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
A continuation of the author’s previous book “An Introduction to the Theory of Piezoelectricity” (Springer, New York, 2005) on the three-dimensional theory of piezoelectricity, this volume covers lower dimensional theories for various piezoelectric structures and device applications. The development of two-, one- and zero-dimensional theories for high frequency vibrations of piezoelectric plates, shells, beams, rings curved bars and parallelepipeds is systematically presented. In addition to linear piezoelectricity, certain nonlinear effects are also considered and examples for device applications are provided. The material emphasizes dynamic theories and high frequency motions as well as device applications as there are relatively few books on piezoelectric structures, especially for high frequency theories. The volume is destined to be one of the most systematic and comprehensive books on piezoelectric structures.
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