Two-Dimensional Mechanical Behavior Analysis of Multilayered Solids Subjected to Surface Contact Loading Based on a Semi-Analytical Method
Two-Dimensional Mechanical Behavior Analysis of Multilayered Solids Subjected to Surface Contact Loading Based on a Semi-Analytical Method
复制标题
基于半解析法的表面接触载荷作用下多层固体的二维力学行为分析
DOI：
10.3390/coatings10050429
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发表时间：
2020
期刊：
影响因子：
3.4
通讯作者：
Wang Liqin
中科院分区：
文献类型：
--
作者：
Zhang Jingjing;Wang Tingjian;Zhang Chuanwei;Yin Longcheng;Wu Yue;Zhao Yang;Ma Xinxin;Gu Le;Wang Liqin
本文建立了多层固体在表面接触载荷作用下的力学行为分析的二维半解析方法，这是从力学行为角度实现多层固体摩擦学性能优化的必要条件。首先，通过解析求解根据边界条件和界面连续条件建立的线性方程组，以递推形式推导出多层固体的显式解析频响函数；然后，采用基于快速傅里叶反变换的数值转换方法，将多层固体地下二维弹性场解与相应的频响函数在空间域中进行转换。通过与其它方法解的比较，验证了本文方法的有效性。最后，用该方法对不同结构布局和不同层数的多层涂层进行了应力分析。
In this paper, a two-dimensional semi-analytical method is developed for the mechanical behavior analysis of multilayered solids subjected to surface contact loading, which is indispensable for realizing an optimized tribological performance from the mechanical behavior point of view. Firstly, the explicit analytical frequency response functions of the multilayered solid are derived in a recursive form by analytically solving a system of linear equations established according to the boundary conditions and the interface continuous conditions. Then, the two-dimensional elastic field solution in the subsurface of multilayered solids in the space domain is converted from its corresponding frequency response functions by employing a numerical conversion method based on the inverse fast Fourier transformation. The present method is validated by comparing with the solution given by other methods. Lastly, the stress analysis of multilayered coatings with various structure layouts and various layer number of the multilayers were performed with the present method.