(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. Further information on publisher's website:https://doi.org/10.1002/nme.5311Publisher's 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 nal 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.Additional information:
Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details.
ABSTRACTWe 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.