Saint-Venant’s principle in static magnetoelasticity

Toupin’s version of Saint-Venant’s principle in linear elasticity is generalized to the case of linear magnetoelasticity. That is, it is shown that, for a straight prismatic bar made a linear magnetoelastic material end loaded by a self-equilibrated system at one end only, the internal energy stored in the portion of the bar which is beyond a distance s from the loaded end decreases exponentially with the distance s.