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The stress response and onset of yield of rotating FGM hollow shafts

An analytical model is developed to study the stress response and the yielding of rotating functionally graded hollow shafts in the framework of generalized plane strain. The modulus of elasticity and the uniaxial yield limit of the shaft material are assumed to vary radially in nonlinear forms. It is shown that different modes of plasticization may take place. Analytical expressions for the critical values of the material parameters leading to different modes of plastic deformation and the corresponding elastic limit rotation speeds are derived by the use of Tresca's yield criterion.