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Boundary face method for 3D contact problems with non-conforming contact discretization.pdf
Engineering Analysis with Boundary Elements 63 (2016) 40–48
Contents lists available at ScienceDirect
Engineering Analysis with Boundary Elements
journal homepage: /locate/enganabound
Boundary face method for 3D contact problems with non-conforming contact discretization
Xingshuai Zheng a,b, Jianming Zhang a,n, Kai Xiong a, Xiaomin Shu a, Lei Han a
a State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University b School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, China
article info
Article history: Received 30 March 2015 Received in revised form 29 October 2015 Accepted 31 October 2015 Available online 21 November 2015
Keywords: Contact problems Boundary face method Non-conforming contact discretization
abstract
Three-dimensional contact problems without friction have been studied using the boundary face method (BFM). In this paper, a non-conforming contact discretization approach is used to enforce the contact conditions between the two contact surfaces. This method is based on node-to-surface (NTS), and there is no need that the identical discretization is performed along the contact surfaces of both bodies. The contact equations are written explicitly with both tractions and displacements which are retained as unknowns in boundary integral equation (BIE). An iterative procedure is presented to determine the correct contact zone by obtaining a solution compatible with the contact conditions (no interpenetrations between the domains and no tensile on the ?nal contact zone). Several numerical examples have been presented to illustrate the applicability of the method.
2015 Elsevier Ltd. All rights reserved.
1. Introduction
Boundary value problems involving contact are of great importance in industry related to mechanical and civil engineering. The load transferred through a mechanical assemblage usually causes stress concentrations, which increase the
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