Tensor Interpolation of Tribological Wear in Ionitriding of 316L Steel

Abstract

The research results for polynomial tensor interpolation of tribological wear of austenitic 316L steel are analyzed for the first time in this paper. A tribological study was carried out on the tester T-05, both for samples after the process of glow discharge nitriding and for samples of 316L steel in the initial state [1, 2]. The influence of the nitriding parameters on the weight loss of the samples during the abrasion test and the friction coefficient of the abrasion pair were determined. In this paper the actual results which were obtained so far during the research of tribological wear in an interpolative area were put together with the theoretically determined and experimentally verified real research results for tribological wear in the area beyond the scope of interpolation. It was determined that each of the selected nitriding parameters significantly affects abrasive wear resistance of 316L steel, at the same time, in the nitriding process, as time and temperature increase the resistance to wear abrasion becomes better. The mathematical model for planning of experiments with different glow discharge nitriding processes combined with polynomial interpolation of the obtained research results of many variable functions will enable to choose the nitriding process parameters to obtain the assumed and required property of useful nitrified elements. The developed computer program enables multidimensional interpolation of the research results and is a universal tool which can be used in any research field.

Application of polynomial tensor interpolation for technical tests

“…This is the interpolation condition. The simplest method is interpolation by univariate polynomials, which is a known method in various fields of science including statistics, economics, optimization, control as well as practical problems [1][2][3][4][5]. However, polynomial interpolation in several variables is a rather new topic and quite complex, nevertheless, it is a method which can be applied to interpolate the obtained results of technical processes [4][5][6].…”

“…This method simplifies the pretreatment of a steel surface before the nitriding process. The research results for polynomial tensor interpolation of the tribo-logical wear of austenitic 316L steel were analyzed for the first time in paper [4]. The obtained results of the nitrogen diffusion depth on austenitic steel type 316L according to AISI were interpolated by the polynomial of two variables -temperature and time.…”

“…The samples were located on the cathode, which is the first form, and the samples located on the cathode were additionally covered by an active screen which is the second form. The parameters were assumed for austenitic steels based on the preliminary analysis [4,5].…”