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Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave

机译:平面压缩波作用下界面不完美的包覆光纤的表面效应

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With the rapid development of nanotechnology, nano-components and nano-materials will be widely concerned and applied. At the nano-scale, due to the obvious increase the ratio of surface area to the volume effect and surface effect of nano-components and nano-materials are significant, making their mechanical properties significantly different from the material properties under the macroscopic conditions. And in the practical cases, the interface is not always perfect and smooth, they always have a certain form of defects. Therefore, the wave function expansion method is used in the analytical solutions of dynamic stress concentration factor (DSCF) around a coated fiber with an imperfect interface at nano-scale. The stress boundary conditions on the interface are obtained by using the generalized Young-Laplace equation and the imperfect displacement boundary conditions on the interface are modeled by a spring model. Considering the effects of surface and spring model, the influence of spring stiffness, the number of incident wave and the surface effects on the DSCF are analyzed. The results show that the frequency of incident wave, the spring stiffness and the surface energy have significant effects on the dynamic stress concentration distributions of the nano-sized coated fiber. The smaller the spring coefficient is, the stronger the interface imperfection is, and the stronger the stress concentration at the boundary is. When the spring coefficient reaches a certain value, it is almost close to the dynamic stress value under the ideal interface. The DSCF are obviously different under different incident wave frequencies.
机译:随着纳米技术的飞速发展,纳米组分和纳米材料将受到广泛关注和应用。在纳米尺度上,由于表面积与体积效应之比的显着增加,纳米组分和纳米材料的表面效应显着,使得它们的机械性能与宏观条件下的材料性能显着不同。而且在实际情况下,界面并不总是完美和流畅的,它们总是具有某种形式的缺陷。因此,波函数展开法用于纳米尺度下界面不完善的涂层纤维周围的动态应力集中因子(DSCF)的解析解。通过使用广义的Young-Laplace方程获得界面上的应力边界条件,并通过弹簧模型对界面上的不完美位移边界条件进行建模。考虑到表面和弹簧模型的影响,分析了弹簧刚度,入射波数和表面效应对DSCF的影响。结果表明,入射波的频率,弹簧刚度和表面能对纳米包覆纤维的动态应力集中分布有显着影响。弹簧系数越小,界面缺陷越强,边界处的应力集中越强。当弹簧系数达到一定值时,它几乎接近理想界面下的动应力值。在不同的入射波频率下,DSCF明显不同。

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