Multiscale Modeling of Magnetostrictive Materials

In-situ strain induced martensitic transformation measurement and consequences for the modeling of medium Mn stainless steels mechanical behavior

“…The bench is the result of a continuous improvement of methods already presented in previous works [32][33][34][35][36]. Reference [12] uses a procedure for measurement of austenite volume fraction similar to the procedure we are presenting in this section.…”

“…Magnetic measurement does not participate in the global equilibrium and martensite fraction rate. The reader can refer to references [34,35] that gather the main tools required for this extension. The thermodynamics developed hereafter do not consider diffusion mechanisms either, arguing that the phase transformation is diffusion-less.…”

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

“…Magneto-elastic approaches have for instance been developed as extensions of Jiles-Atherton [11][12][13][14] or Preisach [15,16] models. Thermodynamic [17][18][19] and multiscale [20][21][22][23][24][25][26][27][28][29] approaches have been specifically developed to describe the combined effects of magnetic field and multiaxial stress on ferromagnetic materials. These multiscale approaches can be simplified [30][31][32][33] and under very strong assumptions, can provide analytical formulas for the description of magneto-elastic couplings [34][35][36].…”