Abstract
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.
Highlights
With the progress of surface engineering in the past several decades, multilayer coatings are often used in the surface modification of tribo-parts to enhance their tribological performance and service life under extreme service conditions, such as high vacuum, high radiation, high load, and high temperature [1,2,3,4]
Based on the Airy stress function, a two-dimensional elastic field solution in terms of Fourier integral transform (FT) for solids coated with a monolayer was given and the substrate was treated as an elastic body [21]
In order to validate the present method, the maximum shear stress in the subsurface of a half plane of the substrate material subjected to surface mechanical loading obtained by the present method is compared with the exact analytical solution given by McEwen seen in Ref. [36]
Summary
With the progress of surface engineering in the past several decades, multilayer coatings are often used in the surface modification of tribo-parts to enhance their tribological performance and service life under extreme service conditions, such as high vacuum, high radiation, high load, and high temperature [1,2,3,4]. Based on the Airy stress function, a two-dimensional elastic field solution in terms of Fourier integral transform (FT) for solids coated with a monolayer was given and the substrate was treated as an elastic body [21]. In the research involving multilayer coatings, the 2D FRF was deduced by forcing the elasticity moduli and Possion ratios of two adjacent layers to be continue on their interface. Efforts are devoted to developing a 2D semi-analytical method for the mechanical behavior analysis of multilayered solids subjected to surface contact loading in this paper. The 2D elastic field solution of multilayered solids is converted from its 2D FRF by employing a numerical conversion method based on the inverse fast Fourier transform (IFFT). Several specific conclusions are drawn based on the numerical investigation on the mechanical behavior of multilayered solid with various layouts and various layer number of the multilayered system by utilizing the present method
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