PSI - Issue 20

Vinokurov G.G. et al. / Procedia Structural Integrity 20 (2019) 265–269 Vinokurov G.G., Popov O.N. / Structural Integrity Procedia 00 (2019) 000 – 000

268

4

a

b

Columns

0

1

2

3

4

5

…

F(h,l))

Strings

p p 2 p 3 p 4 p 5 …

0 1 2 3 4 5

q 0 0 0 0 0 0

p p 2 p 3 p 4 …

q 0 0 0 0

p p 2 p 3 …

q 0 0 0

p p 2 …

q 0 0

q 0

p q

… … …

h

l

… 0

… … 0

…

xx

Fig. 2. Formation of a profile of a rough surface of a covering with initial normal distribution (σ=2, M=10): dependence of di stribution of linear wear on a way of friction (a); an example of an infinite matrix of transitional probabilities of a Markov chain for the powder environment (b).

P

1

C

0,8

B

1 2 3

0,6

A

0,4

0,2

0

125 135 145 155 165 175 h(mkm)

Fig. 3. Areas of the predicted resource of a powder coating: A - an unacceptable resource, B - risk, C – the guaranteed resource; 1 experiment, 2 - the upper bound, 3 – the lower bound of a zone of risk. Modes of tests: loading of 75 kG, frequency of rotation of a shaft of the machine of friction 5 rps, dry friction; averaging on 1000 realizations of a probabilistic and geometrical system. Conclusion Thus, the statistical description of the formation of the macrostructure of wear-resistant coatings and materials, its relationship with the microgeometry of the friction surface makes it possible to scientifically substantiate the technology for their preparation, as well as ensure the prediction of their performance characteristics. This research represented a short review and results of statistical approach application based on the theory of Markov random processes and Monte Carlo methods. So it is possible to use these statistical models to describe the formation of the macrostructure of powder coatings and materials and wear during sliding friction for wide range of materials and extreme environment. Also it is emphasized the advances of the statistical description for the nature and artificial beings as the collective phenomena concerning the powder metallurgy technologies. In the future these models could establish more uniform principles in describing the different technological processes including the melting and fusion welding.