This book is a natural continuation of the author's previous book,
"v4w Introduction to the Theory of Piezoelectricity" (Springer, New
York, 2005), which discusses the three-dimensional theory of
piezoelectricity. Three-dimensional theory presents complicated
mathematical problems due to the anisotropy of piezoelectric crystals
and electromechanical coupling. Very few problems in piezoelectric
devices can be directly analyzed by the three-dimensional theory. To
obtain results useful for device applications, usually numerical methods
have to be used or structural theories have to be developed to simplify
the problems so that theoretical analyses are possible. These two
approaches are both very effective in the modeling and design of
piezoelectric devices.
For piezoelectric devices, dynamic problems are frequently
encountered. This is because many piezoelectric devices are resonant
devices operating at a particular resonant frequency and mode of a
structure. Both surface acoustic waves (SAW) and bulk acoustic waves
(BAW) are used. In the analysis of resonant piezoelectric devices,
usually vibration characteristics like frequency and wave speed are of
primary interest, not the stress and strain for strength and failure
consideration as in traditional structural engineering.