Abstract
Applying the theory of generalized complex potentials and the method of least squares, we solve the problem of the stressed state of a multiconnected anisotropic body under an antiplane strain. The problem is reduced to a system of linear algebraic equations in the unknown constants that occur in the required functions. By numerical studies we exhibit the influence of the elastic and geometric characteristics on the stress distribution and the variation of the stress intensity factors in a cylinder with one or two cracks and in an infinite body with circular cavities and cracks. One figure. Six tables.
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Literature Cited
S. A. Kaloerov, “Two-dimensional problems of the theory of elasticity for multiconnected anisotropic bodies with cracks”, Doctoral Dissertation, Kazan' University (1986).
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S. A. Kaloerov and E. S. Goryanskaya, “The two-dimensional stressed state of a multiconnected anisotropic body with cavities and cracks”,Teoret. Prikl. Mekh., No 25, 45–56 (1995).
S. A. Kaloerov and E. S. Goryanskaya, “The two-dimensional stressed state of an anisotropic body with a finite number of cavities or cracks”, Preprint No. 1350-Uk94.
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Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 25. 1995, pp. 56–62.
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Goryanskaya, E.S., Kaloerov, S.A. Antiplane strain of a multiconnected anisotropic body with longitudinal cavities and plane cracks. J Math Sci 84, 1505–1509 (1997). https://doi.org/10.1007/BF02398810
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DOI: https://doi.org/10.1007/BF02398810