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The influence of frictional forces on the interaction between an anisotropic half-plane and an absolutely rigid body with a cavity in its surface

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Abstract

By applying functions of a complex variable we reduce the problem of incomplete mechanical contact with friction between an anisotropic half-plane and a rigid body to solving a singular integral equation of second kind with respect to the height of the gap between the interacting bodies. We give the results of numerical analysis of the geometric contact characteristics of the gap for a particular cavity shape.

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Literature Cited

  1. E. K. Ashkenazi and E. V. Ganov,Anisotropy of Structural Materials. A Handbook [in Russian], Mashinostroenie, Leningrad (1980).

    Google Scholar 

  2. S. M. Belotserkovskii and I. K. Lifanov,Numerical Methods in Singular Integral Equations [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  3. S. G. Lekhnitstkii,Theory of Elasticity of an Anisotropic Elastic Body, Holden-Day, San Francisco (1963).

    Google Scholar 

  4. R. M. Martinyak, “Contact interaction of two half-spaces in the presence of a surface cavity partly filled with an incompressible fluid”,Fiz.-Khim. Mekh. Mater. No. 2, 91–94 (1990).

    Google Scholar 

  5. R. M. Martynyak and A. A. Krishtafovich, “The contact problem for an anisotropic half-plane and a rigid body having an uneven surface”,Prikl. Mekh., No. 7, 74–78 (1994).

    Google Scholar 

  6. I. A. Prusov,Thermoelastic Anisotropic Plates [in Russian], Belarus State University Press, Minsk (1978).

    Google Scholar 

  7. R. M. Shvets' and R. M. Martinyak, “Integral equations of the contact problem of thermoelasticity for rough bodies”,Dop. Akad. Nauk Ukr. RSR, Ser. A, No. 11, 59–63 (1985).

    Google Scholar 

  8. F. Erdogan, G. D. Gupta, and T. S. Cook, “Numerical solution of singular integral equations”,Mechanics of Fracture,1, Chapt. 7, 368–425 (1973).

    MathSciNet  Google Scholar 

  9. P. S. Theocaris, “Numerical solution of singular integral equations: methods”,J. Eng. Mech. Div. Proc. Amer. Soc. Civ. Eng.,107, No. 5, 733–752 (1981).

    MathSciNet  Google Scholar 

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Authors
  1. A. A. Krishtafovich
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Additional information

Translated fromMatematichni Metody i Fiziko-Mekhanichni Polya, Vol. 38, 1995.

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Krishtafovich, A.A. The influence of frictional forces on the interaction between an anisotropic half-plane and an absolutely rigid body with a cavity in its surface. J Math Sci 81, 3084–3089 (1996). https://doi.org/10.1007/BF02362600

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  • DOI: https://doi.org/10.1007/BF02362600

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