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Brittle to quasibrittle transition in a compound fiber bundle

Authors :
Roy, Chandreyee
Manna, S. S.
Source :
Physical Review E 100, 012107 (2019)
Publication Year :
2019

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.

Details

Database :
arXiv
Journal :
Physical Review E 100, 012107 (2019)
Publication Type :
Report
Accession number :
edsarx.1907.03982
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevE.100.012107