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

Simpson, Robert Napier, Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002, Lian, Haojie ORCID: https://orcid.org/0000-0002-1706-0216 and Trevelyan, J. 2013. An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects. Computers and Structures 118 , pp. 2-12. 10.1016/j.compstruc.2012.12.021

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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
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	Isogeometric analysis; Boundary element method; NURBS; Implementation
Publisher:	Elsevier
ISSN:	0045-7949
Funders:	EU FP7, European Research Council (ERC)
Last Modified:	05 Aug 2023 02:16
URI:	https://orca.cardiff.ac.uk/id/eprint/47122

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