Multiscale Modeling of Magnetic Materials

Daniel, Laurent; Bernard, Laurent; Hubert, Olivier

doi:10.1016/b978-0-12-803581-8.12056-9

Cited by 6 publications

(11 citation statements)

References 15 publications

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“…Once the free energy W α is known for all domain families α, the volume fractions f α of domain families α are introduced as internal variables. These internal variables can be calculated according to an explicit Boltzmann-type relation [21,24,44]:…”

Section: Multiscale Modelling Principlementioning

confidence: 99%

“…

is a complementary term that can be introduced to consider the possible bias in the initial domain configuration, created for instance by residual stresses or shape anisotropy [ 44 ]. This configuration term ( 8 ) was chosen here as the result of the effect of a (fictitious) uniaxial pre-stress

.…”

Section: Multiscale Magneto-elastic Modelmentioning

confidence: 99%

“…For a given single crystal, the free energy

can be evaluated in any direction

. In practice, the icosphere discretisation of a unit sphere can be used [ 23 , 44 ]. Once the free energy

is known for all domain families

, the volume fractions

of domain families

are introduced as internal variables.…”

Section: Multiscale Magneto-elastic Modelmentioning

confidence: 99%

“…Once the free energy

is known for all domain families

, the volume fractions

of domain families

are introduced as internal variables. These internal variables can be calculated according to an explicit Boltzmann-type relation [ 21 , 24 , 44 ]:

where

is a material parameter, proportional to the initial slope

of the unstressed anhysteretic magnetisation curve [ 24 ]:

…”

Section: Multiscale Magneto-elastic Modelmentioning

confidence: 99%

“…In this paper, we assumed that the magnetic field

and the stress

were uniform within the material. Neglecting the fluctuations of magnetic field and stress is a classical simplification to multiscale approaches, which allows a significant reduction in computation time [ 44 ]. A part of grain-to-grain interactions are then ignored.…”

Section: Multiscale Magneto-elastic Modelmentioning

confidence: 99%

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Anhysteretic Magneto-Elastic Behaviour of Terfenol-D: Experiments, Multiscale Modelling and Analytical Formulas

Daniel

Domenjoud

2021

Materials

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Giant magnetostrictive materials such as Terfenol-D and Galfenol are used to design actuators and sensors, converting magnetic input into a mechanical response, or conversely, mechanical input into a magnetic signal. Under standard operating conditions, these materials are subjected to stress. It is therefore important to be able to measure, understand and describe their magneto-mechanical behaviour under stress. In this paper, a comprehensive characterisation of the anhysteretic magneto-mechanical behaviour of Terfenol-D was performed. An energy-based multiscale approach was applied to model this behaviour. Finally, it was shown that the strain behaviour of Terfenol-D can be satisfactorily described using an analytical model derived from the full multiscale approach.

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Section: Multiscale Modelling Principlementioning

confidence: 99%

“…

.…”

Section: Multiscale Magneto-elastic Modelmentioning

confidence: 99%

“…For a given single crystal, the free energy

can be evaluated in any direction

. In practice, the icosphere discretisation of a unit sphere can be used [ 23 , 44 ]. Once the free energy

is known for all domain families

, the volume fractions