Analytical Investigating of the Pattern of Yielding Initiation for a Rotating Hallow FGM Cylinder

In this paper, the effect of radii ratio and material exponent parameters on the pattern of yielding initiation for a rotating hollow FGM cylinder is analytically investigated. The analysis is based on small deformation theory in plane-strain state and Tresca criterion has been used for yielding investigating. Assuming power-law functions for Young's modulus, density and yield stress, equilibrium equation has been analytically solved. Comparing with homogeneous cylinder and also the special case of zero exponents of density and yield stress, the presented analysis has been validated. Then the effect of radii ratio and exponent parameters on the order of stress components and yielding initiation is investigated. The results show that density and yield stress variation may have considerable effect on yielding of rotating FGM cylinder. To best knowledge of authors, the effect of density and yield stress variation and radii ratio on the yielding initiation pattern of rotating hollow FGM cylinder was not studied in the previously published researches.