p.763, 1997.

E. Hug, O. Hubert, and I. Guillot, Effect of strengthening on the magnetic behaviour of ordered intermetallic 2% V???CoFe alloys, Journal of Magnetism and Magnetic Materials, vol.215, issue.216, pp.215-216, 2000.
DOI : 10.1016/S0304-8853(00)00115-3

E. Bibliographie, O. Hug, P. Hubert, and . Van-houtte, Effect of internal stresses on the magnetic properties of non-oriented 3wt .%SiFe and (Fe,Co)-2wt.%V-alloys, Materials Science and Engineering A, pp.322-193, 2002.

V. E. Iordache, Suivi de l'´ etat de contraintes, appliquées et internes, des alliages ferromagnériques doux par mesures de leurs propriétés magnétiques, UTC, 2003.
DOI : 10.1051/mattech:2004015

V. E. Iordache, F. Ossart, and E. Hug, Magnetic characterisation of elastically and plastically tensile strained non-oriented Fe???3.2%Si steel, Journal of Magnetism and Magnetic Materials, vol.254, issue.255, pp.254-255, 2003.
DOI : 10.1016/S0304-8853(02)00748-5

C. Jiles and D. L. Atherton, Theory of ferromagnetic hysteresis, Journal of Magnetism and Magnetic Materials, vol.61, issue.1-2, pp.55-2115, 1984.
DOI : 10.1016/0304-8853(86)90066-1

D. C. Jiles, J. B. Thoelke, and M. K. Devine, Numerical determination of hysteresis parameters for the modeling of magnetic properties using the theory of ferromagnetic hysteresis, IEEE Transactions on Magnetics, vol.28, issue.1, pp.28-55, 1992.
DOI : 10.1109/20.119813

D. C. Jiles, Modelling the effects of eddy current losses on frequency dependent hysteresis in electrically conducting media, IEEE Transactions on Magnetics, vol.30, issue.6, pp.30-4326, 1994.
DOI : 10.1109/20.334076

D. C. Jiles, Introduction to magnetism and magnetic materials, 1995.
DOI : 10.1007/978-1-4615-3868-4

T. L. Johnston, A. S. Tetelman, and A. J. Mcevily-jr, On lattice effects and strength of alloys High strength materials, Chap. 9, proceedings 2nd Berkeley Int. Materials Conf, p.363, 1964.

J. P. Joule, On the effects of magnetism upon the dimensions of iron and steel bars, Philosophical Magazine, pp.30-1847

K. Kashiwaya, Fundamentals of Nondestructive Measurement of Biaxial Stress in Steel Utilizing Magnetoelastic Effect under Low Magnetic Field, Japanese Journal of Applied Physics, vol.30, issue.Part 1, No. 11A, pp.30-2932, 1991.
DOI : 10.1143/JJAP.30.2932

K. Kashiwaya, Magnetoelastic Effect of 3.25%Si-Fe Single Crystal under Low Magnetic Field, Japanese Journal of Applied Physics, vol.31, issue.Part 1, No. 2A, p.237, 1992.
DOI : 10.1143/JJAP.31.237

S. Keh and S. Weissmann, Deformation substructure in Body-centered cubic metals Electron microscopy and strength of crystals, Gareth Thomas, p.231, 1963.

F. Krause and B. D. Cullity, Formation of Uniaxial Magnetic Anisotropy in Nickel by Plastic Deformation, Journal of Applied Physics, vol.6, issue.12, pp.39-5532, 1968.
DOI : 10.1143/JPSJ.12.1259

E. Kröner, Zur plastischen verformung des vielkristalls, Acta Metallurgica, vol.9, issue.2, p.155, 1961.
DOI : 10.1016/0001-6160(61)90060-8

H. Kronmüller, Microstructure and Micromagnetism, AIP Conference Proceedings, p.1006, 1973.
DOI : 10.1063/1.2946732

M. Küpferling, C. Appino, V. Basso, G. Bertotti, F. Fiorillo et al., Magnetic hysteresis in plastically deformed low-carbon steel laminations, Journal of Magnetism and Magnetic Materials, vol.316, issue.2, pp.316-854, 2007.
DOI : 10.1016/j.jmmm.2007.03.120

F. J. Landgraf, M. Emura, K. Ito, and P. S. Carvalho, Effect of plastic deformation on the magnetic properties of non-oriented electrical steels, Journal of Magnetism and Magnetic Materials, vol.215, issue.216, pp.215-216, 2000.
DOI : 10.1016/S0304-8853(00)00075-5

F. J. Landgraf and M. Emura, Losses and permeability improvement by stress relieving fully processed electrical steels with previous small deformations, Journal of Magnetism and Magnetic Materials, vol.242, issue.245, pp.242-245, 2002.
DOI : 10.1016/S0304-8853(01)01184-2

