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

Front. Phys. | doi: 10.3389/fphy.2019.00106

Variation of elastic energy shows reliable signal of upcoming catastrophic failure

  • 1Department of Physics, Faculty of Natural Sciences, Norwegian University of Science and Technology, Norway

We consider the Equal-Load-Sharing Fiber Bundle Model
as a model for composite materials under stress and derive elastic energy and
damage energy as a function of strain. With gradual increase of stress (or strain) the bundle
approaches a catastrophic failure point where the elastic energy is always larger than the damage energy.
We observe that elastic energy has a maximum that appears after the catastrophic failure point is passed,
i.e., in the unstable phase of the system. However, the slope of elastic energy
{\it vs.\/} strain curve has a maximum which always appears before the
catastrophic failure point and therefore this can be used as a reliable
signal of upcoming catastrophic failure. We study this behavior analytically
for power-law type and Weibull type distributions of fiber thresholds and
compare the results with numerical simulations on a single bundle with large number of fibers.

Keywords: material failure, fiber bundle model, elastic energy, damage energy, catastrophic failure, reliable signal, material failure, fiber bundle model, Elastic energy, Damage energy, Catastrophic failure, reliable signal

Received: 09 Mar 2019; Accepted: 08 Jul 2019.

Edited by:

Ferenc Kun, University of Debrecen, Hungary

Reviewed by:

Takahiro Hatano, The University of Tokyo, Japan
Mikko Alava, Aalto University, Finland
Bikas K. Chakrabarti, Saha Institute of Nuclear Physics (SINP), India  

Copyright: © 2019 Pradhan, Kjellstadli 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: Dr. Srutarshi Pradhan, Department of Physics, Faculty of Natural Sciences, Norwegian University of Science and Technology, Trondheim, 7491, Sør-Trøndelag, Norway, srutarshi.pradhan@ntnu.no