An Isogeometric Boundary Element Method for elastostatic analysis: 2D implementation aspects
Simpson, R.N.; Bordas, S.P.A.; Lian, H.; Trevelyan, J.
Professor Jon Trevelyan firstname.lastname@example.org
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.
Simpson, R., Bordas, S., Lian, H., & Trevelyan, J. (2013). An Isogeometric Boundary Element Method for elastostatic analysis: 2D implementation aspects. Computers and Structures, 118, 2-12. https://doi.org/10.1016/j.compstruc.2012.12.021
|Journal Article Type||Article|
|Publication Date||Mar 1, 2013|
|Deposit Date||Apr 22, 2013|
|Publicly Available Date||Jun 16, 2014|
|Journal||Computers and Structures|
|Peer Reviewed||Peer Reviewed|
|Keywords||Isogeometric analysis, Boundary element method, NURBS, Implementation.|
Accepted Journal Article
NOTICE: this is the author’s version of a work that was accepted for publication in Computers and Structures. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computers and Structures, 118, 2003, 10.1016/j.compstruc.2012.12.021.
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