Dynamic strength around a coated nanowire with surfaces/interfaces in a half solid |
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Authors: | Xue-Qian Fang Le-Le Zhang Xiang-Lin Liu Jin-Xi Liu |
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Institution: | 1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;2. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China;3. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China |
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Abstract: | In this paper, the multiple scattering of anti-plane shear waves around a coated nanowire with surfaces/interfaces embedded in a half solid is studied, and the dynamic stress at the two surfaces/interfaces is presented. The boundary condition at the edge of the half solid is satisfied by the image method. The analytical solutions of displacements in the two half solids, in the coating layers, and inside the nanowire are expressed by wave function expansion method. The expanded mode coefficients are determined by satisfying the boundary conditions at the two surfaces/interfaces of the coated nanowire and the straight edge of the structure. The addition theorem for cylindrical wave function is employed to accomplish the superposition of displacement fields in the two half solids. Analyses show that the properties of the outer and inner interfaces show different effect on the dynamic stress around the nanowire. The dynamic stress distribution around the nanowire is also significantly related to the interfacial properties at the edge and the position of the nanowire. |
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Keywords: | Half solid Nanowire Interface effect Wave multiple scattering Dynamic stress concentration |
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