This is the first book devoted to a systematic description of the linear theory of piezoelectric shells and plates theory. The book contains two parts. In the first part, the theories for electroelastic thin-walled elements of arbitrary form with different directions of preliminary polarization are presented in an easy form for practical use. The approximate methods for integrating the equations of piezoelectric shells and plates are developed and applied for solving some engineering problems. In the second part, the theory of piezoelectric shells and plates is substantiated by the asymptotic method. The area of applicability for different kinds of electroelastic shell theories is studied. A new problem concerning the electroelastic phenomena at the edge of a thin-walled element is raised and solved.
The Theory of Piezoelectric Shells and Plates will be valuable to researchers working in the field of electroelasticity as well as to electrical and electronic engineers who use thin-walled piezoelements. It is also be helpful for students and post-graduates specializing in mechanics and for scientists concerning asymptotic methods.
Table of Contents
Statics and Dynamics of Piezoelectric Shells and Plates: Three-Dimensional Equations of Electroelasticity. Equations of the Theory of Piezoceramic Shells. The Method of Partitioning a Static Electroelastic State. Approximate Methods for Computing Free and Forced Vibrations of Electroelastic Shells. Some Dynamic Problems in the Theory of Piezoceramic Plates and Shells. Asymptotic Method as Applied to Electroelastic Shell Theory: Constructing Equations in the Theory of Piezoceramic Shells. The Theory of Electroelastic Boundary Layer. Interaction between the Internal Electroelastic State and the Boundary Layer. Some Problems of Boundary Layers.