R. A. Langman, Magnetic properties of mild steel under conditions of biaxial stress, IEEE Transactions on Magnetics, vol.26, issue.4, p.1243, 1990.
DOI : 10.1109/20.54015

J. Lemaitre and J. L. Chaboche, Mécanique des matériaux solides, Dunod, 1985.

M. F. Littmann, Iron and silicon-iron alloys, IEEE Transactions on Magnetics, vol.7, issue.1, p.48, 1971.
DOI : 10.1109/TMAG.1971.1066998

G. Loisos and A. J. Moses, Critical evaluation and limitations of localised flux density measurement in electrical steels, IEEE Transactions on Magnetics, pp.37-2755, 2001.

L. Lollioz, S. Pattofatto, and O. Hubert, Application of piezo-magnetism for the measurement of stress during an impact, Journal of Electrical Engineering, vol.57, p.15, 2006.

J. M. Makar and B. K. Tanner, The in situ measurement of the effect of plastic deformation on the magnetic properties of steel -Part I -Hysteresis loops and magnetostriction, Journal of Magnetism and Magnetic Materials, pp.184-193, 1998.

J. M. Makar and B. K. Tanner, The effect of plastic deformation and residual stress on the permeability and magnetostriction of steels, Journal of Magnetism and Magnetic Materials, vol.222, issue.3, pp.222-291, 2000.
DOI : 10.1016/S0304-8853(00)00558-8

G. A. Maugin, Continuum Mechanics of Electromagnetic Solids, Journal of Applied Mechanics, vol.56, issue.4, 1988.
DOI : 10.1115/1.3176205

V. Maurel, F. Ossart, Y. Marco, and R. Billardon, Setup to test biaxial stress effect on magnetomechanic coupling, Journal of Applied Physics, vol.226, issue.10, pp.93-7115, 2003.
DOI : 10.1109/20.54015

K. Matsumura and B. Fukuda, Recent developments of non-oriented electrical steel sheets, IEEE Transactions on Magnetics, vol.20, issue.5, p.1533, 1984.
DOI : 10.1109/TMAG.1984.1063223

K. Mughrabi, X. Herz, and . Stark, The effect of strain-rate on the cyclic deformation properties of ??-iron single crystals, Acta Metallurgica, vol.24, issue.7, pp.24-659, 1976.
DOI : 10.1016/0001-6160(76)90086-9

H. Mughrabi, Dislocation wall and cell structures and long-range internal stresses in deformed metal crystals, Acta Metallurgica, vol.31, issue.9, p.1367, 1983.
DOI : 10.1016/0001-6160(83)90007-X

F. R. Nabarro, Theory of dislocations " ; Dover publications inc, 1967.

P. W. Neurath, Effect of Plastic and Elastic Stresses on the Losses And the Domain Configurations of Grain-Oriented 3 Pet Si-Fe, JOM, vol.26, issue.10, pp.206-1319, 1956.
DOI : 10.1063/1.1722150

F. Ossart, E. Hug, O. Hubert, C. Buvat, and R. Billardon, Effect of punching on electrical steels: Experimental and numerical coupled analysis, IEEE Transactions on Magnetics, vol.36, issue.5, pp.36-3137, 2000.
DOI : 10.1109/20.908712

F. Ossart, O. Hubert, and R. Billardon, A new internal variables scalar hysteresis model respecting the wiping-out property, Journal of Magnetism and Magnetic Materials, vol.254, issue.255, pp.254-255, 2003.
DOI : 10.1016/S0304-8853(02)00796-5

H. Pascard, Matériaux ferrimagnétiques, Cours de l'´ ecole polytechnique, 1998.

K. C. Pitman, The influence of stress on ferromagnetic hysteresis, IEEE Transactions on Magnetics, vol.26, issue.5, p.1978, 1990.
DOI : 10.1109/20.104589

F. Preisach, ???ber die magnetische Nachwirkung, Zeitschrift f???r Physik, vol.94, issue.5-6, p.277, 1935.
DOI : 10.1007/BF01349418

A. H. Qureshi and L. N. Chaudhary, Influence of plastic deformation on coercive field and initial susceptibility of Fe-3,25%Si alloys, Journal of Applied Physics, pp.41-1042, 1970.

