Abstract
Using the generalized complex potential and the method of least squares we solve the problem of the torsion of multiconnected anisotropic cylindrical rods. This problem is reduced to a system of linear algebraic equations in the unknowns that occur in the required function. By numerical studies we show the influence of the elastic and geometric characteristics of the rod on the stress distribution, the potential energy densities, and the variation of the stress intensity factor in an elliptic cylinder with one or two cracks and in an annular cylinder with a radial crack. Six figures. Three tables. Bibliography: 4 titles.
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Literature Cited
S. A. Kaloerov and G. Ya. Brodskaya, “Torsion of multiconnected bodies with cracks”,Teoret. Prikl. Mekh., No. 18, 34–38 (1987).
S. G. Lekhnitskii,Torsion of Anisotropic and Inhomogeneous Rods [in Russian], Moscow (1971).
A. S. Kosmodamianskii,The Stress State of Anisotropic Media with Holes or Cavities [in Russian], Donetsk (1976).
S. A. Kaloerov and E. S. Goryanskaya, “The two-dimensional stress state of a multiconnected anisotropic body with cavities and cracks”,Teoret. Prikl Mekh., No. 25, 45–56 (1995).
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Translated fromTeoreticheskaya i prikladnaya Mekhanika, No. 26, 1996 pp. 36–43.
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Goryanskaya, E.S., Kaloerov, S.A. Torsion of anisotropic cylindrical rods with cavities and planar cracks. J Math Sci 86, 3109–3113 (1997). https://doi.org/10.1007/BF02355706
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DOI: https://doi.org/10.1007/BF02355706