Structural Engineering and Mechanics

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On the mixed-mode crack propagation in FGMs plates: comparison of different criteria

  • Nabil, Benamara (Laboratory of Materials and Reactive Systems, Mechanical Engineering Department, Djillali Liabes University of Sidi Bel-Abbes) ;
  • Abdelkader, Boulenouar (Laboratory of Materials and Reactive Systems, Mechanical Engineering Department, Djillali Liabes University of Sidi Bel-Abbes) ;
  • Miloud, Aminallah (Laboratory of Materials and Reactive Systems, Mechanical Engineering Department, Djillali Liabes University of Sidi Bel-Abbes) ;
  • Noureddine, Benseddiq (Mechanics Laboratory of Lille)
  • Received : 2015.09.28
  • Accepted : 2016.12.13
  • Published : 2017.02.10
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Abstract

Modelling of a crack propagating through a finite element mesh under mixed mode conditions is of prime importance in fracture mechanics. In this paper, two crack growth criteria and the respective crack paths prediction in functionally graded materials (FGM) are compared. The maximum tangential stress criterion (${\sigma}_{\theta}-criterion$) and the minimum strain energy density criterion (S-criterion) are investigated using advanced finite element technique. Using Ansys Parametric Design Language (APDL), the variation continues in the material properties are incorporated into the model by specifying the material parameters at the centroid of each finite element. In this paper, the displacement extrapolation technique (DET) proposed for homogeneous materials is modified and investigated, to obtain the stress intensity factors (SIFs) at crack-tip in FGMs. Several examples are modeled to evaluate the accuracy and effectiveness of the combined procedure. The effect of the defects on the crack propagation in FGMs was highlighted.

Keywords

References

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