Extending the BEM for Elastic Contact Problems Beyond the Half-Space Approach

Jing Zhao*, Edwin Vollebregt, Kees Oosterlee

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)
64 Downloads (Pure)


The boundary element method (BEM) is widely used in fast numerical solvers for concentrated elastic contact problems arising from the wheel-rail contact in the railway industry. In this paper we extend the range of applicability of BEM by computing the influence coefficients (ICs) numerically. These ICs represent the Green's function of the problem, i.e. the surface deformation due to unit loads. They are not analytically available when the half-space is invalid, for instance in conformal contact. An elastic model is proposed to compute these ICs numerically, by the finite element method (FEM). We present a detailed investigation to find proper strategies of FEM meshing and element types, considering accuracy and computational cost. Moreover, the effects of computed ICs to contact solutions are examined for a Cattaneo shift contact problem. The work in this paper provides a guidance to study fast solvers for the conformal contact.

Original languageEnglish
Pages (from-to)119-141
Number of pages23
JournalMathematical Modelling and Analysis
Issue number1
Publication statusPublished - 2016


  • concentrated contact
  • error propagation
  • half-space approach
  • influence coefficients
  • the finite element method


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