Abstract

Asymptotic and numerical results for the elastic pull-out of a nearly-rigid fibre from a half space with a fixed plane surface are reported. The asymptotic results are accurate to 0( ε 2 ), where ε = (In 2 I / R ) −1 is a perturbation parameter in the slender-body theory. I and R are the fibre embedded length and radius, respectively. For one particular fibre profile an asymptotic solution which is accurate to any power of ε is possible. Numerical confirmation of asymptotic solutions are based on integrating the slender-body theory exactly, and on the boundary element method.

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