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Accurate Simulation of Frictionless and Frictional Cohesive Crack Growth in Quasi-Brittle Materials Using XFEM

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Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 5))

Summary

This paper discusses the crack tip asymptotic fields of frictionless and frictional cohesive cracks in quasi-brittle materials. This has been made possible after reformatting the cohesive-law into a special but universal polynomial. For accurate simulation of crack growth in quasi-brittle materials using the extended/generalized finite element method (XFEM), the leading term of the true displacement asymptotic field is used as the enrichment function at the tip of a cohesive crack. The opening component of the same field is also used as the initial guess opening profile of a newly extended cohesive segment. A statically admissible stress recovery (SAR) technique is used to recover the stresses at the crack tip. Finally, a pure mode I cohesive crack problem is analysed to demonstrate the characteristics of global responses and local fields obtained numerically by the XFEM.

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Authors and Affiliations

  1. School of Engineering, Cardiff University, Queen's Buildings, The Parade, Newport Road, Cardiff, CF24 3AA, UK

    B. L. Karihaloo & Q. Z. Xiao

Authors
  1. B. L. Karihaloo
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  2. Q. Z. Xiao
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Corresponding author

Correspondence to B. L. Karihaloo .

Editor information

Editors and Affiliations

  1. LaMCos, INSA de Lyon, France

    Alain Combescure

  2. Eindhoven University of Technology, Eindhoven, The Netherlands

    René De Borst

  3. Northwestern University, Evanston, IL, USA

    Ted Belytschko

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© 2007 Springer

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Karihaloo, B.L., Xiao, Q.Z. (2007). Accurate Simulation of Frictionless and Frictional Cohesive Crack Growth in Quasi-Brittle Materials Using XFEM. In: Combescure, A., De Borst, R., Belytschko, T. (eds) IUTAM Symposium on Discretization Methods for Evolving Discontinuities. IUTAM Bookseries, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6530-9_14

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  • DOI: https://doi.org/10.1007/978-1-4020-6530-9_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-6529-3

  • Online ISBN: 978-1-4020-6530-9

  • eBook Packages: EngineeringEngineering (R0)

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