Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals

Constitutive modelling of magnetic shape memory alloys with discrete and continuous symmetries

“…Because the crystal structure and space group of NiMnCoIn resembles Cu 2 MnAl Heusler alloy, we consider that the ferromagnetic austenitic phase belongs to 3m magnetic point group. The irreducible representation for 3m can be found in [40]. The threefold rotations are along the z-axis which is perpendicular to the plane of the paper and obey the right-hand rule.…”

“…The x-and y-axes are parallel to the longer side with length a. The irreducible representation can be obtained from [40]. Co-Ni-Al, for example, is another material system of MSMAs that also belongs to the 4/mmm class [44].…”

Anisotropic polynomial constitutive equations for electroelastic crystals

“…The paper is organized as follows: the second section recall the general lines of the nonlinear electromagnetic deformable bodies (as presented in [8]). This formulation evidences that constitutive relations are completely specified by a free energy function Ψ, whose derivatives provide constitutive relations compatible with the Clausius-Duhem inequality.…”

“…For sake of completeness, the general lines of the nonlinear electromagnetic theory are recalled following [8], [14]. Neglecting the jump conditions, the field equations are:…”

“…In the classical treatment [8], a canonical decomposition of the nonsymmetrical stress tensor t kl provides the symmetrical tensor E t kl , viz.…”