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

In: Integral Methods in Science and Engineering, Volume 2

Author

Listed:
  • G. Hattori

    (Durham University, School of Engineering and Computing Sciences)

  • S. H. Kettle

    (Durham University, School of Engineering and Computing Sciences)

  • L. Campos

    (Federal University of Espírito Santo)

  • J. Trevelyan

    (Durham University, School of Engineering and Computing Sciences)

  • E. L. Albuquerque

    (University of Brasilia, Department of Mechanical Engineering)

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.

Suggested Citation

  • G. Hattori & S. H. Kettle & L. Campos & J. Trevelyan & E. L. Albuquerque, 2017. "An Acceleration Approach for Fracture Problems in the Extended Boundary Element Method (XBEM) Framework," Springer Books, in: Christian Constanda & Matteo Dalla Riva & Pier Domenico Lamberti & Paolo Musolino (ed.), Integral Methods in Science and Engineering, Volume 2, chapter 0, pages 105-113, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-59387-6_11
    DOI: 10.1007/978-3-319-59387-6_11
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