Open AccessEXTENDING THE BEM FOR ELASTIC CONTACT PROBLEMS BEYOND THE HALF-SPACE APPROACH
Author(s) -
Zhao Jian,
E.A.H. Vollebregt,
Cornelis W. Oosterlee
Publication year - 2016
Publication title -
mathematical modelling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2016.1138418
Subject(s) - finite element method , boundary element method , conformal map , boundary (topology) , half space , surface (topology) , function (biology) , space (punctuation) , computer science , boundary value problem , work (physics) , range (aeronautics) , deformation (meteorology) , mathematical analysis , mathematics , geometry , physics , structural engineering , mechanical engineering , materials science , engineering , evolutionary biology , biology , composite material , operating system , meteorology
In this paper we extend the range of applicability of the boundary element method (BEM) for concentrated elastic contact problems 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. For the half-space they are analytically available. An elastic model is proposed to compute these coefficients numerically, by the finite element method (FEM). We recommend proper strategies of FEM meshing and element types, considering accuracy and computational cost. The effects of computed ICs to contact solutions are examined for a Cattaneo shift problem. The work in this paper aims at providing a reference to study fast solvers for the conformal contact problem where ICs are not analytically known.
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