Intro
Preface
Acknowledgements
Contents
List of Tables
1 The Continuum Theory of Piezoelectricity and Piezomagnetism
1.1 Introduction
1.2 Continuum Electromagnetic Theory
1.3 The Theory of Linear Piezoelectric Materials
1.3.1 The Displacement Approach
1.3.2 The Stress Approach
1.4 Variational Principles
1.5 Random Piezoelectric Fields
1.5.1 Basic Considerations
1.5.2 Determination of Mesoscale Properties Using a Homogenization Condition
2 Mathematical Preliminaries
2.1 Piezoelectricity Classes
2.2 A Random Field Approach

3 The Choice of a Basis in the Space VG
3.1 Introduction
3.2 Example: The Piezoelectricity Class [Z1]
3.3 Example: The Piezoelectricity Class [D2]
4 Correlation Structures
4.1 Introduction
4.2 Homogeneous Random Fields
4.3 Conditions for Isotropy
4.4 The Structure of the Orbit Space
4.5 Invariant Subspaces
4.6 Convex Compacta
4.7 The ``Spherical Bessel Functions''
4.8 Correlation Structures
Appendix References
Index