Title :
Variational formulation of the equations for small fields superposed on finite biasing fields in an electroelastic body
Author_Institution :
Dept. of Eng. Mech., Nebraska Univ., Lincoln, NE, USA
Abstract :
The equations for small fields superposed on finite biasing fields in an electroelastic body are obtained by an expansion procedure in the variational formulation of a nonlinear electroelastic body. The resulting equations, written with respect to the reference configuration, are the same as those reported earlier except for some algebraic errors that have been corrected in the paper. A variational principle for the incremental fields naturally results from the procedure.
Keywords :
boundary-value problems; deformation; elasticity; piezoelectricity; variational techniques; algebraic errors; deformation; finite biasing fields; nonlinear electroelastic body; variational formulation equation; variational principle; Acoustic materials; Acoustic waves; Error correction; Frequency; Integral equations; Nonlinear equations; Piezoelectric devices; Piezoelectric materials; Piezoelectricity; Tensile stress;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2004.1324409