An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials

Hattori, G.; Alatawi, I.A.; Trevelyan, J.

doi:10.1002/nme.5311

An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials

Hattori, G.; Alatawi, I.A.; Trevelyan, J.

Authors

G. Hattori

I.A. Alatawi

Professor Jon Trevelyan jon.trevelyan@durham.ac.uk
Emeritus Professor

Abstract

We propose a formulation for linear elastic fracture mechanics (LEFM) in which the stress intensity factors (SIF) are found directly from the solution vector of an extended boundary element method (XBEM) formulation. The enrichment is embedded in the BEM formulation, rather than adding new degrees of freedom for each enriched node. Therefore, a very limited number of new degrees of freedom is added to the problem, which contributes to preserving the conditioning of the linear system of equations. The Stroh formalism is used to provide BEM fundamental solutions for any degree of anisotropy, and these are used for both conventional and enriched degrees of freedom. Several numerical examples are shown with benchmark solutions to validate the proposed method.

Citation

Hattori, G., Alatawi, I., & Trevelyan, J. (2017). An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials. International Journal for Numerical Methods in Engineering, 109(7), 965-981. https://doi.org/10.1002/nme.5311

Journal Article Type	Article
Acceptance Date	May 31, 2016
Online Publication Date	Jul 14, 2016
Publication Date	Feb 17, 2017
Deposit Date	Jun 2, 2016
Publicly Available Date	Jun 7, 2017
Journal	International Journal for Numerical Methods in Engineering
Print ISSN	0029-5981
Electronic ISSN	1097-0207
Publisher	Wiley
Peer Reviewed	Peer Reviewed
Volume	109
Issue	7
Pages	965-981
DOI	https://doi.org/10.1002/nme.5311

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Copyright Statement
This is the accepted version of the following article: Hattori, G., Alatawi, I.A. & Trevelyan, J. (2017). An extended boundary element method formulation for the direct calculation of stress intensity factors in fully anisotropic materials. International Journal for Numerical Methods in Engineering, 109(7): 965-981, which has been published in final form at https://doi.org/10.1002/nme.5311. This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.