Journal of Applied Mechanics and Technical Physics

, Volume 58, Issue 6, pp 1123–1129 | Cite as

Solving the Problem of Bending of Multiply Connected Plates with Elastic Inclusions

  • S. A. Kaloerov
  • A. A. Koshkin


This paper describes a method for determining the strain state of a thin anisotropic plate with elastic arbitrarily arranged elliptical inclusions. Complex potentials are used to reduce the problem to determining functions of generalized complex variables, which, in turn, comes down to an overdetermined system of linear algebraic equations, solved by singular expansions. This paper presents the results of numerical calculations that helped establish the influence of rigidity of elastic inclusions, distances between inclusions, and their geometric characteristics on the bending moments occurring in the plate. It is found that the specific properties of distribution of moments near the apexes of linear elastic inclusions, characterized by moment intensity coefficients, occur only in the case of sufficiently rigid and elastic inclusions.


anisotropic plate bending of plates elastic inclusions moment intensity factor complex potentials generalized least squares method 


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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Donetsk National UniversityDonetskUkraine

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