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Interacting Cracks Obey a Multiscale Attractive to Repulsive Transition

Marie-Émeline Schwaab 1 Thierry Biben 1 Stéphane Santucci 2, 3 Anthony 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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https://hal-univ-lyon1.archives-ouvertes.fr/hal-02289858
Contributor : Marie-Gabrielle Chautard Connect in order to contact the contributor
Submitted on : Tuesday, September 17, 2019 - 10:58:45 AM
Last modification on : Wednesday, January 19, 2022 - 11:45:53 AM

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

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Marie-Émeline Schwaab, Thierry Biben, Stéphane Santucci, Anthony 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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