An Embedded Cylindrical PZT with Electroded Imperfect Interface

Recently Shodja and Kamali [

1

], and Kamali and Shodja [

2

], introduced a 3D semi-analytical approach for determination of the electro-mechanical fields of piezoelectric solids with material singular surfaces. The proposed methodology is particularly effective for problems involving external and internal boundaries with complex geometries, which have closed form expressions, and not necessarily in the form of polynomials. The previous formulations are devoted to material singular surfaces with perfect bonding. Due to the promising features of the formulation, the authors have continued to study various capabilities as well as convergence rate and accuracy of the approach. The present work extends the formulation to solids in which the material discontinuity surfaces may have one of the following six conditions: (1) perfect bonding; (2) pure debonding; (3) in-plane pure sliding; (4) out-of-plane pure sliding; (5) full debonding; or (6) partial debonding. Moreover, the interface is electroded in the sense that the interface is subjected to an arbitrary electric potential function, Φ = f(x, y). One of the advantages of the proposed method is that all of the above-mentioned cases are treated in a unified manner.