Frictional contact of a fibre and an elastic solid

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 co ntaining an infinite cylindrical fibre with a frictional interface. In the region where frictional sliding occurs, the transfer of load across the int erface is governed by a Coulomb friction law. Outside the slipping region t he fibre and the surrounding matrix are perfectly bonded. The problem is re duced 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 c ase when this region is semi-infinite. We assume that the Mode-II stress in tensity factor vanishes at the end of the slipping zone. The latter assumpt ion is used to determine the boundary between the two regions. (C) 2000 Els evier Science Ltd. All rights reserved.