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

Hattori, G. and Alatawi, I.A. and 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). pp. 965-981.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1002/nme.5311
Publisher 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.
Date accepted:31 May 2016
Date deposited:03 June 2016
Date of first online publication:14 July 2016
Date first made open access:14 July 2017

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