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Laurent Daniel

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Professor (CentraleSupelec)

Automotive Mechatronics Chair (Faurecia/CentraleSupelec/Esigelec)

Phone : + 33 1 69 85 16 39

email : laurent.daniel [at]

My research interests at GeePs include the definition of constitutive laws for coupled phenomena and particularly thermo-electro-magneto-mechanical couplings. I am involved in the development of multiscale methods for the prediction of such coupled phenomena. Phenomenological approaches are also considered. In order to identify and validate the models proposed, an experimental platform for smart materials characterisation is developed. As a collaboration with the University of Manchester, I have been involved in the set up and micromechanical analysis of high energy x-ray diffraction experiments on ferroelectric ceramics. Since October 2014, I am Director of the Automotive Mechatronics Chair created by Faurecia, CentraleSupelec and Esigelec to bring innovation in the design, simulation and development of automotive mechatronic systems.

Keywords : Multiphysics - Mechatronics - Constitutive laws for coupled phenomena - Micromechanics - Multiscale methods - Homogenisation - Smart materials - Ferromagnetic materials - Magnetostriction - Ferroelectric materials - piezoeletric ceramics - Magnetoelectric effect - Multiferroics - high energy x-ray and neutron diffraction.

Full list of publications (March 2018)

Curriculum Vitae (March 2016)

PhD thesis (2003)

Habililtation thesis (2011)

Research group : Comportement multiphysique des matériaux (Muphy)



G. Al Achkar, L. Pichon, N. Benjelloun, L. Daniel : A broadband electromagnetic homogenization method for composite materials, IEEE Transactions on Magnetics, 54(3):9400304 (2018).

B. Kaeswurm, V. Segouin, L. Daniel, K.G. Webber : The anhysteretic polarization of ferroelectrics, Journal of Physics D : Applied Physics, 51(7):075305 (2018).

K. Yamazaki, H. Mukaiyama, L. Daniel : Effects of multi-axial mechanical stress on loss characteristics of electrical steel sheets and interior permanent magnet machines, IEEE Transactions on Magnetics, 54(3):1300304 (2018).


U. Aydin, P. Rasilo, F. Martin, D. Singh, L. Daniel, A. Belahcen, R. Kouhia, A. Arkkio : Modelling the effect of multiaxial stress on magnetic hysteresis of electrical steel sheets : a comparison, IEEE Transactions on Magnetics, 53(6):2000904 (2017).

U. Aydin, P. Rasilo, F. Martin, D. Singh, L. Daniel, A. Belahcen, M. Rekik, O. Hubert, R. Kouhia, A. Arkkio : Magneto-mechanical modeling of electrical steel sheets, Journal of Magnetism and Magnetic Materials, 439:82-90 (2017).

L. Daniel : An equivalent strain approach for magneto-elastic couplings, IEEE Transactions on Magnetics, 53(6):2001204 (2017).


A.P.S. Baghel, S. Ram, K. Chwastek, L. Daniel, S.V. Kulkarni : Hysteresis modelling of Grain-Oriented laminations in arbitrary directions taking into account the dynamics of orthogonal domain walls, Journal of Magnetism and Magnetic Materials, 418:14-20 (2016).

N.K. James, T. Comyn, D. Hall, L. Daniel, A. Kleppe, S. Van der Zwaag, W.A. Groen : Analysis of the state of poling of lead zirconate titanate (PZT) particles in a Zn-ionomer composite, Ferroelectrics, 493(1):139-150 (2016).

X. Ren, R. Corcolle, L. Daniel : A 2D Finite Element study on the role of material properties on eddy current losses in Soft Magnetic Composites, The European Physical Journal - Applied Physics, 73:20902 (2016).

X. Ren, R. Corcolle, L. Daniel : A homogenization technique to calculate eddy current losses in soft magnetic composites using a complex magnetic permeability, IEEE Transactions on Magnetics, 52(12):6301609 (2016).

