PSI - Issue 23

Jiří Vala et al. / Procedia Structural Integrity 23 (2019) 328 – 333 Ji ří Vala, Vladislav Kozák / Structural Integrity Procedia 00 (2019) 000 – 000

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Figure 1 shows the results of modelling of crack propagation applying the modified XFEM approach, namely the maximum principle stress in various stages of such propagation. The left figure corresponds to the initial state with out any crack, the central figure shows the crack passing the stiffening fibres, the right one the similar case with different shear moduli (2  higher in the horizontal direction).

Fig. 1. Modelling of crack propagation applying the modified XFEM approach.

4. Conclusions and generalizations

A model based on FEM and its XFEM modification based on the properties of fibre cementitious composites has been presented. Some criteria for crack propagation coming from both the critical stress values and both the cohesive law ahead the crack tip have been tested. The proposed approaches should contribute to the prediction of fracture behaviour of fibre cementitious composites and to the potential design of constructive structural parts.

Acknowledgements

This presentation has been supported from the projects i) of Ministry of Education, Youth and Sports of the Czech Republic AdMaS UP – Advanced Materials, Structures and Technologies , National Sustainability Programme I, LO1408, ii) of specific university research at Brno University of Technology FAST-S-19-5878.

References

Aduloju, C., Truster, T. J., 2019. A variational multiscale discontinuous Galerkin formulation for both implicit and explicit dynamic modeling of interfacial fracture. Computer Methods in Applied Mechanics and Engineering 343, 602 – 630. Babuška, I., Melenk, J. M., 1997. The partition of unity method. International Journal for Numerical Methods in Engineering 4 0, 727 – 758. Bouhala, L., Makradi, A., Belouettar, S., Kiefer- Kamal, H., Fréres, P., 2013. Modelling of failure in long fibres reinforced composites by X-FEM and cohesive zone model. Composites Part B 55, 352 – 361.