A solution approach for contact problems based on the dual interpolation boundary face method
A solution approach for contact problems based on the dual interpolation boundary face method
复制标题
基于对偶插值边界面法的接触问题求解方法
DOI：
10.1016/j.apm.2019.02.013
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发表时间：
2019-06
影响因子：
5
通讯作者：
Chai Pengfei
中科院分区：
文献类型：
--
作者：
Zhang Jianming;Shu Xiaomin;Trevelyan Jon;Lin Weicheng;Chai Pengfei
The recently proposed dual interpolation boundary face method (DiBFM) has been shown to have a much higher accuracy and improved convergence rates compared with the traditional boundary element method. In addition, the DiBFM has the ability to approximate both continuous and discontinuous fields, and this provides a way to approximate the discontinuous pressure at a contact boundary. This paper presents a solution approach for two dimensional frictionless and frictional contact problems based on the DiBFM. The solution approach is divided into outer and inner iterations. In the outer iteration, the size of the contact zone is determined. Then the elements near the contact boundary are updated to approximate the discontinuous pressure. The inner iteration is used to determine the contact state (sticking or sliding), and is only performed for frictional contact problems. To make the system of equations solvable, the contact constraints and some supplementary equations are also given. Several numerical examples demonstrate the validity and high accuracy of the proposed approach. Furthermore, due to the continuity of elements in DiBFM and the detection of the contact boundary, the pressure oscillations near the contact boundary can be treated.
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