  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.
