A Zener±Stroh crack in a ®ber-reinforced composite material
نویسندگان
چکیده
A Zener±Stroh crack is formed by coalescing a dislocation pileup and therefore is a net dislocation loaded crack. In this paper, the interaction between a Zener±Stroch crack and surrounding cylindrical ®bers in a ®ber-reinforced composite material has been investigated. The crack is located in the matrix and near a ®ber, while the in ̄uence of other ®bers on the crack is considered through the three-phase composite cylinder model. Using the solution of stress ®eld for a single dislocation in a three-phase cylinder as the GreenÕs function, the crack is represented by a continuous distribution of dislocations. A set of singular integral equations are thus formulated and solved numerically. The stress intensity factor (SIF) on the crack tip due to crack±inclusions interaction is calculated. The results show that the volume concentration of ®bers has non-negligible in ̄uence on the SIF of the crack. Ó 2000 Elsevier Science Ltd. All rights reserved.
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