Elastic-Plastic Deformation of a Thin Rotating Disk of Exponentially Varying Thickness and Inclusion

Transition theory has been used to derive the elastic-plastic and transitional stresses. Results obtained have been discussed numerically and depicted graphically. It has been observed that for disc with exponentially varying thickness (k=2), high angular speed is required for initial yielding at internal surface as compared to the flat disc and exponentially varying thickness for k=4 onwards. Thus we can conclude that flat disc (C=0.75) is on the safer side of the design as it requires high percentage increase in angular speed to become fully plastic as compared to the flat disc with the compressible factors (C=0,0.25,etc.).