Corrections to “An Extension of the Vector-Play Model to the Case of Magneto-Elastic Loadings”

Abstract

There is an error in the above article [1] when the components of the second order magnetostriction strain tensor ${ { {\boldsymbol {\epsilon }}^{\mu (2)}_{\alpha }}}$ are introduced in Section II-B, just before equation (14). It is stated that, in the case of a uniaxial stress tensor applied parallel to the magnetic field (direction 1), the only non-null component of ${ { {\boldsymbol {\epsilon }}^{\mu (2)}_{\alpha }}}\vphantom {{ { { {\boldsymbol {\epsilon }}^{\mu (2)}_{\alpha }}}}^{k}}$ is ${ {\epsilon ^{\mu (2)}_{\alpha _{11}}}}$ . Although the expression given for ${ {\epsilon ^{\mu (2)}_{\alpha _{11}}}}$ by (14) in [1] is correct, the 11 component is not the only non-null component of ${ { {\boldsymbol {\epsilon }}^{\mu (2)}_{\alpha }}}$ . The general expression of ${ { {\boldsymbol {\epsilon }}^{\mu (2)}_{\alpha }}}\vphantom {{ { { {\boldsymbol {\epsilon }}^{\mu (2)}_{\alpha }}}}^{k}}$ is given by equation (1) below: