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Shear‐Lag Analysis of Fiber Push‐Out (Indentation) Tests for Estimating Interfacial Friction Stress in Ceramic‐Matrix Composites
Author(s) -
Shetty Dinesh K.
Publication year - 1988
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1988.tb05843.x
Subject(s) - materials science , composite material , ceramic , ceramic matrix composite , fiber , residual stress , shear (geology) , indentation , shear stress , stress (linguistics) , finite element method , structural engineering , philosophy , linguistics , engineering
A shear‐lag analysis is presented for estimating sliding friction stress at fiber‐matrix interfaces in ceramic‐matrix composites using the single‐fiber push‐out test. The analysis includes an approximate correction for the increased interfacial compression and, therefore, the interfacial friction stress arising from the transverse (Poisson) expansion of the fibers subjected to the compressive load. An exponential decrease of the interfacial shear stress along the fiber length is predicted. This result is similar to the results of a finite‐element analysis reported in the literature. The analysis also provides a basis for the experimental determination of a coefficient of interfacial friction (μ) and a residual interfacial compression (σ 0 ). It is shown that the sliding friction stress (τ f =μσ 0 ) can be overestimated if the transverse expansion of the fibers is not taken into account.