Brittle to quasibrittle transition in a compound fiber bundle
arXiv:1907.03982 · doi:10.1103/PhysRevE.100.012107
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 and , each of width , and separated by a gap . 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 confirmed by our numerical results.
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