Dynamic stress around a cylindrical nano-inhomogeneity with an interface in a half-plane under anti-plane shear waves

被引:0
|
作者
Xue-Qian Fang
Le-Le Zhang
Jin-Xi Liu
机构
[1] Shijiazhuang Railway Institute,Department of Engineering Mechanics
[2] Beijing Jiaotong University,Institutes of Engineering Mechanics
来源
Applied Physics A | 2012年 / 106卷
关键词
Incident Wave; Dynamic Stress; Scattered Wave; Interface Effect; Straight Edge;
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学科分类号
摘要
Taking into account the size of the nanostructure, the effect of surface/interface stiffness on the dynamic stress around a cylindrical nano-inhomogeneity embedded in an elastic half-plane subjected to anti-plane shear waves is investigated. The boundary condition at the straight edge of the half-plane is traction free, which is satisfied by the image method. The analytical solutions of displacement fields are expressed by employing a wave function expansion method. The addition theorem for a cylindrical wave function is applied to accomplish the superposition of wave fields in the two half-planes. Analyses show that the effect of the interface properties on the dynamic stress is significantly related to the nano-scale distance between the straight edge and the center of the cylindrical nano-inhomogeneity. The frequency and incident angle of incident waves and the shear modulus ratio of the nano-inhomogeneity to matrix also show different effect on the dynamic stress distribution when the inhomogeneity shrinks to nano-scale. Comparison with the existing results is also given.
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页码:625 / 633
页数:8
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