Laurent Daniel - Academia.edu (original) (raw)

Papers by Laurent Daniel

Research paper thumbnail of Reversible magneto-elastic behavior: A multiscale approach

Journal of the Mechanics and Physics of Solids, 2008

Magnetic and mechanical behaviors are strongly coupled. But few models are able to describe magne... more Magnetic and mechanical behaviors are strongly coupled. But few models are able to describe magneto-mechanical coupling effects. We propose a multiscale approach for the modeling of the reversible magneto-elastic behavior of ferromagnetic materials. This approach stands between macroscopic phenomenological modeling and micromagnetic simulations. We detail first the definition of the magneto-elastic behavior of a single crystal, deduced from energetic considerations

Research paper thumbnail of Homogenisation of magneto-elastic behaviour: from the grain to the macro scale

Computational & Applied Mathematics, 2004

The prediction of the reversible evolution of macroscopic magnetostriction strain and magnetisati... more The prediction of the reversible evolution of macroscopic magnetostriction strain and magnetisation in ferromagnetic materials is still an open issue. Progress has been recently made in the description of the magneto-elastic behaviour of single crystals. Herein, we propose to extend this procedure to the prediction of the behaviour of textured soft magnetic polycrystals. This extension implies a magneto-mechanical homogenisation. The model proposed is discussed and the results are compared to experimental data obtained on industrial iron-silicon alloys. Mathematical subject classification: 74F15, 74Q05, 74Q15, 74M05, 78M40.

Research paper thumbnail of Experimental analysis and multiscale modelling of the anisotropic mechanical and magnetostrictive behaviours of electrical steels

Journal de Physique IV (Proceedings), 2003

iron-silicon laminations are commonly used in electrical engineering. Although these materials ar... more iron-silicon laminations are commonly used in electrical engineering. Although these materials are assumed to exhibit a quasi-isotropic behaviour in the sheet plane, some specific coupled properties such as magnetostriction are very sensitive to a weak crystallographic texture. Magnetostriction is the strain mechanism that is induced by a magnetic field. This deformation contributes to the noise emitted by electrical machines. An experimental study of the process-induced anisotropy is presented, for both elastic and magnetostrictive behaviours. A multi-scale approach is then proposed, taking into account two sources of anisotropy: the usual cubic anisotropy at the grain scale, and the heterogeneous orientation of the grains (crystallographic texture) at the macro scale. It is shown that specific surface effects must be taken into account in the description of the anisotropy of industrial iron-silicon laminations.

Research paper thumbnail of Experimental analysis of the magnetoelastic anisotropy of a non-oriented silicon iron alloy

Journal of Magnetism and Magnetic Materials, 2003

This paper deals with experimental measurements of the mechanical, magnetic and magnetostrictive ... more This paper deals with experimental measurements of the mechanical, magnetic and magnetostrictive behaviours of a non-oriented 3%SiFe alloy. The results show that the low crystallographic texture of the material brings important anisotropic effects and that the coupled magnetomechanical properties are much more sensitive than uncoupled ones. r (O. Hubert). 0304-8853/03/$ -see front matter r 2002 Elsevier Science B.V. All rights reserved. PII: S 0 3 0 4 -8 8 5 3 ( 0 2 ) 0 0 8 5 0 -8

Research paper thumbnail of Second Order Moments in Linear Smart Material Composites

IEEE Transactions on Magnetics, 2000

Homogenization is a mean field approach for the determination of the effective properties of hete... more Homogenization is a mean field approach for the determination of the effective properties of heterogeneous materials. It can provide the average fields per phase but also some information about the field distribution such as second order moments. The use of second order moments of fields can notably improve the estimates of the macroscopic behavior in the nonlinear case. This has been studied mainly in the case of uncoupled behavior. We propose to define second order moments in the case of coupled elasto-magneto-electric behavior using homogenization tools. The results are compared to the field fluctuations obtained from a finite element model.

Research paper thumbnail of Multiscale modelling of the effect of plasticity on magnetomechanical behaviour of ferromagnetic polycrystals

A model is proposed for describing the influence of plastic strain on the magneto-mechanical be-h... more A model is proposed for describing the influence of plastic strain on the magneto-mechanical be-haviour of ferromagnetic materials. The modelling consists in the calculation of internal stress field and its intro-duction in a multiscale energy based magnetic model. Good agreement between experimental measurement and modelling of magnetostriction allows a validation of the approach.