X. Ren, R. Corcolle, L. Daniel : Losses approximation for soft magnetic composites based on a homogenized equivalent conductivity, Advanced Electromagnetics, 5(2):59-64 (2016).

G. Wang, D.A. Hall, T.P. Comyn, L. Daniel, A. Kleppe : Structure and ferroelectric behaviour of Na0.5Bi0.5TiO3-KNbO3 ceramics, Advances in Applied Ceramics: Structural, Functional and Bioceramics115(2):89-95 (2016).


L. Bernard, L. Daniel : Effect of stress on magnetic hysteresis losses in a switched reluctance motor: application to stator and rotor shrinking fitting, IEEE Transactions on Magnetics, 51(9):7002513 (2015).

A. Dahia, E. Berthelot, Y. Le Bihan, L. Daniel : A model-based method for the characterisation of stress in magnetic materials using eddy current non-destructive evaluation, Journal of Physics D : Applied Physics, 48:195002 (2015).

L. Daniel, D.A. Hall, J. Koruza, K.G. Webber, A. King, P.J. Withers : Revisiting the blocking force test on ferroelectric ceramics using high energy x-ray diffraction, Journal of Applied Physics, 117:174104 (2015).

L. Daniel, O. Hubert, M. Rekik : A simplified 3D constitutive law for magneto-mechanical behaviour, IEEE Transactions on Magnetics, 51(3):7300704 (2015).


L. Daniel, D.A. Hall, K.G. Webber, A. King, P.J. Withers : Identification of crystalline elastic anisotropy in PZT ceramics from in-situ blocking stress measurements, Journal of Applied Physics, 115:174102 (2014).

L. Daniel, D.A. Hall, P.J. Withers : A multiscale model for reversible ferroelectric behaviour of polycrystalline ceramics, Mechanics of Materials, 71:85-100 (2014).

L. Daniel, D.A. Hall, P.J. Withers : A multiscale modelling analysis of the contribution of crystalline elastic anisotropy to intergranular stresses in ferroelectric materials, Journal of Physics D : Applied Physics, 47:325303 (2014).

L. Daniel, M. Rekik, O. Hubert : A multiscale model for magneto-elastic behaviour including hysteresis effects, Archive of Applied Mechanics, 84(9):1307-1323 (2014).

V. Préault, R. Corcolle, L. Daniel, L. Pichon : Influence of skin effect on the effective shielding effectiveness of composite materials, Journal of Applied Physics, 115:154904 (2014).

M. Rekik, L. Daniel, O. Hubert : Equivalent stress model for magnetic hysteresis losses under biaxial loading, IEEE Transactions on Magnetics, 50(4):2001604 (2014).

M. Rekik, O. Hubert, L. Daniel : Influence of a multiaxial stress on the reversible and irreversible magnetic behaviour of a 3%Si-Fe alloy, International Journal of Applied Electromagnetics and Mechanics, 44(3-4):301-315 (2014).


A. Bartók, L. Daniel, A. Razek : A multiscale model for thin film AMR sensors, Journal of Magnetism and Magnetic Materials, 326:116-122 (2013).

L. Daniel : An analytical model for the effect of multiaxial stress on the magnetic susceptibility of ferromagnetic materials, IEEE Transactions on Magnetics, 49(5):2037-2040 (2013).

N. Lei, T. Devolder, G. Agnus, P. Aubert, L. Daniel, J.V. Kim, W. Zhao, T. Trypiniotis, R.P. Cowburn, C. Chappert, D. Ravelosona, P. Lecoeur : Strain-controlled magnetic domain wall propagation in hybrid piezoelectric/ferromagnetic structures, Nature communications, 4:1378 (2013).

T.T. Nguyen, X. Mininger, L. Daniel, F. Bouillault : Influence of mechanical boundary conditions on magnetoelectric sensors, IEEE Transactions on Magnetics, 49(5):2009-2012 (2013).

