We propose a procedure for the investigation of possible loss of stability by a rotating composite flat annular circular disk by the method of small parameter. We deduce a characteristic equation for the critical radius of the plastic zone as the first approximation. The critical angular rotational velocity is numerically found for various parameters of the disk.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 3, pp. 81–94, July–September, 2013.
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Lila, D.M. On the Instability of a Rotating Elastoplastic Composite Flat Annular Disk. J Math Sci 205, 583–601 (2015). https://doi.org/10.1007/s10958-015-2268-x
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DOI: https://doi.org/10.1007/s10958-015-2268-x