Effect of interface stresses on the elastic deformation of an elastic half-plane containing an elastic inclusion
Effect of interface stresses on the elastic deformation of an elastic half-plane containing an elastic inclusion
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DOI：
10.1016/j.ijsolstr.2009.03.012
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发表时间：
2009-07
影响因子：
3.6
通讯作者：
Reza Avazmohammadi;Fuqian Yang;S. Abbasion
中科院分区：
文献类型：
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作者：
Reza Avazmohammadi;Fuqian Yang;S. Abbasion
研究了界面应力对具有明显弹性特性的圆柱形夹杂的弹性半平面的尺寸相关弹性变形的影响。弹性半平面在无限远处承受单轴载荷或在夹杂物中承受均匀的非剪切本征应变。半平面的直边或无牵引力，或刚性滑移，或静止不动，代表了机械结构的三种实际情况。利用二维Papkovich-Neuber势和面/界面弹性理论，得到了弹性半平面上的弹性场。与经典计算结果相比，当夹杂物半径减小到纳米尺度时，界面应力对半平面应力分布有显著影响。数值结果表明，影响强度取决于表面/界面模量、夹杂物与周围材料的刚度比、半平面边缘的边界条件以及夹杂物与边缘的接近程度。
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.