Figure - available from: Journal of Superconductivity and Novel Magnetism
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An online control by the magnetic method is considered as a nondestructive evaluation approach to detect the variation of the microstructure. The magnetic model used for each phase is based on a magneto-mechanical coupling model, which is characterized, on the one hand, by the influence of applied field on the magnetic susceptibility and magnetostr...
Citations
... These permutation matrices enabled the transformation of the loading to the standard triangle. Later, Wang et al. [208][209][210], in addition to the permutation matrix approach, proposed a revised localization formulation based on Taylor's series expansion which helped in the calculation of true demagnetizing field. A recent formulation by Hubert et al. [211] proposed a multiscale model for materials composed of various phases (like austenite, martensite) by introducing parameters corresponding to various phases and the variants that the phase can develop. ...
An extensive growth in the application of ferromagnetic materials require a firm theoretical understanding of the material behavior to accomplish accurate model prediction. The aim of this review article is to capture the evolutionary journey of the nonlinear magnetoelastic constitutive laws, spanning since the mid-twentieth century. This review discusses the prominent proposed constitutive models based either on physical or phenomenological considerations, by classifying them into two categories, the anhysteretic and the hysteretic, which further incorporates the effect of magnetic field, stress, temperature, and plastic deformation on the ferromagnetic material behavior. The respective advantages and limitations offered by the various classes of proposed approaches in the form of Jiles-Atherton model, Armstrong model, Zheng-Liu model, Preisach model, Stoner-Wohlfarth model, multiscale model, Play model, Plasticity based model, Continuum based model have been summarised. Finally, a holistic outlook is presented portraying the state of the art and avenues for improvement that future research might hold regarding the refinement of the available nonlinear magnetoelastic constitutive laws.
