Brittle to quasibrittle transition in a compound fiber bundle

2019/07/08 by Chandreyee Roy, S. S. Manna · 6 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Brittleness #Bundle #Composite material #Distribution (mathematics) #Fiber #Fiber bundle #Granular flow and fluidized beds #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Physics #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.100.012107

published in Physical review. E 100(1), 012107 (American Physical Society)

openalex publication_date 2019/07/08 · arxiv created 2019/07/09 · arxiv updated 2019/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The brittle to quasibrittle transition has been studied for a compound of two different kinds of fibrous materials, having distinct difference in their breaking strengths under the framework of the fiber bundle model. A random fiber bundle model has been devised with a bimodal distribution of the breaking strengths of the individual fibers. The bimodal distribution is assumed to consist of two symmetrically placed rectangular probability distributions of strengths p and 1-p, each of width d, and separated by a gap 2s. Different properties of the transition have been studied varying these three parameters and using the well-known equal load-sharing dynamics. Our study exhibits a brittle to quasibrittle transition at the critical width d_c(s,p)=p(1/2-s)/(1+p) confirmed by our numerical results.

Citations

• Fiber bundle model with highly disordered breaking thresholds
• The statistical theory of the strength of bundles of threads. I
• Scaling forms for relaxation times of the fiber bundle model
• Local load sharing fiber bundles with a lower cutoff of strength disorder
• Damage in fiber bundle models
• Random fiber bundle with many discontinuities in the threshold distribution