Electroelastic analysis of a piezoelectric half-plane with finite surface electrodes

In this paper the problem of the electroelastic fields of piezoelectric ceramic in a half-plane with thin collinear surface electrodes is formulated and analyzed. Using the standard analytic continuation method, a mixed boundary value problem in plane is obtained and then reduced to a standard Hilbert problem. The closed form expressions of electroelastic fields are obtained. Some special cases are discussed. The electroelastic filed has singularity with 1/ r at the vicinity of the electrode ends. The numerical examples for two surface electrodes are studied to show the practical distributions of the electroelastic fields graphically.