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Boundary element hyper-singular formulation for elastoplastic contact problems. (English) Zbl 0974.74072
Summary: We present a new formulation for solving elastoplastic frictional contact problems by the boundary element method using non-conforming discretization. The initial strain approach, together with the von Mises yield criterion, is adopted. Two different methods are developed for the evaluation of contact parameters. The first utilizes the local interpolation functions to approximate the contact parameters at the non-nodal contact points. In the second method the unknowns at these contact points are computed by using a boundary integral displacement equation which contains a strongly singular integral, or by using a boundary integral traction equation, which has a hyper-singular integral. The resulting system of equations includes the unknowns of a node within the contact zone of one body expressed in terms of all nodal values of tractions and displacements of the other body. Comparisons are made between the new approaches and conforming discretizations.

##### MSC:
 74S15 Boundary element methods applied to problems in solid mechanics 74M15 Contact in solid mechanics 74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) 74M10 Friction in solid mechanics
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