Article (Scientific journals)
An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects
Simpson, Robert; Bordas, Stéphane; Lian, Haojie et al.
2013In Computers and Structures, 118, p. 2-12
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Keywords :
Isogeometric analysis; Boundary element method; Implementation; NURBS; Computer applications; Parametric functions; Civil engineering; Implementation aspects; Engineering design; Boundary elements; Boundary representations
Abstract :
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® code are given whenever possible to aid understanding of the techniques used.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Simpson, Robert;  Cardiff University > Engineering School
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Lian, Haojie;  Cardiff University > Engineering School
Travelyan, Jon;  Durham University
Language :
English
Title :
An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects
Publication date :
March 2013
Journal title :
Computers and Structures
ISSN :
0045-7949
Publisher :
Elsevier, United Kingdom
Special issue title :
UK Association for Computational Mechanics in Engineering
Volume :
118
Pages :
2-12
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
European Projects :
FP7 - 289361 - INSIST - Integrating Numerical Simulation and Geometric Design Technology
Funders :
CE - Commission Européenne [BE]
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