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Interacting Cracks Obey a Multiscale Attractive to Repulsive Transition

M. E. Schwaab 1 Thierry Biben 1 S. Santucci 2, 3 A. Gravouil 4 Loïc Vanel 1
1 ILM - Institut Lumière Matière [Villeurbanne]
2 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
3 LIH - Lavrentyev Institute of Hydrodynamics
4 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
Abstract : The observed repulsive behavior of two initially collinear cracks growing towards each other and leading to a hook-shaped path questioned recently the validity of the principle of local symmetry within linear elastic fracture mechanics theory. Our theoretical and numerical work solves this dilemma, providing the precise geometric conditions for the existence of this repulsive phase. We moreover reveal a multiscale behavior of the repulsive-attractive transition, explaining its ubiquitous occurrence, but also the difficulty to predict the final cracks’ paths.
Keywords : Continuum mechanics Fracture Scaling laws of complex systems Finite-element method
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Journal articles
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https://hal-univ-lyon1.archives-ouvertes.fr/hal-02289858
Contributor : Marie-Gabrielle Chautard <>
Submitted on : Tuesday, September 17, 2019 - 10:58:45 AM
Last modification on : Wednesday, July 8, 2020 - 12:42:37 PM

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UNIV-LYON1 | ILM | CNRS | UDL | LAMCOS | ENS-LYON | INSA-LYON | INSA-GROUPE

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M. E. Schwaab, Thierry Biben, S. Santucci, A. Gravouil, Loïc Vanel. Interacting Cracks Obey a Multiscale Attractive to Repulsive Transition. Physical Review Letters, American Physical Society, 2018, 120 (25), pp.255501. ⟨10.1103/PhysRevLett.120.255501⟩. ⟨hal-02289858⟩

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