Abstract
By the method of singular integral equations, we solve the axially symmetric problem of torsion for an elastic space containing a smooth cavity. We obtain the stress distributions and their maximum values at the edges of cavities of various shapes. We also compute the stress concentration factors on the surfaces of axially symmetric cavities in the entire range of values of the radii of rounding of their tips under the conditions of torsion of the elastic body. The numerical results are obtained for cavities of different configurations.
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