Effect of interfacial stresses in an elastic body with a nanoinclusion

Research output

3 Citations (Scopus)

Abstract

The 2-D problem of an infinite elastic solid with a nanoinclusion of a different from circular shape is solved. The interfacial stresses are acting at the interface. Contact of the inclusion with the matrix satisfies the ideal conditions of cohesion. The generalized Laplace –Young law defines conditions at the interface. To solve the problem, Gurtin–Murdoch surface elasticity model, Goursat–Kolosov complex potentials and the boundary perturbation method are used. The problem is reduced to the solution of two independent Riemann–Hilbert’s boundary problems. For the circular inclusion, hypersingular integral equation in an unknown interfacial stress is derived. The algorithm of solving this equation is constructed. The influence of the interfacial stress and the dimension of the circular inclusion on the stress distribution and stress concentration at the interface are analyzed
Original languageEnglish
Article number070036
Pages (from-to)070036-1-- 070036-5
Number of pages5
JournalAIP Conference Proceedings
Volume1959
Publication statusPublished - 2 May 2018

Scopus subject areas

  • Physics and Astronomy(all)
  • Mathematics(all)

Cite this

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title = "Effect of interfacial stresses in an elastic body with a nanoinclusion",
abstract = "The 2-D problem of an infinite elastic solid with a nanoinclusion of a different from circular shape is solved. The interfacial stresses are acting at the interface. Contact of the inclusion with the matrix satisfies the ideal conditions of cohesion. The generalized Laplace –Young law defines conditions at the interface. To solve the problem, Gurtin–Murdoch surface elasticity model, Goursat–Kolosov complex potentials and the boundary perturbation method are used. The problem is reduced to the solution of two independent Riemann–Hilbert’s boundary problems. For the circular inclusion, hypersingular integral equation in an unknown interfacial stress is derived. The algorithm of solving this equation is constructed. The influence of the interfacial stress and the dimension of the circular inclusion on the stress distribution and stress concentration at the interface are analyzed",
author = "A.B. Vakaeva and {Grekov M.A.}",
year = "2018",
month = "5",
day = "2",
language = "English",
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T1 - Effect of interfacial stresses in an elastic body with a nanoinclusion

AU - Vakaeva , A.B.

AU - Grekov M.A., null

PY - 2018/5/2

Y1 - 2018/5/2

N2 - The 2-D problem of an infinite elastic solid with a nanoinclusion of a different from circular shape is solved. The interfacial stresses are acting at the interface. Contact of the inclusion with the matrix satisfies the ideal conditions of cohesion. The generalized Laplace –Young law defines conditions at the interface. To solve the problem, Gurtin–Murdoch surface elasticity model, Goursat–Kolosov complex potentials and the boundary perturbation method are used. The problem is reduced to the solution of two independent Riemann–Hilbert’s boundary problems. For the circular inclusion, hypersingular integral equation in an unknown interfacial stress is derived. The algorithm of solving this equation is constructed. The influence of the interfacial stress and the dimension of the circular inclusion on the stress distribution and stress concentration at the interface are analyzed

AB - The 2-D problem of an infinite elastic solid with a nanoinclusion of a different from circular shape is solved. The interfacial stresses are acting at the interface. Contact of the inclusion with the matrix satisfies the ideal conditions of cohesion. The generalized Laplace –Young law defines conditions at the interface. To solve the problem, Gurtin–Murdoch surface elasticity model, Goursat–Kolosov complex potentials and the boundary perturbation method are used. The problem is reduced to the solution of two independent Riemann–Hilbert’s boundary problems. For the circular inclusion, hypersingular integral equation in an unknown interfacial stress is derived. The algorithm of solving this equation is constructed. The influence of the interfacial stress and the dimension of the circular inclusion on the stress distribution and stress concentration at the interface are analyzed

M3 - Article

VL - 1959

SP - 070036-1-- 070036-5

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

M1 - 070036

ER -