Effect of interface stresses on the elastic deformation of an elastic half-plane containing an elastic inclusion

Reza Avazmohammadi, Fuqian Yang, Saeed Abbasion

Research output: Contribution to journalArticle

25 Scopus citations

Abstract

The effect of the interface stresses is studied upon the size-dependent elastic deformation of an elastic half-plane having a cylindrical inclusion with distinct elastic properties. The elastic half-plane is subjected to either a uniaxial loading at infinity or a uniform non-shear eigenstrain in the inclusion. The straight edge of the half-plane is either traction-free, or rigid-slip, or motionless, which represents three practical situations of mechanical structures. Using two-dimensional Papkovich-Neuber potentials and the theory of surface/interface elasticity, the elastic field in the elastic half-plane is obtained. Comparable with classical result, the new formulation renders the significant effect of the interface stresses on the stress distribution in the half-plane when the radius of the inclusion is reduced to the nanometer scale. Numerical results show that the intensity of the influence depends on the surface/interface moduli, the stiffness ratio of the inclusion to the surrounding material, the boundary condition on the edge of the half-plane and the proximity of the inclusion to the edge.

Original languageEnglish (US)
Pages (from-to)2897-2906
Number of pages10
JournalInternational Journal of Solids and Structures
Volume46
Issue number14-15
DOIs
StatePublished - Jul 2009

Keywords

  • Surface effect on elastic deformation

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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