= Isotropic linear magnetostriction vanishes
{title2=$A_{ijk}=b\epsilon_{ijk},\quad\sigma_{ij}=A_{ijk}B_k=0$}
Under proper rotations a third-rank <isotropic tensor> is proportional to the <Levi-Civita symbol>. Its contraction with a field vector is antisymmetric in the two stress indices. A physical symmetric stress therefore vanishes in this linear constitutive model. Under the full orthogonal <group> an ordinary isotropic third-rank <tensor> is already zero; the orientation-sensitive Levi-Civita <tensor> requires the usual pseudotensor distinction.
Back to article page
