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An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects

delete2013-03-01
delete150
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OA
AI
R
Robert Simpson
S
Stéphane Bordas *
H
Haojie Lian
J
James Trevelyan
DOI:10.1016/j.compstruc.2012.12.021delete
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摘要

摘要

En 中文
The concept of isogeometric analysis, whereby the parametric functions that are used to describe CAD geometry are also used to approximate the unknown fields in a numerical discretisation, has progressed rapidly in recent years. This paper advances the field further by outlining an isogeometric boundary element Method (IGABEM) that only requires a representation of the geometry of the domain for analysis, fitting neatly with the boundary representation provided completely by CAD. The method circumvents the requirement to generate a boundary mesh representing a significant step in reducing the gap between engineering design and analysis. The current paper focuses on implementation details of 2D IGABEM for elastostatic analysis with particular attention paid towards the differences over conventional boundary element implementations. Examples of Matlab (R) code are given whenever possible to aid understanding of the techniques used. Crown Copyright (C) 2013 Published by Elsevier Ltd. All rights reserved.
Keyword:
Isogeometric analysis
Boundary element method
NURBS
Implementation

期刊

C
Computers and Structures
IF:
4.8
论文数:
6.2K
被引数:
1.7W

机构

D
Durham University
学者数:
1.3W
论文数: 1.5W
被引数: 2.1W
C
Cardiff University
学者数:
2.7W
论文数: 2.5W
被引数: 3.5W
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