Basic Equations

Abstract

This chapter presents a brief summary of the basic theory of linear piezoelectricity based mainly on the IEEE Standard on Piezoelectricity [1] and the classical book on piezoelectricity [2] by H. F. Tiersten who also wrote the theoretical part of [1]. The organization of this chapter is essentially a shortened version of Chapter 2 of An Introduction to the Theory of Piezoelectricity [3]. This chapter uses Cartesian tensor notation, the summation convention for repeated tensor indices, and the convention that a comma followed by an index denotes partial differentiation with respect to the coordinate associated with the index. A superimposed dot represents a time derivative.