THE ELECTRO-ELASTIC FIELDS OF PIEZOELECTRIC MATERIALS WITH AN ELLIPTIC HOLE

Based on the complex potential approach, two-dimensional electromechanical analysis was performed on a transversely isotropic piezoelectric material containing an elliptic hole subjected to remote electromechanical loads. By solving ten-variable linear equations, the analytical solutions were given at both inside and outside the hole, which satisfied the permeable and impermeable electric boundary conditions. Taking PZT-4 ceramic as an exmple, the electric field in the hole was obtained, as well as the distributions of the electromechanical fields on the rim of the elliptic hole and along the axes. It is found that the electromechanical fields are related to the electric boundary conditions, the directions of electromechanical loads and the geometrical shape of the elliptic hole in principle, while the elliptical geometry has no influence on the hoop electric displacement and stress at the major semi-axis subjected to the remote horizontal loads of the tension and electric displacement.