Stress concentration and distribution at triple junction pores of three-fold symmetry in ceramics

Vakaeva A.B., Krasnitckii S.A., Smirnov A.M., Grekov M.A., Gutkin M.Yu.

Research output

Abstract

The stress concentration and distribution around a triple-junction pore of three-fold symmetry in a polycrystalline ceramic material is considered. The perturbation method in the theory of plane elasticity is used to solve the problem of a nearly circular pore of three-fold symmetry under remote loading in the first approximation. The solution was specified to the uniaxial tension of convex and concave rounded triangular pores. The stress concentration on the pore surface and the stress distribution in vicinity of the pore along its symmetry axes are studied and discussed in detail. The numerical results, issued from the first-order approximation analytical solution, are compared with those of finite-element calculations.
Original languageEnglish
Pages (from-to)63-71
Number of pages9
JournalReviews on Advanced Materials Science
Volume57
Issue number1
Publication statusPublished - 29 Dec 2018

Scopus subject areas

  • Materials Science(all)

Cite this

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title = "Stress concentration and distribution at triple junction pores of three-fold symmetry in ceramics",
abstract = "The stress concentration and distribution around a triple-junction pore of three-fold symmetry in a polycrystalline ceramic material is considered. The perturbation method in the theory of plane elasticity is used to solve the problem of a nearly circular pore of three-fold symmetry under remote loading in the first approximation. The solution was specified to the uniaxial tension of convex and concave rounded triangular pores. The stress concentration on the pore surface and the stress distribution in vicinity of the pore along its symmetry axes are studied and discussed in detail. The numerical results, issued from the first-order approximation analytical solution, are compared with those of finite-element calculations.",
author = "{Vakaeva A.B.} and {Krasnitckii S.A.} and {Smirnov A.M.} and {Grekov M.A.} and {Gutkin M.Yu.}",
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month = "12",
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language = "English",
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Stress concentration and distribution at triple junction pores of three-fold symmetry in ceramics. / Vakaeva A.B.; Krasnitckii S.A.; Smirnov A.M., ; Grekov M.A.; Gutkin M.Yu.

In: Reviews on Advanced Materials Science, Vol. 57, No. 1, 29.12.2018, p. 63-71.

Research output

TY - JOUR

T1 - Stress concentration and distribution at triple junction pores of three-fold symmetry in ceramics

AU - Vakaeva A.B., null

AU - Krasnitckii S.A., null

AU - Smirnov A.M.,

AU - Grekov M.A., null

AU - Gutkin M.Yu.,

PY - 2018/12/29

Y1 - 2018/12/29

N2 - The stress concentration and distribution around a triple-junction pore of three-fold symmetry in a polycrystalline ceramic material is considered. The perturbation method in the theory of plane elasticity is used to solve the problem of a nearly circular pore of three-fold symmetry under remote loading in the first approximation. The solution was specified to the uniaxial tension of convex and concave rounded triangular pores. The stress concentration on the pore surface and the stress distribution in vicinity of the pore along its symmetry axes are studied and discussed in detail. The numerical results, issued from the first-order approximation analytical solution, are compared with those of finite-element calculations.

AB - The stress concentration and distribution around a triple-junction pore of three-fold symmetry in a polycrystalline ceramic material is considered. The perturbation method in the theory of plane elasticity is used to solve the problem of a nearly circular pore of three-fold symmetry under remote loading in the first approximation. The solution was specified to the uniaxial tension of convex and concave rounded triangular pores. The stress concentration on the pore surface and the stress distribution in vicinity of the pore along its symmetry axes are studied and discussed in detail. The numerical results, issued from the first-order approximation analytical solution, are compared with those of finite-element calculations.

M3 - Article

VL - 57

SP - 63

EP - 71

JO - Reviews on Advanced Materials Science

JF - Reviews on Advanced Materials Science

SN - 1606-5131

IS - 1

ER -