Stress field in ceramic material containing threefold symmetry inhomogeneity

Aleksandra B. Vakaeva, Stanislav A. Krasnitckii, Mikhail A. Grekov, Mikhail Yu Gutkin

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The stress concentration and distribution around an inhomogeneity of threefold symmetry in a polycrystalline ceramic matrix is considered. The perturbation method in the theory of plane elasticity is used to solve the problem of a nearly circular inhomogeneity of threefold symmetry under remote loading in the first-order approximation. The solution was specified to the uniaxial tension of convex and concave rounded triangular inhomogeneities. The stress concentration on the interface as well as the stress distribution in both inhomogeneity and matrix along the inhomogeneity symmetry axes are studied and discussed in detail. The numerical results, obtained analytically with the first-order approximate solution, are compared with those of finite-element calculations.

Original languageEnglish
Pages (from-to)9311-9321
Number of pages11
JournalJournal of Materials Science
Early online date7 May 2020
StateE-pub ahead of print - 7 May 2020

Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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