Research paper thumbnail of Reversible magneto-elastic behavior: A multiscale approach

Journal of the Mechanics and Physics of Solids, 2008

Magnetic and mechanical behaviors are strongly coupled. But few models are able to describe magne... more Magnetic and mechanical behaviors are strongly coupled. But few models are able to describe magneto-mechanical coupling effects. We propose a multiscale approach for the modeling of the reversible magneto-elastic behavior of ferromagnetic materials. This approach stands between macroscopic phenomenological modeling and micromagnetic simulations. We detail first the definition of the magneto-elastic behavior of a single crystal, deduced from energetic considerations

Research paper thumbnail of Homogenisation of magneto-elastic behaviour: from the grain to the macro scale

Computational & Applied Mathematics, 2004

The prediction of the reversible evolution of macroscopic magnetostriction strain and magnetisati... more The prediction of the reversible evolution of macroscopic magnetostriction strain and magnetisation in ferromagnetic materials is still an open issue. Progress has been recently made in the description of the magneto-elastic behaviour of single crystals. Herein, we propose to extend this procedure to the prediction of the behaviour of textured soft magnetic polycrystals. This extension implies a magneto-mechanical homogenisation. The model proposed is discussed and the results are compared to experimental data obtained on industrial iron-silicon alloys. Mathematical subject classification: 74F15, 74Q05, 74Q15, 74M05, 78M40.

Research paper thumbnail of Experimental analysis and multiscale modelling of the anisotropic mechanical and magnetostrictive behaviours of electrical steels

Journal de Physique IV (Proceedings), 2003

iron-silicon laminations are commonly used in electrical engineering. Although these materials ar... more iron-silicon laminations are commonly used in electrical engineering. Although these materials are assumed to exhibit a quasi-isotropic behaviour in the sheet plane, some specific coupled properties such as magnetostriction are very sensitive to a weak crystallographic texture. Magnetostriction is the strain mechanism that is induced by a magnetic field. This deformation contributes to the noise emitted by electrical machines. An experimental study of the process-induced anisotropy is presented, for both elastic and magnetostrictive behaviours. A multi-scale approach is then proposed, taking into account two sources of anisotropy: the usual cubic anisotropy at the grain scale, and the heterogeneous orientation of the grains (crystallographic texture) at the macro scale. It is shown that specific surface effects must be taken into account in the description of the anisotropy of industrial iron-silicon laminations.

Research paper thumbnail of Experimental analysis of the magnetoelastic anisotropy of a non-oriented silicon iron alloy

Journal of Magnetism and Magnetic Materials, 2003

This paper deals with experimental measurements of the mechanical, magnetic and magnetostrictive ... more This paper deals with experimental measurements of the mechanical, magnetic and magnetostrictive behaviours of a non-oriented 3%SiFe alloy. The results show that the low crystallographic texture of the material brings important anisotropic effects and that the coupled magnetomechanical properties are much more sensitive than uncoupled ones. r (O. Hubert). 0304-8853/03/$ -see front matter r 2002 Elsevier Science B.V. All rights reserved. PII: S 0 3 0 4 -8 8 5 3 ( 0 2 ) 0 0 8 5 0 -8

Research paper thumbnail of Second Order Moments in Linear Smart Material Composites

IEEE Transactions on Magnetics, 2000

Homogenization is a mean field approach for the determination of the effective properties of hete... more Homogenization is a mean field approach for the determination of the effective properties of heterogeneous materials. It can provide the average fields per phase but also some information about the field distribution such as second order moments. The use of second order moments of fields can notably improve the estimates of the macroscopic behavior in the nonlinear case. This has been studied mainly in the case of uncoupled behavior. We propose to define second order moments in the case of coupled elasto-magneto-electric behavior using homogenization tools. The results are compared to the field fluctuations obtained from a finite element model.

Research paper thumbnail of Multiscale modelling of the effect of plasticity on magnetomechanical behaviour of ferromagnetic polycrystals

A model is proposed for describing the influence of plastic strain on the magneto-mechanical be-h... more A model is proposed for describing the influence of plastic strain on the magneto-mechanical be-haviour of ferromagnetic materials. The modelling consists in the calculation of internal stress field and its intro-duction in a multiscale energy based magnetic model. Good agreement between experimental measurement and modelling of magnetostriction allows a validation of the approach.