Effect of interface stresses on the elastic deformation of an elastic half-plane containing an elastic inclusion |
| |
Authors: | Reza Avazmohammadi Fuqian Yang Saeed Abbasion |
| |
Institution: | 1. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran;2. Department of Chemical and Materials Engineering, University of Kentucky, Lexington, KY 40506, USA;3. Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran;4. Young Researchers Club, Tehran, Iran |
| |
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. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|