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A surface-to-surface scheme for 3D contact problems by boundary face method.pdf
Engineering Analysis with Boundary Elements 70 (2016) 23–30
Contents lists available at ScienceDirect
Engineering Analysis with Boundary Elements
journal homepage: /locate/enganabound
A surface-to-surface scheme for 3D contact problems by boundary face method
Xiaomin Shu, Jianming Zhang n, Lei Han, Yunqiao Dong
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China
article info
Article history: Received 25 January 2016 Received in revised form 5 May 2016 Accepted 21 May 2016 Available online 2 June 2016
Keywords: Contact problems Surface-to-surface Boundary face method
abstract
The surface-to-surface contact algorithm has been proposed to overcome the drawbacks of node-tosurface algorithm in ?nite element method implementations. In the surface-to-surface algorithm, contact constraints are imposed between sub-elements rather than between nodes, and an auxiliary plane for each element is introduced to perform overlapping area detection. This work presents a combination of the surface-to-surface algorithm and the boundary face method (BFM) for solving contact problems in three dimensions. The BFM is based on boundary integral equation and is a truly isogeometric method, as it makes direct use of the geometric information of the bounding surface of a body. Apparently, the BFM is more suitable for solving contact problems. In our implementation, the auxiliary plane is no more necessary, but replaced by the boundary faces themselves which already exist in the BFM data structure. Our implementation is natural and can more precisely match the contact conditions between faces, and therefore, higher level of accuracy can be expected. Numerical examples presented have demonstrated the advantages of the combined method.
2016 Elsevier Ltd. All rights reserved.
1. Introduction
Boundary value problems involving contact are of great importance in industry related to mechani
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