Analysis of an Elastic Contact Problem by the Boundary Element Method : (An Approach by the Penalty Function Method)

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The boundary element method (BEM) using the penalty function method for elastic contact problems is developed. The contact conditions of the slip, stick and opening states on the contact area are included in the virtual work functional and by introducing the penalty coefficients a system integral equation of boundary values is formulated without any increase of the unknown parameter. The BEM based on this formulation is applied to typical two-dimensional contact problems such as the contact between a block and a plate, and a disk and a plate. The numerical results are found to agree well with the analytical solutions.

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