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Materials Science

, Volume 54, Issue 3, pp 349–353 | Cite as

Conditions for the Jump of Stresses and Displacements on Thin Anisotropic Interlayers and Inclusions in Continuous Media

  • V. P. Sylovanyuk
  • N. А. Ivantyshyn
  • О. N. Kuz’
Article
  • 3 Downloads

For problems of thin anisotropic interlayers, overlays, and inclusions in continuous three-dimensional media, we establish conditions that enable us to represent the action of the indicated heterogeneities by the presence of a surface with certain properties. In particular, in passing through this surface, the components of the vectors of displacements and stresses have discontinuities. In complicated problems of anisotropic heterogeneities in the medium, this enables us to decrease the dimensionality of defects in homogeneous structures, namely, the three-dimensional defects are reduced to two-dimensional defects and two-dimensional defects are reduced to one-dimensional. As a result, the problems are mathematically simplified, which makes it possible to obtain their efficient solutions.

Keywords

thin inclusions anisotropy conjugation conditions inhomogeneous bodies 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • V. P. Sylovanyuk
    • 1
  • N. А. Ivantyshyn
    • 1
  • О. N. Kuz’
    • 2
  1. 1.Karpenko Physicomechanical InstituteUkrainian National Academy of SciencesLvivUkraine
  2. 2.“L’vivs’ka Politekhnika” National UniversityLvivUkraine

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