CUED Publications database

An Acceleration Approach for Fracture Problems in the Extended Boundary Element Method (XBEM) Framework

Hattori, G and Kettle, SH and Campos, L and Trevelyan, J and Albuquerque, EL (2017) An Acceleration Approach for Fracture Problems in the Extended Boundary Element Method (XBEM) Framework. In: Integral Methods in Science and Engineering, Volume 2. Springer International Publishing, pp. 105-113.

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Abstract

In this paper we investigate the use of the adaptive cross approximation (ACA) in the extended boundary element method (XBEM) framework. The proposed XBEM formulation is an implicit enrichment approach, where the stress intensity factors (SIF) are obtained with the displacements, eliminating the need of further post-processing to calculate these parameters. However, it is known that the boundary element formulation has drawbacks with respect to the matrix of the linear system of equations. Such matrices are unsymmetric and fully populated, which can be computationally expensive for large fracture problems containing multiple boundaries. We will show that ACA has the potential to accelerate the computational time without reducing the accuracy of the solution.

Item Type: Book Section
Subjects: UNSPECIFIED
Divisions: Div D > Structures
Depositing User: Cron Job
Date Deposited: 23 Apr 2018 20:15
Last Modified: 13 Apr 2021 10:46
DOI: 10.1007/978-3-319-59387-6_11