To the bases of the nonlinear theory of electroelasticity

1Khoroshun, LP, 1Levchuk, OI
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2018, 3:43-52
https://doi.org/10.15407/dopovidi2018.03.043
Section: Mechanics
Language: Russian
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.

Keywords: dielectric, electroelasticity, electrostriction, piezoelectric, polarization vector, two-continuum mechanics
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