An Analysis of Singularity in Single Fibre Pull-Out Test Using BEM

Y. Dai, J. K. Kim, X. Ji, S. T. Xue

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 axisymmetrical 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, αr and τrz, are singular at the fiber entry and the embedded fiber end, and vary linearly with the axial distance, z, in a log-log plot. It is proposed that the stress components, σr and τrz, 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.

Original languageBritish English
Pages (from-to)595-600
Number of pages6
JournalKey Engineering Materials
StatePublished - 1998


  • Boundary Element Method
  • Fiber Pull-Out
  • Interface Stresses
  • Singularity Exponent
  • Stress Singularity


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