Singularity at the Interface Edge of Bonded Transversely Isotropic Piezoelectric Dissimilar Materials. 1st Report. Analysis Method and the Solution for Torsion Problems.

Abstract

The theoretical analysis method of bonded transversely isotropic piezoelectric dissimilar materials is presented. The interface edge with arbitrary bonding angles under torsion is analyzed in this paper. The case of axisymmetric deformation will be dealt with in the 2nd report. The eigenequation determining the stress singular order, and the stress, displacement and electric displacement fields near the interface edge are deduced in details. The results show that the stress singularity order is dependent of geometry shape of the interface edge, and the mechanical properties of bonded materials only, the piezoelectric constants do not influence the singularity under the torsion condition. However, it is very interesting that the electric displacement near the interface edge also behaves singular, and its magnitude can be described by the same intensity factor as that of the stress field. It should be noted that the piezoelectric constants have no effect on the stress or displacement fields, and only related to the magnitude of the electric displacement field under the torsion condition. Moreover, the result also shows that there exists different composite parameter of bonded dissimilar materials under torsion from that for in-plane problems.