Stress Singularity Analysis of Axisymmetric Piezoelectric Bonded Structure

Stress singularities at the bond edge of a bimaterial bonded structure with hourglass-shape and straight sides under an axisymmetric deformation are analyzed. The bonded materials are assumed to be transversely isotropic to the axis of deformation. One of the two materials is piezoelectric and the other one is either a dissimilar piezoelectric or a usual elastic material. The analysis assumes perfect bonding and is based on a general solution consisting of three quasi-harmonic functions. The eigenfunction expansion method is used to determine the singularities. The discussions are given for the difference of the stress singularities between the cases where the electro-mechanical coupling effect is considered or not. Moreover, the difference between the axisymmetric deformation and the plane strain deformation are made clear. Finally, the theoretical results are compared with the numerical ones and good agreement between them is demonstrated.