V. Préault, R. Corcolle, L. Daniel, L. Pichon : Effective permittivity of shielding composite materials for microwave frequencies, IEEE Transactions on Electromagnetic Compatibility, 55(6):1178-1186 (2013).

V. Préault, R. Corcolle, L. Daniel, L. Pichon : Shielding effectiveness of composite materials: effect of inclusion shape, IEEE Transactions on Magnetics, 49(5):1941-1944 (2013).


R. Corcolle, V. Préault, L. Daniel : Second order moments in linear smart material composites, IEEE Transactions on Magnetics, 48(2):663-666 (2012).

G. Krebs, L. Daniel : Giant magnetostrictive materials for field weakening: a modeling approach, IEEE Transactions on Magnetics, 48(9):2488-2494 (2012).

T.T. Nguyen, F. Bouillault, X. Mininger, L. Daniel : The role of the out of plane component of E and H in 2D computation of extrinsic magneto-electric problem using E-H formulation, IEEE Transactions on Magnetics, 48(2):555-558 (2012).

T.T. Nguyen, L. Daniel, F. Bouillault, X. Mininger : Modeling of magneto-electric sensor using finite element method, European Journal of Electrical Engineering, 15(2-3):273-287 (2012).


A. Bartók, L. Daniel, A. Razek : Micro-macro modeling of stress-dependent anisotropic magnetoresistance, Journal of Physics D : Applied Physics, 44:135001 (2011).

L. Bernard, X. Mininger, L. Daniel, G. Krebs, F. Bouillault, M. Gabsi : Effect of stress on switched reluctance motors: a magneto-elastic finite-element approach based on multiscale constitutive laws, IEEE Transactions on Magnetics, 47(9):2171-2178 (2011).

O. Hubert, L. Daniel : Energetical and multiscale approaches for the definition of an equivalent stress for magneto-elastic couplings, Journal of Magnetism and Magnetic Materials, 323(13):1766-1781 (2011).

T.T. Nguyen, F. Bouillault, L. Daniel, X. Mininger : Finite element modeling of magnetic field sensors based on nonlinear magnetoelectric effect, Journal of Applied Physics, 109(8):084904 (2011).

T.T. Nguyen, X. Mininger, F. Bouillault, L. Daniel : Finite element harmonic modeling of magnetoelectric effect, IEEE Transactions on Magnetics, 47(5):1142-1145 (2011).


L. Daniel, O. Hubert : Equivalent stress criteria for the effect of stress on magnetic behavior, IEEE Transactions on Magnetics, 46(8):3089-3092 (2010).

O. Hubert, L. Daniel : Measurement and analytical modeling of the ΔE effect in a bulk iron-cobalt alloy, IEEE Transactions on Magnetics, 46(2):401-404 (2010).

K.J. Rizzo, O. Hubert, L. Daniel : Magnetic and magnetostrictive behavior of iron-silicon single crystals under uniaxial stress, IEEE Transactions on Magnetics, 46(2):270-273 (2010).


R. Corcolle, L. Daniel, F. Bouillault : Intraphase fluctuations in heterogeneous magnetic materials, Journal of Applied Physics, 105(12):123913 (2009).

R. Corcolle, L. Daniel, F. Bouillault : Modeling of magnetoelectric composites using homogenization techniques, Sensor Letters, 7:446-450 (2009).

L. Daniel, O. Hubert : An analytical model for the DeltaE effect in magnetic materials, EPJ Applied Physics Journal , 45:31101 (2009).

L. Daniel, O. Hubert : An equivalent stress for the influence of multiaxial stress on the magnetic behavior, Journal of Applied Physics, 105(7):07A313 (2009).

N. Galopin, X. Mininger, F. Bouillault, L. Daniel : Magneto-electric composite structures, European Journal of Electrical Engineering, 12(4):461-474 (2009).

