We determine the stressed state of a finite cylinder containing an outer circular crack in the process of torsional oscillations. The oscillations are caused by the action of a harmonic torsional moment upon a rigid circular plate attached to one end of the cylinder. The problem is reduced to a Fredholm integral equation of the second kind for the unknown stresses in the plane of the crack.
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol.47, No.6, pp.30–38, November–December, 2011.
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Popov, V.H. Torsional oscillations of a finite elastic cylinder containing an outer circular crack. Mater Sci 47, 746–756 (2012). https://doi.org/10.1007/s11003-012-9452-7
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DOI: https://doi.org/10.1007/s11003-012-9452-7