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Solving the problem of contact equilibrium of a punch and an elastic body

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Abstract

The variational problem of contact equilibrium of a punch and an elastic body is considered. An equivalent formulation of the problem is given in variational inequality form. Existence and uniqueness of the solution is investigated in a particular case. A penalty method is proposed for approximate solution of the problem.

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Authors and Affiliations

  1. Kiev University, Kiev

    S. P. Vodyana & V. M. Goncharenko

Authors
  1. S. P. Vodyana
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  2. V. M. Goncharenko
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Additional information

Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 97–103, 1985.

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Vodyana, S.P., Goncharenko, V.M. Solving the problem of contact equilibrium of a punch and an elastic body. J Math Sci 54, 838–843 (1991). https://doi.org/10.1007/BF01097597

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  • DOI: https://doi.org/10.1007/BF01097597

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