K.J. Rizzo, O. Hubert, L. Daniel : A multiscale model for piezomagnetic behavior, European Journal of Electrical Engineering, 12(4):525-540 (2009).


R. Corcolle, L. Daniel, F. Bouillault : Generic formalism for homogenization of coupled behavior: Application to magnetoelectroelastic behavior, Physical Review B, 78(21):214110 (2008).

R. Corcolle, L. Daniel, F. Bouillault : Optimal Design of Magnetostrictive Composites: An Analytical Approach, IEEE Transactions on Magnetics, 44(1):17-23 (2008).

L. Daniel, N. Galopin : A constitutive law for magnetostrictive materials and its application to Terfenol-D single and polycrystals, EPJ Applied Physics Journal , 42(2):153-159 (2008).

L. Daniel, O. Hubert, N. Buiron, R. Billardon : Reversible magneto-elastic behavior: a multiscale approach, Journal of the Mechanics and Physics of Solids, 56(3):1018-1042 (2008).

N. Galopin, X. Mininger, F. Bouillault, L. Daniel : Finite element modelling of magneto-electric sensors, IEEE Transactions on Magnetics, 44(6):834-837 (2008).

O. Hubert, L. Daniel : Multiscale modeling of the magneto-mechanical behavior of grain-oriented silicon steels, Journal of Magnetism and Magnetic Materials, 320(7):1412-1422 (2008).


L. Daniel, R. Corcolle : A Note on the Effective Magnetic Permeability of Polycrystals, IEEE Transactions on Magnetics, 43(7):3153-3158 (2007).

L. Daniel, O. Hubert, B. Vieille : Multiscale strategy for the determination of magneto-elastic behaviour: Discussion and application to Ni-Zn ferrites, International Journal of Applied Electromagnetics and Mechanics, 25:31-36 (2007).

N. Galopin, L. Daniel, F. Bouillault, M. Besbes : Numerical analysis for the design of a magneto-elastic characterisation device, Przeglad Elektrotechniczny, 83(6):44-47 (2007).


O. Hubert, L. Daniel : Effect of plastic straining on magnetostriction of ferromagnetic polycrystals - experiments and multiscale modelling, Journal of Magnetism and Magnetic Materials, 304(2):489-491 (2006).


O. Hubert, M. Chaabane, J. Jumel, V. Maurel, F. Alves, A. Bensalah, M. Besbes, K. Azoum, L. Daniel, F. Bouillault : A new experimental set-up for the characterisation of magneto-mechanical behaviour of materials submitted to biaxial stresses. Application to FeCo alloys, Przeglad Elektrotechniczny, 81(5):19-23 (2005).

O. Hubert, L. Daniel, R. Billardon : Magneto-elastic multiscale approach for the modelling of multiaxial stress state and plasticity - Experimental and numerical aspects, Przeglad Elektrotechniczny, 81(5):19-23 (2005).

O. Hubert, N. Jendly, L. Daniel : Modelling of the influence of micro-plasticity on the magnetic behaviour of ferromagnetic polycrystals through a multiscale approach, Steel Research International, 76(6):440-447 (2005).


L. Daniel, O. Hubert, R. Billardon : Homogenisation of magneto-elastic behaviour : from the grain to the macro scale, Computational and Applied Mathematics, 23:285-308 (2004).

L. Daniel, O. Hubert, R. Billardon : Magnetic behaviour of electrical steels : demagnetising surface effect and texture gradient, International Journal of Applied Electromagnetics and Mechanics, 1(19):293-297 (2004).


L. Daniel, O. Hubert, F. Ossart, R. Billardon : Experimental analysis and multiscale modelling of the anisotropic mechanical and magnetostrictive behaviours of electrical steels, Journal de Physique IV, 105:247-253 (2003).

O. Hubert, L. Daniel, R. Billardon : Experimental analysis of the magnetoelastic anisotropy of a non-oriented silicon iron alloy, Journal of Magnetism and Magnetic Materials, 254:352-354 (2003).