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International Journal of Fracture

, Volume 204, Issue 1, pp 55–78 | Cite as

Linear elastic fracture simulation directly from CAD: 2D NURBS-based implementation and role of tip enrichment

  • X. Peng
  • E. AtroshchenkoEmail author
  • P. Kerfriden
  • S. P. A. Bordas
Original Paper

Abstract

We propose a method for simulating linear elastic crack growth through an isogeometric boundary element method directly from a CAD model and without any mesh generation. To capture the stress singularity around the crack tip, two methods are compared: (1) a graded knot insertion near crack tip; (2) partition of unity enrichment. A well-established CAD algorithm is adopted to generate smooth crack surfaces as the crack grows. The M integral and \(J_k\) integral methods are used for the extraction of stress intensity factors (SIFs). The obtained SIFs and crack paths are compared with other numerical methods.

Keywords

Isogeometric analysis NURBS Linear elastic fracture Boundary element method Crack growth 

Notes

Acknowledgments

The first and last authors would like to acknowledge the financial support of the Framework Programme 7 Initial Training Network Funding under grant number 289361 ‘Integrating Numerical Simulation and Geometric Design Technology’. S. P. A. Bordas also thanks partial funding for his time provided by the UK Engineering and Physical Science Research Council (EPSRC) under grant EP/G069352/1 Advanced discretization strategies for ‘atomistic’ nano CMOS simulation; the EPSRC under grant EP/G042705/1 ‘Increased Reliability for Industrially Relevant Automatic Crack Growth Simulation with the eXtended Finite Element Method’ and the European Research Council Starting Independent Research Grant (ERC Stg grant agreement No. 279578) entitled ‘Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery’. E. Atroshchenko was partially supported by Fondecyt grant number 11130259 entitled ‘Boundary element modeling of crack propagation in micropolar materials’.

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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  • X. Peng
    • 1
  • E. Atroshchenko
    • 2
    Email author
  • P. Kerfriden
    • 1
  • S. P. A. Bordas
    • 1
    • 3
    • 4
  1. 1.Institute of Mechanics Materials and Advanced ManufacturingCardiff UniversityCardiffUK
  2. 2.Department of Mechanical EngineeringUniversity of ChileSantiagoChile
  3. 3.Faculté des Sciences, de la Technologie et de la CommunicationUniversité du LuxembourgLuxembourgLuxembourg
  4. 4.University of Western AustraliaCrawleyAustralia

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