Abstract
In this paper we present some asymptotic results for the pull out of a nearly-rigid fibre from an elastic matrix. The asymptotic results are accurate toO(e2), wheree=(ln 2l/R)−1, if the fibre is pull-out from a semi-infinite matrix, and toO(h2/l2) if the fibre is pull-out from a matrix contained in a cylindrical container of radiush. Here R andl are the fibre radius and length, respectively. An interpolation formula is suggested which yields correct asymptotic behaviour at bothh/l=0 andh/l → ∞. These asymptotic results are confirmed by numerical methods to at least an aspect ratio ofl/R≧9. We also report some numerical confirmation of a previous approximate result for the pull out of a rigid fibre with an enlarged spherical end.
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