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Modelling of crack propagation in strongly anisotropic media using phase-field fracture and LEFM
Flavien Loiseau  1@  , Veronique Lazarus  2@  
1 : Institut des Sciences de la mécanique et Applications industrielles
Centre National de la Recherche Scientifique - CNRS, Electricité de France - EDF, ENSTA Paris, Institut Polytechnique de Paris
828 bd des maréchaux 91762 Palaiseau cedex France -  France
2 : Institut des Sciences de la Mécanique et Applications Industrielles
Centre National de la Recherche Scientifique - CNRS, Electricité de France - EDF, ENSTA Paris, Institut Polytechnique de Paris

The study of crack propagation in anisotropic media is becoming increasingly important in structural mechanics. Additive manufacturing processes, in particular, are being investigated for their capacity to produce custom parts and their potential to repair structures (Ngo et al., 2018). Understanding and modeling their mechanical degradation is crucial to ensure the safe application of 3D-printed materials. However, knowledge of crack propagation modeling in these materials still needs to be completed. The microstructure of anisotropic materials induces anisotropy in their fracture toughness, complicating the modeling process. While some models can qualitatively represent crack propagation in such materials, only a few quantitative studies are currently available. Previous studies (Corre & Lazarus, 2021; Zhai, 2023) have demonstrated that strongly anisotropic phase-field fracture models can effectively capture crack propagation in anisotropic media. Building on this foundation, this work further evaluates the capabilities of strongly anisotropic phase-field fracture models. In particular, we aim to investigate more complex propagation problems, such as cases involving crack path bifurcation. Simulations will be compared against Linear Elastic Fracture Mechanics results, using the Generalization of the Maximum Energy Release Rate to anisotropic media.

References

Corre, T., & Lazarus, V. (2021). Kinked crack paths in polycarbonate samples printed by fused deposition modelling using criss-cross patterns. International Journal of Fracture, 230(1), 19–31. https://doi.org/10.1007/s10704-021-00518-x
Ngo, T. D., Kashani, A., Imbalzano, G., Nguyen, K. T. Q., & Hui, D. (2018). Additive manufacturing (3D printing): A review of materials, methods, applications and challenges. Composites Part B: Engineering, 143, 172–196. https://doi.org/10.1016/j.compositesb.2018.02.012
Zhai, X. (2023). Crack propagation in elastic media with anisotropic fracture toughness: Experiments and phase-field modeling.

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