Boundary Condition Related Mixed Boundary Element and its Application in FMBEM for 3D Elastostatic Problem

2015 ◽  
Vol 12 (05) ◽  
pp. 1550029 ◽  
Author(s):  
Yingjun Wang ◽  
Xiaowei Deng ◽  
Qifu Wang ◽  
Zhaohui Xia ◽  
Hua Xu
Keyword(s):  
Boundary Condition ◽  
Boundary Element ◽  
Degrees Of Freedom ◽  
Large Scale ◽  
Mixed Boundary ◽  
Automatic Generation ◽  
Element Analysis ◽  
Triangular Elements ◽  
Boundary Element Analysis ◽  
Element Method

A boundary condition (BC) related mixed element method is presented to address the corner problem in boundary element method (BEM) for 3D elastostatic problems. In this method, noncontinuous elements (NCEs) are only used at the displacement-prescribed corners/edges and continuous elements (CEs) in other places, which can decrease the degrees of freedom (DOFs) compared to the approach using NCEs at all corners/edges. Moreover, an automatic generation algorithm of BC related mixed linear triangular elements is implemented with the help of 3D modeling engine ACIS, and the boundary element analysis (BEA) is integrated into CAD systems. In order to solve large scale problems, the fast multipole BEM (FMBEM) with mixed elements is proposed and utilized in the BEA. The examples show that the node shift scheme adopting 1/4 is optimal and the BEM/FMBEM using mixed elements can produce more accurate results by only increasing a small number of DOFs.

The Mixed Fast Multipole Boundary Element Method for Solving Strip Cold Rolling Process

2010 ◽  
Vol 20-23 ◽  
pp. 76-81 ◽  
Author(s):  
Hai Lian Gui ◽  
Qing Xue Huang
Keyword(s):  
Variational Inequality ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Large Scale ◽  
Mixed Boundary ◽  
Contact Problems ◽  
Boundary Integral ◽  
Fast Multipole ◽  
Mixed Variational Inequality ◽  
Element Method

Based on fast multipole boundary element method (FM-BEM) and mixed variational inequality, a new numerical method named mixed fast multipole boundary element method (MFM-BEM) was presented in this paper for solving three-dimensional elastic-plastic contact problems. Mixed boundary integral equation (MBIE) was the foundation of MFM-BEM and obtained by mixed variational inequality. In order to adapt the requirement of fast multipole method (FMM), Taylor series expansion was used in discrete MBIE. In MFM-BEM the calculation time was significant decreased, the calculation accuracy and continuity was also improved. These merits of MFM-BEM were demonstrated in numerical examples. MFM-BEM has broad application prospects and will take an important role in solving large-scale engineering problems.

A Boundary Element Analysis of Metal Extrusion Processes

1987 ◽  
Vol 54 (2) ◽  
pp. 335-340 ◽  
Author(s):  
A. Chandra ◽  
S. Mukherjee
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Numerical Results ◽  
Element Analysis ◽  
Geometrical Nonlinearities ◽  
The Subject ◽  
Boundary Element Analysis ◽  
Metal Extrusion ◽  
Element Method

The subject of this paper is an analysis of metal extrusion processes by the boundary element method (BEM). It is demonstrated here that the BEM can be used to analyze, efficiently and accurately, this complicated class of problems including both material and geometrical nonlinearities. Numerical results for sample problems of plane extrusion of aluminum bars, obtained by the BEM, are presented and discussed in this paper. The BEM results are compared against FEM results for the same sample problems. The FEM results were reported by the authors in a previous publication.

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