SYMPOSIA PAPER Published: 01 January 1996

Analysis of Stress Transfer from the Matrix to the Fiber through an Imperfect Interface: Application to Raman Data and the Single-Fiber Fragmentation Test


A new analysis for stress transfer from the fiber to the matrix through an imperfect interface was derived using a Bessel-Fourier series. The new analysis is specific to the fragmentation test. It satisfies equilibrium and compatibility everywhere and satisfies most boundary conditions exactly. The only approximation is the axial stress boundary condition in the fiber which is satisfied in an averaged sense rather than exactly. Two important advantages of the stress transfer analysis are that it can analyze anisotropic fibers and it can include imperfect interfaces or interphases. Theoretical predictions of stress transfer were compared to experimental Raman spectroscopy results. The predictions agree well with the experiments and they can be used to measure interface properties. The stress transfer analysis was coupled with an interfacial failure criterion to model the fragmentation test. The results of modeling fragmentation data as a function of applied strain suggested new ways of interpreting fragmentation experiments and cast doubt on the relevance of the commonly measured interfacial shear strength.

Author Information

Nairn, JA
Material Science and Engineering, University of Utah, Salt Lake City, UT
Liu, YC
Material Science and Engineering, University of Utah, Salt Lake City, UT
Galiotis, C
University of London, Queen Mary and Westfield College, London, UK
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Developed by Committee: D30
Pages: 47–66
DOI: 10.1520/STP38225S
ISBN-EB: 978-0-8031-5564-0
ISBN-13: 978-0-8031-2046-4