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Scale invariance in brittle fracture and the dynamics of crack fusion

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Abstract

The brittle fracture of solids subject to extreme differential stress is assumed to be a consequence of the sequential fusion of smaller cracks into larger ones. Renormalization methods quantitatively describe the dynamics of the cascade of fusion events that culminates in failure, including the observed time-to-failure versus stress scaling law.

Résumé

On pose l'hypothèse que la rupture fragile des solides soumis à des contraintes différentielles est une conséquence de la fusion en série de petites fissures en de grandes.

Des méthodes de renormalisation décrivant de manière quantitative la dynamique qui préside à la cascade de fusion conduisant à l'extrême à la rupture, y compris la durée à rupture par rapport à la loi de croissance de la contrainte.

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Author information

Authors and Affiliations

  1. Department of Earth and Space Sciences, University of California, 90024, Los Angeles, CA, USA

    William I. Newman

  2. Department of Mathematics, University of California, 90024, Los Angeles, CA, USA

    William I. Newman

  3. Department of Physics, University of California, 90024, Los Angeles, CA, USA

    Leon Knopoff

  4. Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, CA, USA

    Leon Knopoff

Authors
  1. William I. Newman
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  2. Leon Knopoff
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Newman, W.I., Knopoff, L. Scale invariance in brittle fracture and the dynamics of crack fusion. Int J Fract 43, 19–24 (1990). https://doi.org/10.1007/BF00018124

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  • DOI: https://doi.org/10.1007/BF00018124

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