Creep transition in a thin rotating disc with rigid inclusion

Creep stresses and strain rates have been obtained for a thin rotating disc with inclusion using Seth's transition theory. Results have been discussed numerically and depicted graphically. It has been observed that radial stress has maximum value at the internal surface of the rotating disc made of incompressible material as compared to circumferential stress and this value of radial stress further increases with the increase in angular speed. Strain rates have maximum values at the internal surface for compressible material. Rotating disc is likely to fracture by cleavage close to the inclusion at the bore

A

Principal finite strain components

Internal and external radii of the disc

Displacement components

Radial, circumferential and axial directions

Angular velocity of rotation

Kronecker's delta

Density of material

Compressibility factor

Strain rate tensor

Yield stress

Swainger strain components

Poisson's ratio

ρω²b²/E (Speed factor); R=r/b; R₀=a/b

Radial stress component (T_rr/E)

Circumferential stress component (T_θθ/E)