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Approximated Analytical Solution of a Problem on Indentation of an Electro-Elastic Half-Space with Inhomogeneous Coating by a Conductive Punch

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Abstract

The paper addresses to the development of the bilateral asymptotic method of solution of contact problems taking into account electro-mechanical fields coupling. Approximated analytical solutions are provided for contact problems on indentation of an electroelastic piezoelectric half-space with inhomogeneous in depth piezoelectric coating by a rigid conductive circular flat, spherical or conical punch.

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References

  1. A. S. Vasiliev, S. S. Volkov, and S. M. Aizikovich, Acta Mech. 227, 263 (2016).

    Article  MathSciNet  Google Scholar 

  2. S. M. Aizikovich and V. M. Aleksandrov, Soviet Phys. Dokl. 27 (9), 765 (1982).

    ADS  Google Scholar 

  3. S. M. Aizikovich, Soviet Phys. Dokl. 35 (7), 689 (1990).

    ADS  MathSciNet  Google Scholar 

  4. S. M. Aizikovich, Soviet Math. Dokl. 44 (1), 252 (1991).

    MathSciNet  Google Scholar 

  5. S. M. Aizikovich and A. S. Vasiliev, J. Appl. Math. Mech. 77 (1), 91 (2013).

    Article  MathSciNet  Google Scholar 

  6. V. M. Aleksandrov and E. V. Kovalenko, Problems in Continuum Mechanics with Mixed Boundary Conditions (Nauka, Moscow, 1986), p. 335.

    Google Scholar 

  7. I. I. Kudish, S. S. Volkov, A. S. Vasiliev, and S. M. Aizikovich, J. Tribology 138 (2016). http://dx.doi.org/. doi 10.1115/1.4030958

  8. W. Q. Chen and H. J. Ding, Acta Mech. Solida Sinica 12, 114 (1999).

    Google Scholar 

  9. A. S. Vasiliev, M. V. Swain, S. M. Aizikovich, and E. V. Sadyrin, Arch. Appl. Mech. 86, 1247 (2016).

    Article  ADS  Google Scholar 

  10. S. S. Volkov, A. N. Litvinenko, S. M. Aizikovich, Y.-C. Wang, and A. S. Vasiliev, Struct. Eng. Mech. 59, 227 (2016).

    Article  Google Scholar 

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Authors and Affiliations

  1. Research Institute of Mechanics, National Research Lobachevsky State University of Nizhny Novgorod, Moscow, Russia

    A. S. Vasiliev & S. S. Volkov

  2. Research and Education Center “Materials,”, Don State Technical University, Rostov-on-Don, Russia

    S. M. Aizikovich

Authors
  1. A. S. Vasiliev
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  2. S. S. Volkov
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  3. S. M. Aizikovich
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Corresponding author

Correspondence to A. S. Vasiliev.

Additional information

Original Russian Text © A.S. Vasiliev, S.S. Volkov, S.M. Aizikovich, 2018, published in Doklady Akademii Nauk, 2018, Vol. 478, No. 1, pp. 34–39.

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Vasiliev, A.S., Volkov, S.S. & Aizikovich, S.M. Approximated Analytical Solution of a Problem on Indentation of an Electro-Elastic Half-Space with Inhomogeneous Coating by a Conductive Punch. Dokl. Phys. 63, 18–22 (2018). https://doi.org/10.1134/S1028335818010020

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  • DOI: https://doi.org/10.1134/S1028335818010020

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