A BE hyper-singular formulation for contact problems using non-conforming discretization

摘要

A new formulation for solving elastic frictional contact problems by the boundary element method (BEM) using non-conforming discretization is presented. The contact conditions are enforced by relating tractions and displacements at every node of the contact zone with points on the opposite surface. The unknowns at these contact points are computed by the boundary integral displacement equation, which contains a strongly singular integral, or the 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 approach and others available, namely the conforming discretization and non-conforming discretization with the use of shape functions. (C) 1998 Elsevier Science Ltd. All rights reserved. References: 14