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

Simpson, R.N. and Bordas, S.P.A. and Lian, H. and Trevelyan, J. (2013) 'An isogeometric boundary element method for elastostatic analysis : 2D implementation aspects.', Computers and structures., 118 . pp. 2-12.

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.

Item Type:Article
Keywords:Isogeometric analysis, Boundary element method, NURBS, Implementation.
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1016/j.compstruc.2012.12.021
Publisher statement: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.
Date accepted:No date available
Date deposited:16 June 2014
Date of first online publication:March 2013
Date first made open access:No date available

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