Abstract:
The dynamic behavior of thin-wall members manufactured from materials with the pyroelectric effect was studied. A variational formulation of the problem is used, and a variational principle is formulated that differs from the well-known one. Correct boundary-value problems describing the tension, compression, and bending of a thin-wall pyroelectric member are constructed using the variational principle and a number of hypotheses on the distribution of the components of physical fields along the width of the member.
Citation:
A. O. Vatulyan, V. V. Kovaleva, “Variational principle of thermoelectroelasticity and its application to the problem of vibrations of a thin-wall member”, Prikl. Mekh. Tekh. Fiz., 43:1 (2002), 196–201; J. Appl. Mech. Tech. Phys., 43:1 (2002), 162–167
\Bibitem{VatKov02}
\by A.~O.~Vatulyan, V.~V.~Kovaleva
\paper Variational principle of thermoelectroelasticity and its application to the problem of vibrations of a thin-wall member
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2002
\vol 43
\issue 1
\pages 196--201
\mathnet{http://mi.mathnet.ru/pmtf2597}
\elib{https://elibrary.ru/item.asp?id=17274637}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2002
\vol 43
\issue 1
\pages 162--167
\crossref{https://doi.org/10.1023/A:1013990901649}
Linking options:
https://www.mathnet.ru/eng/pmtf2597
https://www.mathnet.ru/eng/pmtf/v43/i1/p196
This publication is cited in the following 1 articles:
Gülay Altay, M. Cengiz Dökmeci, “Variational Principles for Piezoelectric, Thermopiezoelectric, and Hygrothermopiezoelectric Continua Revisited”, Mechanics of Advanced Materials and Structures, 14:7 (2007), 549