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JOURNALS // Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki // Archive

Pis'ma v Zh. Èksper. Teoret. Fiz., 2014 Volume 99, Issue 4, Pages 241–244 (Mi jetpl3666)

This article is cited in 4 papers

CONDENSED MATTER

On the flexoelectric deformations of finite size bodies

A. S. Yurkov

644076 Omsk

Abstract: Exact equations describing flexoelectric deformation in solids, derived previously within the framework of a continuum media theory, are partial differential equations of the fourth order. They are too complex to be used in the cases interesting for applications. In this paper, using the fact of smallness of the elastic moduli of a higher order, simplified equations are proposed. Solution of the exact equations is approximately represented as a sum of two parts: the first part obeys one-dimensional differential equations and exponentially decays near surface, the second — obeys the equations of classical theory of elasticity. The first part can be constructed in an explicit form. For the second part, boundary conditions are obtained. They have a form of the classical boundary conditions for the body under external forces on surface.

Received: 21.01.2014

Language: English

DOI: 10.7868/S0370274X14040080


 English version:
Journal of Experimental and Theoretical Physics Letters, 2014, 99:4, 214–218

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© Steklov Math. Inst. of RAS, 2024