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Interacting Cracks Obey a Multiscale Attractive to Repulsive Transition

Marie-Émeline Schwaab, Thierry Biben, Stéphane Santucci, Anthony Gravouil, and Loïc Vanel
Phys. Rev. Lett. 120, 255501 – Published 20 June 2018
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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.

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  • Received 13 February 2018

DOI:https://doi.org/10.1103/PhysRevLett.120.255501

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsInterdisciplinary PhysicsGeneral PhysicsPolymers & Soft Matter

Synopsis

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Why Some Cracks Repel

Published 20 June 2018

A theoretical study of crack propagation provides an explanation for the observed repulsion between certain pairs of cracks on collision courses.

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Authors & Affiliations

Marie-Émeline Schwaab1, Thierry Biben1, Stéphane Santucci2,3, Anthony Gravouil4, and Loïc Vanel1,*

  • 1Université de Lyon, Université Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, F-69622 Villeurbanne, France
  • 2Université de Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, France
  • 3Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia
  • 4Université de Lyon, LaMCoS, INSA-Lyon, CNRS UMR5259, F-69621 Lyon, France

  • *loic.vanel@univ-lyon1.fr

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Issue

Vol. 120, Iss. 25 — 22 June 2018

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