Brittle to quasibrittle transition in a compound fiber bundle

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 be consisting 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.

References in corpus (3)

• Local load sharing fiber bundles with a lower cutoff of strength disorder
• A random fiber bundle with many discontinuities in the threshold distribution
• Disorder induced brittle to quasi-brittle transition in fiber bundles