Motivated by an asymptotic model of pullout test for a frictional fibre in a solid, we consider a boundary layer model problem for an elastic space containing an infinite cylindrical fibre with a frictional interface. In the region where frictional sliding occurs, the transfer of load across the interface is governed by a Coulomb friction law. Outside the slipping region the fibre and the surrounding matrix are perfectly bonded. The problem is reduced to a singular integral equation which is analyzed in detail. We study two cases: (i) the case when the slipping region is finite, and (ii) the case when this region is semi-infinite. We assume that the Mode-II stress intensity factor vanishes at the end of the slipping zone. The latter assumption is used to determine the boundary between the two regions.
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