The Application of Fast Multipole-BEM for 3-D Elastic Contact Problem with Friction

摘要

In this paper, three-dimensional elastic contact problem is dis-cussed. Based on traditional boundary element method (BEM), mixed boundary integral equation is presented to solving several bodies contact problem with friction. It is not only reducing the dimension from domain to boundary, but also solving the displacement and stress independently at the same time. A new judgement criterion of contact state is established to judge the contact state of separate, adhere and slip. Through numerical analysis, the displacement and stress obtained by FM-BEM is better than traditional BEM in calculation time and accuracy. It illustrates that FM-BEM is better than traditional BEM for solving contact problem with friction.