ABSTRACT

Predetermination of creep stresses and strains in annular ceramic discs experiencing high centrifugal forces is of much significance in the theory of structural components. In this chapter, transition theory has been incorporated to obtain these stresses and strains in ceramic discs, which exhibit transversely isotropic macro-structural symmetry and having a bore at the center on which it rotates. Yield criterions from the classical theory have not been assumed for the analysis. The creep transition stresses are obtained by transition theory given by B.R. Seth. The analytic solution is applied on two types of ceramics, that is lead zirconate titanate (PZT-5H) and barium titanate, molded as annular discs. The material constants have been taken from 174available literature. The results of analytic solution are plotted graphically. It is observed that the centrifugal forces increase the magnitude of radial and circumferential stresses at the internal surface of discs. Strains are maximum at internal surface and diminish toward the outer surface. The rise in strains proportional to increasing angular speed infers to the fact that the disc will tend to fracture at the bore adjoining the inclusion when subjected to higher centrifugal forces.