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Article

  • Title

    MODELING THE EFFECT OF STOCHASTIC DEFECTS FORMED IN PRODUCTS DURING MACHINING ON THE LOSS OF THEIR FUNCTIONAL DEPENDENCIES

  • Authors

    Usov Аnatoly Vasyl’ovych
    Kunitsyn M.
    Klymenko D.
    Davydiuk V.

  • Subject

    MACHINE BUILDING

  • Year 2022
    Issue 1(65)
    UDC 621.431.74
    DOI 10.15276/opu.1.65.2022.02
    Pages 16-29
  • Abstract

    The article investigates the influence of hereditary defects formed in the surface layer of products from metals of heterogeneous structure on the quality of surfaces treated with finishing methods. The research is based on an integrated approach based on the results of the deterministic theory of defect development and methods of probability theory. The treated layer of the product is considered as a medium weakened by random defects that do not interact with each other, namely: structural changes, cracks, inclusions, the parameters of which are random variables with known laws of their probability distribution. The causes of structural changes, crack formation on the treated surface product depending on different types of probability distribution of dimensions are investigated: length, depth of defects, and their orientation. From these positions, technological possibilities of their elimination by definition of branch of combinations of the technological parameters providing necessary quality of the processed surfaces are considered. Modeling of thermomechanical processes in the treated surface containing hereditary defects is carried out based on thermoelastic equations with discontinuous boundary conditions in the places of their accumulation. The research used the apparatus of boundary value problems of mathematical physics equations, the method of singular integral equations for solving problems of fracture mechanics, Fourier-Laplace integral transformations for obtaining exact solutions, the method of constructing discontinuous functions. The dependences determining the intensity of stresses in the vertices of hereditary defects are obtained. A method for predicting the nature of crack formation depending on the probability distribution of defects, the values of heat flux entering the surface layer of the processed product has been developed. It is established that the increase in the homogeneity of the material leads to an increase in the value of heat flux, which corresponds to a fixed probability of failure.

  • Keywords surface treatment, failure probability, fracture model, distribution, material defect, crack parameters, heat flux, surface layer, stress intensity
  • Viewed: 45 Dowloaded: 0
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  • References

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    2. Dandekar, C. R., & Shin, Y. C. (2012). Modeling of machining of composite materials: a review. International Journal of Machine tools and manufacture, 57, 102–121. DOI: https://doi.org/10.1016/j.ijmachtools.2012.01.006.

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    17. Guerrini, G., Lerra, F., & Fortunato, A. (2019). The effect of radial infeed on surface integrity in dry generating gear grinding for industrial production of automotive transmission gears. Journal of Manufacturing Processes, 45, 234–241.

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    21. Popov, G. Y. (2002). New Integral Transformations and Their Applications to Some Boundary-Value Problems of Mathematical Physics. Ukrainian Mathematical Journal, 54(12), 1992–2005.

    22. Popov, G. Y. (2001). On Some Integral Transformations and Their Application to the Solution of Boundary-Value Problems in Mathematical Physics. Ukrainian Mathematical Journal, 53(6), 951–964.

    23. Prössdorf, S. (1978). Some Classes of Singular Equations. North-Holland Publishing Company, 417.

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    26. Arone, R. (1989). Probabilistic fracture criterion for brittle body under triaxial load. Engineering fracture mechanics, 32(2), 249–257.

    27. Arone, R. (1977). A statistical strength criterion for low temperature brittle fracture of metals. Engineering fracture mechanics, 9(2), 241–249.

    28. Khoroshun, L. P. (1978). Methods of theory of random functions in problems of macroscopic properties of microinhomogeneous media. Soviet Applied Mechanics, 14(2), 113–124.

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