Zelentsov Vladimir B, Lapina Polina A, Mitrin Boris I
Research and Education Center "Materials", Don State Technical University, 344000 Rostov-on-Don, Russia.
Nanomaterials (Basel). 2021 Dec 31;12(1):142. doi: 10.3390/nano12010142.
Multilayered and functionally graded coatings are extensively used for protection against wear of the working surfaces of mechanisms and machines subjected to sliding contact. The paper considers the problem of wear of a strip made of a functionally graded material, taking into account the heating of the sliding contact from friction. Wear is modeled by a moving strip along the surface of a hard abrasive in the form of a half-plane. With the help of the integral Laplace transform with respect to time, the solutions are constructed as convolutions from the law of the introduction of an abrasive into the strip and the original in the form of a contour integral of the inverse Laplace transform. The study of the integrands of contour quadratures in the complex plane allowed determination of the regions of stable solutions to the problem. Unstable solutions of the problem lead to the concept of thermoelastic instability of the contact with friction and formed regions of unstable solutions. The solutions obtained made it possible to determine a formula for the coefficient of functionally graded inhomogeneity of the coating material and to study its effect on the occurrence of thermoelastic instability of the contact taking friction into account, as well as on its main characteristics: temperature, displacement, stress and wear of the functionally graded material of the coating. The effects of the abrasive speed, contact stresses and temperature on wear of the coating with the functionally graded inhomogeneity of the material by the depth were investigated.
多层和功能梯度涂层被广泛用于保护承受滑动接触的机械和机器工作表面免受磨损。本文考虑了功能梯度材料制成的带材的磨损问题，其中考虑了摩擦引起的滑动接触发热。磨损通过一个移动的带材沿着半平面形式的硬磨料表面进行建模。借助关于时间的拉普拉斯积分变换，将解构造为磨料引入带材规律与以拉普拉斯逆变换的围道积分形式的原函数的卷积。对复平面中围道积分的被积函数的研究使得能够确定该问题稳定解的区域。该问题的不稳定解导致了考虑摩擦的接触热弹性不稳定性概念以及不稳定解的形成区域。所获得的解使得能够确定涂层材料功能梯度不均匀性系数的公式，并研究其对考虑摩擦的接触热弹性不稳定性的发生及其主要特征（如涂层功能梯度材料的温度、位移、应力和磨损）的影响。研究了磨料速度、接触应力和温度对具有材料深度功能梯度不均匀性的涂层磨损的影响。
