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Crack localization and the interplay between stress enhancement and thermal noise

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  • Sinha, Santanu
  • Roy, Subhadeep
  • Hansen, Alex

Abstract

We study the competition between thermal fluctuations and stress enhancement in the failure process of a disordered system by using a local load sharing fiber bundle model. The thermal noise is introduced by defining a failure probability that constitutes the temperature and elastic energy of the fibers. We observe that at a finite temperature and low disorder strength, the failure process, which nucleates in the absence of any thermal fluctuation, becomes spatially uncorrelated when the applied stress is sufficiently low. The dynamics of the model in this limit lies closely to the universality class of ordinary percolation. When applied stress is increased beyond a threshold value, localized fractures appear in the system which grow with time. We identify the boundary between the localized and random failure process in the space of temperature and applied stress, and find that the threshold of stress corresponding to the onset of localized crack growth increases with the increase of temperature.

Suggested Citation

  • Sinha, Santanu & Roy, Subhadeep & Hansen, Alex, 2021. "Crack localization and the interplay between stress enhancement and thermal noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).
    • Handle: RePEc:eee:phsmap:v:569:y:2021:i:c:s0378437121000546
    DOI: 10.1016/j.physa.2021.125782
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    References listed on IDEAS

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    1. Santanu Sinha & S. B. Santra, 2005. "Directed Spiral Percolation Hull On The Square And Triangular Lattices," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(08), pages 1251-1268.
    2. S. Sinha & S. Santra, 2004. "Breakdown of universality in directed spiral percolation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 39(4), pages 513-519, June.
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    Cited by:

    1. Kádár, Viktória & Danku, Zsuzsa & Pál, Gergő & Kun, Ferenc, 2022. "Approach to failure through record breaking avalanches in a heterogeneous stress field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).

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