Stress analysis without meshing: Isogeometric boundary-element method

Lian, Haojie ORCID: https://orcid.org/0000-0002-1706-0216, Simpson, Robert Napier and Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002 2013. Stress analysis without meshing: Isogeometric boundary-element method. Proceedings of the Institution of Civil Engineers. Engineering and Computational Mechanics 166 (2) , pp. 88-99. 10.1680/eacm.11.00024

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Abstract

The focus of this paper is the description and numerical validation of a computational method where stress analysis can be performed directly from computer-aided design data without mesh generation. The clear benefit of the approach is that no mesh needs to be generated prior to running the analysis. This is achieved by utilising the isogeometric concept whereby computer-aided design data are used to construct not only the geometry discretisation but also the displacement and traction approximations. In this manner, significant savings can be made in the engineering design and analysis process. This paper also demonstrates that, compared with a standard boundary-element method implementation using quadratic Lagrangian shape functions, superior accuracy is achieved using the present approach for the same number of degrees of freedom. It further illustrates practical applications of the method, comparing against results obtained with a standard boundary-element method and finite-element method for verification. In addition, a propeller is analysed as a sample to show the ability of the present method to handle complex three-dimensional geometries.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	computational mechanics; stress analysis; design method & aids
Publisher:	Thomas Telford
ISSN:	1755-0777
Funders:	European Research Council (ERC), EU FP7
Last Modified:	05 Aug 2023 02:16
URI:	https://orca.cardiff.ac.uk/id/eprint/47123

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