Variational formulation of the equations for small fields superposed on finite biasing fields in an electroelastic body

Jiashi Yang

doi:10.1109/tuffc.2004.1324409

Variational formulation of the equations for small fields superposed on finite biasing fields in an electroelastic body

IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control ◽

10.1109/tuffc.2004.1324409 ◽

2004 ◽

Vol 51 (8) ◽

pp. 1030-1034 ◽

Cited By ~ 3

Author(s):

Jiashi Yang

Keyword(s):

Variational Formulation ◽

Biasing Fields ◽

Small Fields

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Equations for small fields superposed on finite biasing fields in a thermoelectroelastic body

IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control ◽

10.1109/tuffc.2003.1182122 ◽

2003 ◽

Vol 50 (2) ◽

pp. 187-192 ◽

Cited By ~ 8

Author(s):

Jiashi Yang

Keyword(s):

Biasing Fields ◽

Small Fields

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Tuning Band Structures of Two-Dimensional Phononic Crystals With Biasing Fields

Journal of Applied Mechanics ◽

10.1115/1.4027915 ◽

2014 ◽

Vol 81 (9) ◽

Cited By ~ 12

Author(s):

Y. Huang ◽

C. L. Zhang ◽

W. Q. Chen

Keyword(s):

Electric Field ◽

Phononic Crystals ◽

Band Gaps ◽

Two Dimensional ◽

Plane Wave Expansion ◽

Band Structures ◽

Biasing Fields ◽

Small Fields ◽

Electric Field Change ◽

Repulsion Effect

The control of band structures of 2D phononic crystals (PCs) composed of piezoelectric inclusions and elastic isotropic matrix with mechanical/electrical biasing fields is theoretically investigated. The theory for small fields superposed on biasing fields and the plane wave expansion (PWE) method is employed to compute the band structures of the PCs under different biasing fields, including the initial shear/normal stress and the initial electric field. We find that the initial shear stress breaks the symmetry of the material. In consequence, the two bands associated with the level repulsion effect are opened near the apparent crosspoint and form a local band gap. On the other hand, the normal initial stress and the biasing electric field change the effective stiffness and shift the positions of band gaps. The observed phenomena show that the biasing fields can be flexibly used to tune the PC devices.

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Mechanics of electroelastic bodies under biasing fields

Applied Mechanics Reviews ◽

10.1115/1.1689411 ◽

2004 ◽

Vol 57 (3) ◽

pp. 173-189 ◽

Cited By ~ 40

Author(s):

Jiashi Yang ◽

Yuantai Hu

Keyword(s):

Small Amplitude ◽

Theoretical Foundation ◽

Future Research ◽

Biasing Fields ◽

Acoustic Wave Sensors ◽

Small Fields ◽

Plates And Shells ◽

Wave Sensors ◽

Structural Theories

This is a review article on the mechanics of small-amplitude motions superposed on finite biasing or initial fields in an electroelastic body. It begins with a summary of the nonlinear theory of electroelasticity, which is the theoretical foundation for the theory of small fields superposed on a bias. This theory, obtained by different approaches, and the development of structural theories for electroelastic beams, plates, and shells under biasing fields are discussed. Applications of these theories for small fields superposed on biasing fields in the buckling of thin electroelastic structures, frequency stability of piezoelectric resonators for time-keeping and telecommunication, acoustic wave sensors based on frequency shifts due to biasing fields, characterization of nonlinear electroelastic materials by propagation of small-amplitude waves in electroelastic bodies under biasing fields, and electrostrictive ceramics which operate under a biasing electric field are reviewed. A summary of some current and possible future research topics in this field is given. The article contains 166 references.

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