Saint-Venant’s principle in linear piezoelectricity. (English) Zbl 0828.73061
Summary: Toupin’s version of Saint-Venant’s principle in linear elasticity is generalized to the case of linear piezoelectricity. That is, it is shown that, for a straight prismatic bar made of a linear piezoelectric material and 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 \(s\).
Keywords:
exponential energy decay; straight prismatic bar; self-equilibrated system; internal energyReferences:
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