Variation of elastic energy shows reliable signal of upcoming catastrophic failure
Abstract
We consider the EqualLoadSharing 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 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 powerlaw type and Weibull type distributions of fiber thresholds and compare the results with numerical simulations on a single bundle with large number of fibers.
 Publication:

Frontiers in Physics
 Pub Date:
 July 2019
 DOI:
 10.3389/fphy.2019.00106
 arXiv:
 arXiv:1903.03803
 Bibcode:
 2019FrP.....7..106P
 Keywords:

 material failure;
 fiber bundle model;
 elastic energy;
 damage energy;
 catastrophic failure;
 reliable signal;
 Elastic energy;
 Damage energy;
 Catastrophic failure;
 Condensed Matter  Statistical Mechanics
 EPrint:
 10 pages, 14 Figures