2016
DOI: 10.3846/13926292.2016.1138418
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Extending the Bem for Elastic Contact Problems Beyond the Half-Space Approach

Abstract: Abstract. 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… Show more

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Cited by 13 publications
(10 citation statements)
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“…In this case, the solution of such problems is reduced, as shown in [5], to the problem of minimization of energy functionals on the sets given by inequalities. At the same time, the models take into account various additional factors, given in [6][7][8][9][10][11][12][13][14][15][16][17][18]. Thus, the works [6,10,16,17] consider the contact stiffness caused by surface roughness.…”
Section: Literature Review and Problem Statementmentioning
confidence: 99%
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“…In this case, the solution of such problems is reduced, as shown in [5], to the problem of minimization of energy functionals on the sets given by inequalities. At the same time, the models take into account various additional factors, given in [6][7][8][9][10][11][12][13][14][15][16][17][18]. Thus, the works [6,10,16,17] consider the contact stiffness caused by surface roughness.…”
Section: Literature Review and Problem Statementmentioning
confidence: 99%
“…The works [8,[12][13][14][15]18] take into account adhesion between the surfaces of the contacting bodies. The works [11,17] attempted to expand the scope of the boundary element method to a wider set of factors. At the same time, in all these works [6][7][8][9][10][11][12][13][14][15][16][17][18] it was not succeeded to combine all the important factors in a single model.…”
Section: Literature Review and Problem Statementmentioning
confidence: 99%
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“…, Kalker J. J. [5,7], E. Vollebregt [13,14]. They are based on the Variational Inequality Theory, and the 'minimum-energy' theory.…”
Section: Introductionmentioning
confidence: 99%