×

Electroelastic bodies under biasing fields. (English) Zbl 1088.74513

Yang, J. S. (ed.) et al., Mechanics of electromagnetic solids. Papers presented at the fourth international conference om nonlinear mechanics, Shanghai, China, August 13–16, 2002. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7579-0/hbk). Adv. Mech. Math. 3, 17-43 (2003).
Summary: This paper summarizes our recent work on the mechanics of electroelastic bodies under initial or biasing fields. A simple derivation of the equations for incremental fields superposed on finite biasing fields is given based on the variational formulation of nonlinear electroelasticity. A constitutive model for electrostrictive ceramics is proposed. One- and two-dimensional equations for electroelastic beams, plates and shells under biasing fields are derived. Buckling of thin electroelastic structures, plane waves propagating in electrostrictive ceramics, and surface waves in electroelastic bodies under biasing fields are studied. Applications of the incremental field theory to frequency stability analysis of piezoelectric resonators and acoustic wave sensors are discussed. Equations for incremental fields superposed on thermally induced biasing fields are also given and are used in the analysis of a temperature sensor.
For the entire collection see [Zbl 1044.74002].

MSC:

74F15 Electromagnetic effects in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
PDFBibTeX XMLCite