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Damage driven crack initiation and propagation in ductile metals using XFEM

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Abstract

Originally Continuum Damage Mechanics and Fracture Mechanics evolved separately. However, when it comes to ductile fracture, an unified approach is quite beneficial for an accurate modelling of this phenomenon. Ductile materials may undergo moderate to large plastic deformations and internal degradation phenomena which are well described by continuum theories. Nevertheless in the final stages of failure, a discontinuous methodology is essential to represent surface decohesion and macro-crack propagation. In this work, XFEM is combined with the Lemaitre ductile damage model in a way that crack initiation and propagation are governed by the evolution of damage. The model was built under a finite strain assumption and a non-local integral formulation is applied to avoid pathological mesh dependence. The efficiency of the proposed methodology is evaluated through various numerical examples.

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Authors and Affiliations

  1. FEUP, Rua Dr. Roberto Frias, 4200-465, Porto, Portugal

    Mariana R. R. Seabra & Jose M. A. Cesar de Sa

  2. C3M d.o.o., Tehnološki Park 21, Ljubljana, Slovenia

    Primož Šuštarič & Tomaž Rodič

  3. Faculty of Natural Sciences and Engineering, University of Ljubljana, Ljubljana, Slovenia

    Tomaž Rodič

Authors
  1. Mariana R. R. Seabra
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  2. Primož Šuštarič
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  3. Jose M. A. Cesar de Sa
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  4. Tomaž Rodič
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Correspondence to Mariana R. R. Seabra.

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Seabra, M.R.R., Šuštarič, P., Cesar de Sa, J.M.A. et al. Damage driven crack initiation and propagation in ductile metals using XFEM. Comput Mech 52, 161–179 (2013). https://doi.org/10.1007/s00466-012-0804-9

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  • DOI: https://doi.org/10.1007/s00466-012-0804-9

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