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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 6, Pages 146–160
(Mi pmtf1128)
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This article is cited in 10 scientific papers (total in 10 papers)
Piezoeffect in polar materials using moment theory
E. A. Ivanova, Ya. È. Kolpakov Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178, Russia
Abstract:
A method for describing the piezoelectric effect in a polar material is proposed based on the use of a composite particle model with seven degrees of freedom and a nonzero dipole moment. Based on micropolar theory, a system of equations is obtained which differs from the classical theory of piezoelectricity in the presence of additional terms. It is shown that under certain assumptions, the proposed system of equations becomes the classical system but the piezoelectric moduli depend strongly on the spontaneous polarization vector. It is shown that for anisotropic media with different symmetries, the structure of the third-rank piezoelectric tensors obtained using the proposed micropolar theory coincides with the structure of the tensors obtained using classical theory. For the media considered, dispersion relations are given and it is shown that in the proposed theory, unlike classical theory, the piezoelectric moduli are proportional to the spontaneous polarization.
Keywords:
micropolar theory, piezoelectricity, piezoelectric effect, polar materials, spontaneous polarization.
Received: 29.09.2011 Revised: 28.03.2013
Citation:
E. A. Ivanova, Ya. È. Kolpakov, “Piezoeffect in polar materials using moment theory”, Prikl. Mekh. Tekh. Fiz., 54:6 (2013), 146–160; J. Appl. Mech. Tech. Phys., 54:6 (2013), 989–1002
Linking options:
https://www.mathnet.ru/eng/pmtf1128 https://www.mathnet.ru/eng/pmtf/v54/i6/p146
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