Influence of fibre taper on the work of fibre pull-out in short fibre composite fracture |
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Authors: | X W Ng D W L Hukins and K L Goh |
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Affiliation: | (1) School of Materials Science and Engineering, Nanyang Technological University, Singapore, 637457, Singapore;(2) School of Mechanical Engineering, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK;(3) School of Engineering, Monash University, Bandar Sunway, 46150 Selangor Darul Ehsan, Malaysia; |
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Abstract: | A model has been formulated to determine the work of pull-out, U, of an elastic fibre as it shear-slides out of a plastic matrix in a fractured composite. The fibres considered in the analysis
have the following shapes: uniform cylinder and ellipsoidal, paraboloidal or conical tapers. Energy transfer at the fibre–matrix
interface is described by an energy density parameter which is defined as the ratio of U to the fibre surface area. The model predicts that the energy required to pull out a tapered fibre is small because the energy
transfer at the fibre–matrix interface to overcome friction is small. In contrast, the pull-out energy of a uniform cylindrical
fibre is large because the energy transfer is large. The pull-out energies of the paraboloidal and ellipsoidal fibres lay
between those for the uniform cylindrical and the conical fibres. With the exception of the uniform cylindrical fibre which
yields a constant energy density, tapered fibres yield expressions for the energy density which depend on the fibre axial
ratio, q. In particular, the energy density increases as q increases but converges at large q. By defining the critical axial ratio, q
0, as the limit beyond which u is independent of the fibre slenderness, our model predicts the value of q
0 to be about 10. These results are applied to explain the mechanisms regulating fibre composite fracture. |
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