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Title: An analysis of singularity in single fibre pull-out test using BEM
Authors: Dai, Y.
Kim, Jang-Kyo
Ji, X.
Xue, S. T.
Keywords: Fiber pull-out
Boundry element method
Interface stresses
Stress singularity
Singularity exponent
Issue Date: 1998
Citation: Fracture and strength of solids : proceedings of the third International Conference on Fracture and Strength of Solids, Hong Kong, 8-10 December 1997, Trans Tech Pub., Uetikon-Zuerich, Switzerland, 1998, Part 1, p. 595-600
Abstract: The single fibre pull-out test is one of the major mesomechanical methods which are designed to measure the interface properties between the fiber and matrix in composites. An exisymmetrical boundary element method is used for the single fibre composite model to obtain the stress distributions at the fibre-matrix interface. The numerical results show that the interface radial and shear stress components, σr and ζrz, are singular at the fiber entry and the embedded fiber end, and vary linearly with the axial distrance, z, in a log-log plot. It is proposed that the stress components, σr and ζrz, have the form zαFij(θ), where α is the singularity exponent and Fij(θ) is the angular distribution function. It is shown that the singularity exponent depends on the loading geometry of the model and the properties of the composite constituents, especially the Young's modulus ratio of fiber to matrix.
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