SAINT-VENANTS PRINCIPLE IN LINEAR PIEZOELECTRICITY

Toupin's version of Saint-Venant's principle in linear elasticity is g eneralized to the case of linear piezoelectricity. That is, it is show n that, for a straight prismatic bar made of a linear piezoelectric ma terial and loaded by a self-equilibrated system at one end only, the i nternal energy stored in the portion of the bar which is beyond a dist ance s from the loaded end decreases exponentially with the distance s .