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

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

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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:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Bordas, Dr Stephane and Simpson, Dr Robert
Authors: Simpson, R.N., Bordas, S.P.A., Lian, H., and Trevelyan, J.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Computers and Structures
Publisher:Elsevier
ISSN:0045-7949
Published Online:15 February 2013

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