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Original Research ARTICLE Provisionally accepted The full-text will be published soon. Notify me

Front. Phys. | doi: 10.3389/fphy.2019.00105

Can Local Stress Enhancement Induce Stability in Fracture Processes? Part I: Apparent Stability

  • 1Norwegian University of Science and Technology, Norway
  • 2Porous Media Laboratory, Faculty of Natural Sciences, Norwegian University of Science and Technology, Norway

By comparing the evolution of the local and equal load sharing fiber bundle models, we point out the paradoxical result that stresses seem to make the local load sharing model stable when the equal load sharing model is not. We explain this behavior by demonstrating that it is only an apparent stability in the local load sharing model, which originates from a statistical effect due to sample averaging. Even though we use the fiber bundle model to demonstrate the apparent stability, we argue that it is a more general feature of fracture processes.

Keywords: fiber bundle model, material failure, crack growth, Local load sharing, local load sharing model, Fracture localization, Fracture localisation

Received: 23 May 2019; Accepted: 08 Jul 2019.

Edited by:

José S. Andrade Jr., Universidade Federal do Ceará, Brazil

Reviewed by:

Andre P. Vieira, University of São Paulo, Brazil
Subhrangshu S. Manna, S.N. Bose National Centre for Basic Sciences, India  

Copyright: © 2019 Kjellstadli, Bering, Hendrick, Pradhan and Hansen. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Mx. Jonas T. Kjellstadli, Norwegian University of Science and Technology, Trondheim, Norway, jonas.t.kjellstadli@ntnu.no