L. Sheiko, A. Moroshkin, and S. Gaiduk, The characteristic properties of magnetization processes of 3% Si???Fe sheets in transformer cores, Journal of Magnetism and Magnetic Materials, vol.157, issue.158, pp.157-158, 1996.
DOI : 10.1016/0304-8853(95)00987-6

M. J. Sablik, H. Kwun, G. L. Burkhardt, and D. C. Jiles, Model for the effect of tensile and compressive stress on ferromagnetic hysteresis, Journal of Applied Physics, vol.57, issue.8, pp.61-3799, 1987.
DOI : 10.1109/TMAG.1985.1063901

M. J. Sablik and D. C. Jiles, Coupled magneto-elastic theory of magnetic and magnetostrictive hysteresis, IEEE Transactions on Magnetics, pp.29-2113, 1993.
DOI : 10.1109/20.221036

M. J. Sablik, L. A. Riley, G. L. Burkhardt, H. Kwun, P. Y. Cannell et al., Micromagnetic model for the influence of biaxial stress on hysteretic magnetic properties, Journal of Applied Physics, vol.30, issue.10, pp.75-5673, 1994.
DOI : 10.1063/1.355257

M. J. Sablik, Modeling the effect of grain size and dislocation density on hysteretic magnetic properties in steels, Journal of Applied Physics, vol.46, issue.10, pp.89-5610, 2001.
DOI : 10.1007/BF02833752

M. J. Sablik, T. Yonamine, and F. J. Landgraf, Modeling Plastic Deformation Effects in Steel on Hysteresis Loops With the Same Maximum Flux Density, IEEE Transactions on Magnetics, vol.40, issue.5, pp.40-3219, 2004.
DOI : 10.1109/TMAG.2004.832763

K. H. Schmidt, Influence of punching on the magnetic properties of electric steel with 1% silicon, Journal of Magnetism and Magnetic Materials, issue.2, p.136, 1976.

A. Seeger, H. Kronmüller, H. Rieger, and H. Trauble, Effect of Lattice Defects on the Magnetization Curve of Ferromagnets, Journal of Applied Physics, vol.47, issue.3, pp.35-740, 1964.
DOI : 10.1007/BF01384317

J. G. Sevillano, Flow stress and work hardening " ; dansPlastic deformation and fracture of materials, Materials Science and Technology, vol.6, issue.2, p.19, 1993.
DOI : 10.1002/9783527603978.mst0049

J. W. Shilling and G. L. Houze-jr, Magnetic properties and domain structure in grain-oriented 3% Si-Fe, IEEE Transactions on Magnetics, vol.10, issue.2, pp.10-195, 1974.
DOI : 10.1109/TMAG.1974.1058317

G. H. Shirkoohi and A. J. Moses, Effects of stress on iron loss and apparent power in low silicon non-oriented electrical steel, Anales de Fisica -B, vol.86, p.265, 1990.

B. Szpunar and J. A. Szpunar, Influence of stresses on the hysteresis curve in constructional steel, IEEE Transactions on Magnetics, vol.20, issue.5, p.1882, 1984.
DOI : 10.1109/TMAG.1984.1063245

P. T. Bibliographie, S. N. Squire, H. Hogsdon, and . Hauser, Domain processes in grain-oriented silicon steel studied by means of ?E effect, Journal of Magnetism and Magnetic Materials, pp.157-158, 1996.

S. I. Tiitto, Influence of elastic and plastic strain on the magnetization process in Fe-3,5%Si, IEEE Transactions on Magnetics, pp.12-855, 1976.

M. Ushigami, M. Mizokami, T. Fujikura, H. Kubota, K. Fujii et al., Recent development of low-loss grain-oriented silicon steel, Journal of Magnetism and Magnetic Materials, vol.254, issue.255, pp.254-255, 2003.
DOI : 10.1016/S0304-8853(02)00933-2

L. Vandevelde and J. A. Melkebeek, Modeling of magnetoelastic material, IEEE Transactions on Magnetics, vol.38, issue.2, p.993, 2002.
DOI : 10.1109/20.996255

. Vieille, Modélisation de l'effet des contraintes sur le comportement magnétique des ferrites, Thèse de doctorat, 2007.

G. Vlasák, Z. Kaczkowski, and P. Duhaj, Magnetostriction of the Fe73.5Cu1Ta2Nb1Si13.5B9 alloy, Journal of Magnetism and Magnetic Materials, vol.215, issue.216, pp.215-216, 2000.
DOI : 10.1016/S0304-8853(00)00297-3

B. Weiser, H. Pfützner, and J. Anger, Relevance of magnetostriction and forces for the generation ofaudible noise of transformer cores, IEEE Transactions on Magnetics, pp.36-3759, 2000.

T. Yamasaki, S. Yamamoto, and M. Hirao, Effect of applied stresses on magnetostriction of low carbon steel, NDT & E International, vol.29, issue.5, pp.29-263, 1996.
DOI : 10.1016/S0963-8695(96)00028-X

H. Zhao, Material behaviour characterisation using SHPB techniques, tests and simulations, Computers & Structures, vol.81, issue.12, p.81, 2003.
DOI : 10.1016/S0045-7949(03)00044-0