Abstract: Transition theory has been used to derive the elasticplastic
and transitional stresses. Results obtained have been discussed
numerically and depicted graphically. It is observed that the rotating
disk made of incompressible material with inclusion require higher
angular speed to yield at the internal surface as compared to disk
made of compressible material. It is seen that the radial and
circumferential stresses are maximum at the internal surface with and
without edge load (for flat disk). With the increase in thickness
parameter (k = 2, 4), the circumferential stress is maximum at the
external surface while the radial stress is maximum at the internal
surface. From the figures drawn the disk with exponentially varying
thickness (k = 2), high angular speed is required for initial yielding at
internal surface as compared to flat disk and exponentially varying
thickness for k = 4 onwards. It is concluded that the disk made of
isotropic compressible material is on the safer side of the design as
compared to disk made of isotropic incompressible material as it
requires higher percentage increase in an angular speed to become
fully plastic from its initial yielding.