Abstract
In order to investigate the effect of the structural layout of multilayered coatings on its mechanical behavior, a three-dimensional elastic field solution is developed for multilayered solids subjected to surface point contact loading, which is converted from the elastic field solution in frequency domain by using a numerical conversion algorithm. The elastic field solution in frequency domain is obtained by numerically solving a group of linear equations involving the unknown constants in the general elastic field solution of layered material that is obtained by using Fourier integral transform technique. The present solution is validated by comparing with the exact analytical solution for uncoated solids and finite element solution for solids coated with 30 layers. Lastly, the effect of structural layout of multilayered coatings is further investigated with present solution. The result shows that the gradient structural layout with elasticity modulus decreasing gradually from the top layer to the substrate, which is preferable to a larger friction coefficient for multilayered solids subjected to surface line contact loading, is preferable for a smaller friction coefficient <0.1 for multilayered solids subjected to surface point contact loading, and the gradient structural layout with elasticity modulus increasing first in the top layers and then decreasing in the bottom layers, which is preferable to a smaller friction coefficient for multilayered solids subjected to surface line contact loading, is preferable for a friction coefficient >0.2.
Highlights
Advanced coating structures, such as multilayered coatings, gradient coatings etc., are employed to improve the tribological performance and service life of tribo-parts because of its advantage of anti-friction, anti-wear, anti-scuffing, and anti-corrosion, especially for those performing under severe conditions [1,2,3]
The 3D elastic field solution in frequency domain for multilayered coatings subjected to surface point contact loading is obtained by numerically solving a group of linear equations involving the unknown constants in the general elastic field solution of layered material that is obtained by using Fourier integral transform technique, and the group of linear equations is established according to the boundary conditions and interface continuous conditions
After the 3D elastic field solution in frequency domain is determined, the elastic field solution in space domain can be obtained with a 2D Inverse Fast Fourier Transform (IFFT)-based numerical conversion algorithm [10,29], which is proposed originally to produce the influence coefficient matrix of stresses and displacements, which is essential to establishing a contact model based on semi-analytical method
Summary
Advanced coating structures, such as multilayered coatings, gradient coatings etc., are employed to improve the tribological performance and service life of tribo-parts because of its advantage of anti-friction, anti-wear, anti-scuffing, and anti-corrosion, especially for those performing under severe conditions [1,2,3]. For 3D problems, the Papkovich-Neuber potential functions are always used to produce the 3D elastic field solution in frequency domain of coated solids by using Fourier integral transform technique for developing various 3D contact model. A 3D elastic field solution has been developed for numerical investigation on the mechanical behavior of multilayered coatings with various structural layout, which is converted from the 3D elastic field solution in frequency domain with a 2D Inverse Fast Fourier Transform (IFFT) based conversion algorithm. The 3D elastic field solution in frequency domain for multilayered coatings subjected to surface point contact loading is obtained by numerically solving a group of linear equations involving the unknown constants in the general elastic field solution of layered material that is obtained by using Fourier integral transform technique, and the group of linear equations is established according to the boundary conditions and interface continuous conditions. The effect of the structural layout of multilayered coatings is further studied with the present solution, and we found that the preferable structural layout of multilayered solids subjected to surface point contact loading for various friction coefficient is different from that of multilayered solids subjected to surface line contact loading
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