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Effect of interface stresses on the elastic deformation of an elastic half-plane containing an elastic inclusion
Avazmohammadi, R ; Sharif University of Technology | 2009
527
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- Type of Document: Article
- DOI: 10.1016/j.ijsolstr.2009.03.012
- Publisher: 2009
- 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. © 2009 Elsevier Ltd. All rights reserved
- Keywords:
- Surface effect on elastic deformation ; Cylindrical inclusions ; Eigen strains ; Elastic fields ; Elastic inclusions ; Elastic properties ; Half planes ; Interface stress ; Mechanical structures ; Nano-meter scale ; Numerical results ; Stiffness ratios ; Straight edges ; Stress distributions ; Surrounding materials ; Uni-axial loadings ; Elastic deformation ; Stress concentration ; Two dimensional ; Elasticity
- Source: International Journal of Solids and Structures ; Volume 46, Issue 14-15 , 2009 , Pages 2897-2906 ; 00207683 (ISSN)
- URL: https://www.sciencedirect.com/science/article/pii/S0020768309001371