## 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 language | English |
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Pages (from-to) | 2897-2906 |

Number of pages | 10 |

Journal | International Journal of Solids and Structures |

Volume | 46 |

Issue number | 14-15 |

DOIs | |

State | Published - Jul 2009 |

### Bibliographical note

Funding Information:FY is grateful for support from the NSF grant CMS-0508989 and CMMI 0800018. The authors are grateful to the referees for the constructive comments.

## 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