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1D electro-elastic fields in piezoelectrics excited by intrinsic strains

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Abstract

The electro-elastic fields induced by the transversely 1D distribution of intrinsic strains in an arbitrary infinite piezoelectric plate with metallized surfaces are determined. The results obtained generalize the well-known theory of internal stresses in anisotropic purely elastic plates developed by Indenbom, Sil’vestrova, and Sirotin [1]. The coupled fields found in the piezoelectric are expressed in terms of the 4D formalism and the corresponding generalized planar tensor of electro-elastic moduli. It is shown that the limiting transitions from a piezoelectric plate to an unbounded medium and half-space lead to identical formulas.

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Authors and Affiliations

  1. Shubnikov Institute of Crystallography, Russian Academy of Sciences, Leninskiĭ pr. 59, Moscow, 119333, Russia

    V. I. Alshits

  2. Polish-Japanese Institute of Information Technology, 02-008, Warsaw, Poland

    V. I. Alshits & J. P. Nowacki

  3. Kielce University of Technology, 25-314, Kielce, Poland

    A. Radowicz

Authors
  1. V. I. Alshits
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  2. J. P. Nowacki
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  3. A. Radowicz
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Correspondence to V. I. Alshits.

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Dedicated to the memory of V.L. Indenbom

Original Russian Text © V.I. Alshits, J.P. Nowacki, A. Radowicz, 2009, published in Kristallografiya, 2009, Vol. 54, No. 6, pp. 998–1002.

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Alshits, V.I., Nowacki, J.P. & Radowicz, A. 1D electro-elastic fields in piezoelectrics excited by intrinsic strains. Crystallogr. Rep. 54, 950–953 (2009). https://doi.org/10.1134/S106377450906008X

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  • DOI: https://doi.org/10.1134/S106377450906008X

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