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Integrity Bases for Cubic Nonlinear Magnetostriction by Taurines, Julien; Olive, Marc; Desmorat, Rodrigue; Hubert, Olivier; Kolev, Boris is a scholarly article available to read on EtoBox.

What is Integrity Bases for Cubic Nonlinear Magnetostriction about?

A so-called smart material is a material that is the seat of one or more multiphysical coupling. One of the key points in the development of the constitutive laws of these materials, either at the local or at the global scale, is to formulate a free energy density (or enthalpy) from vectors, tensors, at a given order and for a class of given symmetry, depending on the symmetry classes of the crystal constituting the material or the symmetry of the representative volume element. This article takes as a support of study the stress and magnetization couple ($\sigma$, m) involved in the phenomena of magnetoelastic coupling in a cubic symmetry medium. Several studies indeed show a non-monotonic sensitivity of the magnetic susceptibility and magnetostriction of certain soft magnetic materials under stress. Modeling such a phenomenon requires the introduction of a second order stress term in the Gibbs free energy density. A polynomial formulation in the two variables stress and magnetization is preferred over a tensorial formulation. For a given material symmetry class, this allows to express more easily the free energy density at any bi-degree in $\sigma$ and m (i.e. at any constitutive

Author

Taurines, Julien; Olive, Marc; Desmorat, Rodrigue; Hubert, Olivier; Kolev, Boris

Published

2020

Language

EN