The development of new materials is leading to the production of more speedy rotating discs. The knowledge of elasticeplastic response of rotating discs may be helpful in the manufacture and development of discs. Using two types of material properties including the Elastic Perfectly Plastic (EPP) and RambergeOsgood models, the concepts of failure and limit speed of discs are studied. Different steps of solution consisting of discretization and imaging process are expounded. The effect of different parameters including the cross section profiles and material properties upon the limit speed is investigated. The study includes the analysis of the post failure mechanical behavior of the discs. It is seen that the hardening exponent in the RambergeOsgood equation controls the sensitivity of disc expansion relative to the increase of its rotational speed. For the special case of a disc with uniform thickness, the index of sensitivity is connected to the exponent of the RambergeOsgood equation

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