Abstract
In this chapter it is shown that three dimensional governing- and constitutive equations in transversally inhomogeous piezoelectric media can be diagonalized. A symbolic notation has been introduced which allows to perform the diagonalization simply by inspection. Diagonalized differential equations transform into eigenvalue forms in Fourier domain. Solving for the corresponding eigenpairs, the construction of various Green's functions has been demonstrated by several examples. In addition novel ideas for the calculation of self-actions in the boundary element method have been discussed. The work consists of four sections. Following a brief introduction in the first section, the diagonalization procedure is described in the second section. The presented methodology is a refinement of the author's ideas which were presented in various short courses. The third section on Green's function theory and the calculation of self-actions in the boundary element builds upon the author's lecture notes. The fourth section briefly summarizes our discussion and suggests directions for possible future research.
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