4.6 Article

Variation of Elastic Energy Shows Reliable Signal of Upcoming Catastrophic Failure

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FRONTIERS IN PHYSICS
卷 7, 期 -, 页码 -

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FRONTIERS MEDIA SA
DOI: 10.3389/fphy.2019.00106

关键词

material failure; fiber bundle model; elastic energy; damage energy; catastrophic failure; reliable signal

资金

  1. Research Council of Norway through its Centers of Excellence funding scheme [262644]

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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 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.

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