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Mathematical modeling of wear-resistance processes of bodies with coatings

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Abstract

We study a mathematical formulation of problems of contact interaction of coated bodies when the material is worn. We state the physical relations that connect the intensity of wear with the characteristic physical quantities. For the case of a half-plane with a thin elastic coating the problem is reduced to singular integro-differential equations whose solution is obtained in the class of orthogonal polynomials. We give estimates of the influence of the characteristics of the coating and the base on the wear process. One figure, two tables.

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Literature cited

  1. L. A. Galin,Contact Problems of the Theory of Elasticity and Viscoelasticity [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  2. F. D. Gakhov and Yu. I. Cherskii,Equations of Convolution Type [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  3. I. V. Kragel'skii, M. M. Dobychin, and V. M. Kombalov,Foundations of Computations of Friction and Wear [in Russian], Mashinostroenie, Moscow (1977).

    Google Scholar 

  4. B. L. Pelekh,Theory of Shells with Finite Shear Stiffness [in Russian], Naukova Dumka, Kiev (1973).

    Google Scholar 

  5. Ya. S. Podstrigach and Yu. Z. Povstenko,Introduction to the Mechanics of Surface Phenomena in Deformable Solid Bodies [in Russian], Naukova Dumka, Kiev (1985).

    Google Scholar 

  6. Ya. S. Podstrigach and P. R. Shevchuk, “On the influence of surface layers on the diffusion process and the stressed state caused by it in solid bodies,”Fiz.-Khim. Mekh. Mater., No. 5, 573–578 (1967).

    Google Scholar 

  7. G. A. Sirenko,Antifriction Carboplastics [in Russian], Tekhnika, Kiev (1985).

    Google Scholar 

  8. M. M. Khrushchev and M. L. Babichev,Abrasive Wear [in Russian], Nauka, Moscow (1970).

    Google Scholar 

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Authors
  1. B. L. Pelekh
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  2. A. V. Maksimuk
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Additional information

Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 27, 1988, pp. 51–55.

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Pelekh, B.L., Maksimuk, A.V. Mathematical modeling of wear-resistance processes of bodies with coatings. J Math Sci 62, 2543–2547 (1992). https://doi.org/10.1007/BF01099146

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  • DOI: https://doi.org/10.1007/BF01099146

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