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A plane contact problem for an elastic orthotropic strip

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Abstract

The contact of a punch with an elastic orthotropic strip is considered. A singular integral equation is derived for the contact pressure. The analytic expression of the associated kernel is unique for all types of orthotropy. An iterative solution method is developed to investigate a thick strip. A direct asymptotic procedure proposed for a thin strip leads to simple explicit formulae. Numerical examples are presented for various values of the relative strip thickness.

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Authors and Affiliations

  1. Department of Mathematics, Anadolu University, Yunus Emre Kampusu, 26470, Eskisehir, Turkey

    B. Erbaş

  2. Department of Mathematics, Dumlupınar University, Kütahya, Turkey

    E. Yusufoğlu

  3. Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK

    J. Kaplunov

Authors
  1. B. Erbaş
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  2. E. Yusufoğlu
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  3. J. Kaplunov
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Correspondence to B. Erbaş.

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Erbaş, B., Yusufoğlu, E. & Kaplunov, J. A plane contact problem for an elastic orthotropic strip. J Eng Math 70, 399–409 (2011). https://doi.org/10.1007/s10665-010-9422-8

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  • DOI: https://doi.org/10.1007/s10665-010-9422-8

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