In-plane P-SV waves from a piezoelectric strip actuator: exact versus effective boundary condition solutions
Artikel i vetenskaplig tidskrift, 2005
A piezoelectric strip of finite width and thickness is placed on top of an
isotropic elastic half-space. It operates in actuator mode and a time
harmonic voltage is thus applied across it. The piezoelectric material is
of type $6mm$ oriented so that a 2D inplane (P-SV) problem results.
By Fourier series expansions the problem is solved exactly and this
result is compared to the case when the piezoelectric strip is replaced by
an effective boundary condition, which is derived by series expansions
in the thickness coordinate in the piezoelectric strip. At low frequencies
the results agree very well and this corresponds to the situation often
met in practice. In general, the effective boundary condition should be
much easier to apply, for example when a FEM program is used.