To the bases of the nonlinear theory of electroelasticity

TitleTo the bases of the nonlinear theory of electroelasticity
Publication TypeJournal Article
Year of Publication2018
AuthorsKhoroshun, LP, Levchuk, OI
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2018.03.043
Issue3
SectionMechanics
Pagination43-52
Date Published3/2018
LanguageRussian
Abstract

A new principle is proposed for constructing a nonlinear theory of coupled dynamical processes of electroelasticity. The theory is based on the equations of the two-continuum mechanics of dielectrics as a mixture of positive and negative charges in pairs, which form neutral molecules or elementary cells. The existence of an elastic potential and the linear-quadratic dependence of partial stresses on the difference of displacements of charges is accepted. Based on the definitions of a polarization vector and an associated electric field, the equations of the two-continuum mechanics are transformed into equations of electroelasticity, which describe the piezoelectric and electrostriction effects.

Keywordsdielectric, electroelasticity, electrostriction, piezoelectric, polarization vector, two-continuum mechanics
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