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Stressed state of an anisotropic body with elliptical holes, elastic inclusions, and cracks

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Abstract

A method is proposed for studying the two-dimensional stressed state of a multiply connected anisotropic body with cavities and elastic and rigid inclusions, as well as planar cracks and rigid laminar inclusions. Generalized complex potentials, conformal mapping, and the method of least squares are used. The problem is reduced to solving a system of linear algebraic equations. Formulas are given for finding the stress intensity factors in the case of cracks and laminar inclusions. For an anisotropic plate with a single elliptical hole or a crack and an elastic (rigid) inclusion, some numerical results are presented from a study of the effect of the rigidity of the inclusion and the closeness of the contours to one another on the distribution of stresses and the stress intensity factor.

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References

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Authors and Affiliations

  1. Donetsk State University, Kiev

    S. A. Kaloerov, E. S. Goryanskaya & Y. B. Shapovalova

Authors
  1. S. A. Kaloerov
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  2. E. S. Goryanskaya
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  3. Y. B. Shapovalova
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Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 30, pp. 175–187, 1999.

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Kaloerov, S.A., Goryanskaya, E.S. & Shapovalova, Y.B. Stressed state of an anisotropic body with elliptical holes, elastic inclusions, and cracks. J Math Sci 101, 3708–3717 (2000). https://doi.org/10.1007/BF02674063

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  • DOI: https://doi.org/10.1007/BF02674063

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