https://doi.org/10.1051/epjconf/202124804010
Reliability Calculation for a Multilayered Coating Based on a Model with Independently (Sequentially) Degrading Layers
1
Moscow State Technological University “STANKIN”, RU-127055, Moscow, Russia
2
Belarusian State University, BL-220030, Minsk, Belarus.
3
IDTI RAS, Moscow, Russia.
* Corresponding author: dr.a.veres@yandex.ru
Published online: 26 April 2021
The paper proposes methods to predict the reliability of a multilayered coating based on a model with independently (sequentially) degrading layers. For the mathematical description of the process of crack penetration into the depth of a layered solid body from the free surface with certain roughness, the propagation of a crack tip into a layer adjacent to the free boundary of the coating is considered. This stochastic process is described through the specification of all multipoint probability distributions (densities), and it represents a Markov process. A mathematical model, described by equations of the parabolic type, is proposed to describe the above-mentioned process. Based on the above model, graphs are constructed to describe the change in the time of the crack propagation through a layer depending on the surface roughness and the ultimate strength (ductility) of the coating. The crack growth rate will be in the range from 10-6 mm/s (when the surface roughness is low) to 10-4 mm/s (when the surface roughness is high).
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
