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Saint-Venant's principle in linear piezoelectricity

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Abstract

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.

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Authors and Affiliations

  1. Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, 24061-0219, Blacksburg, VA, USA

    R. C. Batra

  2. Department of Mechanical Engineering, Aeronautical Engineering and Mechanics, Rensselaer Polytechnic Institute, 12180-3590, Troy, NY, USA

    J. S. Yang

Authors
  1. R. C. Batra
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  2. J. S. Yang
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Batra, R.C., Yang, J.S. Saint-Venant's principle in linear piezoelectricity. J Elasticity 38, 209–218 (1995). https://doi.org/10.1007/BF00042498

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  • DOI: https://doi.org/10.1007/BF00042498

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