Electroelastic Analysis of a Piezoelectric Layer with Electrodes

The electroelastic analysis of a piezoelectric layer with two semi-infinite electrodes is made. The layer surfaces are clamped and a voltage is applied between the layer surfaces and the electrodes. By using the integral equation method, the electroelastic field is derived for the cases of crack-type electrodes and of rigid electrodes, respectively. It indicates that the concentration of electric field an electric displacement occurs near the electrode tips for both cases. However, the stresses are bounded for the former, and possess singularity for the latter. The field intensity factors and energy release rate are obtained in explicit form. The counterpart for a single semi-infinite electrode is given.