Accession Number : AD0751624

Title :   Nonlinear Electroelastic Equations for Small Fields Superposed on a Bias.

Descriptive Note : Technical rept.,

Corporate Author : RENSSELAER POLYTECHNIC INST TROY N Y MECHANICS DIV

Personal Author(s) : Baumhauer,J. C. ; Tiersten,H. F.

Report Date : OCT 1972

Pagination or Media Count : 55

Abstract : The nonlinear differential equations and boundary conditions in small field variables, for small fields superposed on large static biasing states, are obtained from general rotationally invariant nonlinear electroelastic equations derived previously. The small field equations are directly applicable in the consistent description of parametric effects in high coupling piezoelectric materials in terms of the fundamental material parameters. The application of the equations to homogeneously polarized ferroelectrics reveals that in the linear limit the electroelastic equations are identical with the equations of linear piezoelectricity for the symmetry of the polarized state. The influence of a thickness directed homogeneous biasing electric field on the thickness vibrations of a piezoelectric plate, to second order in the biasing field, has been determined. (Author)

Descriptors :   (*ELASTIC PROPERTIES, *ELECTROSTATICS), CONTINUUM MECHANICS, PIEZOELECTRIC EFFECT, FERROELECTRICITY, ELECTROSTRICTION, ELECTRIC FIELDS, NONLINEAR DIFFERENTIAL EQUATIONS, TENSOR ANALYSIS

Subject Categories : Electricity and Magnetism
      Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE