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Non-symmetrical plane contact of a wedge indenter

Shahani, A. R ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1243/09544062JMES452
  3. Publisher: 2007
  4. Abstract:
  5. Asymmetric contact problem of an elastic wedge and an elastic half-plane has been considered. Contact pressure distributions as well as the lengths of the contact zones are extracted analytically. The results have been compared with the results of the symmetric problem and also the FE modelling of the problem which show excellent agreement. The method of approach is a completely analytical method based on the singular integral equations. In this method, the boundary conditions of the problem are stated as some singular integrals and distribution of the contact pressure is determined. Then, with the aid of the equilibrium equations and the consistency conditions of the singular integral solution, the lengths of the contact zones are extracted. Finally, using the Muskhelishvili potential function and Legendre polynomials, a new method for calculating stress field has been established. It is shown that application of Legendre polynomials is simpler than Chebyshev polynomials which have been used widely in the previous researches. © IMechE 2007
  6. Keywords:
  7. Boundary conditions ; Finite element method ; Friction ; Integral equations ; Polynomials ; Pressure distribution ; Chebyshev polynomials ; Legendre polynomials ; Non-symmetrical contact ; Singular integral equation ; Wedge indenter ; Interfaces (materials) ; Mathematical models
  8. Source: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science ; Volume 221, Issue 11 , 2007 , Pages 1233-1240 ; 09544062 (ISSN)
  9. URL: https://journals.sagepub.com/doi/abs/10.1243/09544062JMES452