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Interactive three-dimensional boundary element stress analysis of components in aircraft structures

Foster, T.M.; Mohamed, M.S.; Trevelyan, J.; Coates, G.; Spence, S.H.; Walker, S.K.

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T.M. Foster

M.S. Mohamed

G. Coates

S.H. Spence

S.K. Walker


Computer aided design of mechanical components is an iterative process that often involves multiple stress analysis runs; this can be time consuming and expensive. Significant efficiency improvements can be made by increasing interactivity at the conceptual design stage. One approach is through real-time re-analysis of models with continuously updating geometry. Thus each run can benefit from an existing mesh and governing boundary element matrix that are similar to the updated geometry. For small problems, amenable to real-time analysis, re-integration accounts for the majority of the re-analysis time. This paper assesses how efficiency can be achieved during re-integration through both algorithmic and hardware based methods. For models with fewer than 10,000 degrees of freedom, the proposed algorithm performs up to five times faster than a standard integration scheme. An additional six times speed is achieved on eight cores over the serial implementation. By combining this work with previously addressed meshing and solution schemes, real-time re-analysis becomes a reality for small three-dimensional problems. Significant acceleration of larger systems is also achieved. This work demonstrates the viability of application in the aerospace industry where rapid validation of a range of similar models is an essential tool for optimising aircraft designs.


Foster, T., Mohamed, M., Trevelyan, J., Coates, G., Spence, S., & Walker, S. (2015). Interactive three-dimensional boundary element stress analysis of components in aircraft structures. Engineering Analysis with Boundary Elements, 56, 190-200.

Journal Article Type Article
Acceptance Date Jan 29, 2015
Publication Date Jul 1, 2015
Deposit Date Mar 24, 2015
Publicly Available Date Mar 19, 2016
Journal Engineering Analysis with Boundary Elements
Print ISSN 0955-7997
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 56
Pages 190-200
Keywords Boundary element method (BEM), Interactive, Re-analysis, Re-integration


Accepted Journal Article (2.9 Mb)

Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Engineering Analysis with Boundary Elements. 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 Engineering Analysis with Boundary Elements, 56, July 2015, 10.1016/j.enganabound.2015.01.017.

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