Damage in fiber bundle models

1999/08/31 by Ferenc Kun, Stefano Zapperi, Hans J. Herrmann +1 · 8 citations
Engineering · Materials Science · Physics and Astronomy · #Advanced Fiber Optic Sensors #High voltage insulation and dielectric phenomena #Mechanical Behavior of Composites #cond-mat.mtrl-sci #cond-mat.stat-mech

paper · pdf · doi:10.1007/pl00011084

9 pages, 13 figures (ps, eps)

arxiv created 2000/04/15 · openalex publication_date 2000/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a continuous damage fiber bundle model that gives rise to macroscopic plasticity and compare its behavior with that of dry fiber bundles. Several interesting constitutive behaviors are found in this model depending on the value of the damage parameter and on the form of the disorder distribution. In addition, we compare the behavior of global load transfer models with local load transfer models and study in detail the damage evolution before failure. We emphasize the analogies between our results and spinodal nucleation in first-order phase transitions.

Cited by

• Time dependence of breakdown in a global fiber-bundle model with continuous damage
• Phase transitions in load transfer models of fracture
• Universal avalanche statistics and triggering close to failure in a mean-field model of rheological fracture
• Universality class of fiber bundles with strong heterogeneities
• Brittle to quasibrittle transition in a compound fiber bundle
• Damage process of a fiber bundle with a strain gradient
• Crackling noise in three-point bending of heterogeneous materials
• A fiber-bundle model for the continuum deformation of brittle material