To the bases of the nonlinear theory of electroelasticity
DOI:
https://doi.org/10.15407/dopovidi2018.03.043Keywords:
dielectric, electroelasticity, electrostriction, piezoelectric, polarization vector, two-continuum mechanicsAbstract
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.
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