Eu. Okoroafor et R. Hill, INVESTIGATION OF COMPLEX FAILURE MODES IN FIBER-BUNDLES DURING DYNAMIC-MECHANICAL TESTING USING ACOUSTIC-EMISSION AND WEIBULL STATISTICS, Journal of Materials Science, 30(17), 1995, pp. 4233-4243
Mechanical strength studies have been carried out on fibre bundles use
d in composite manufacture. Logarithmic Weibull plots derived from dyn
amic fibre bundle tensile tests, involving acoustic emission (AE) tech
niques are not linear over the entire fibre bundle failure strain rang
e. This makes it impossible to use the two-parameter Weibull strength
distribution function to describe fully a fibre bundle response in dyn
amic situations. The plots exhibit portions of different slopes, with
no sharp boundaries demarcating them. This is attributed to the overla
pping of the various fibre failure modes occurring with increasing fib
re bundle strain. AE event-strain (fibre failure) analysis showed that
with increasing strain, the fibre failure mode changes from predomina
ntly singlets (a single-fibre failure at a time) to doublets (simultan
eous failure of two fibres), and then higher multiple fibre failure mo
des. The various failure modes overlap about the maximum fibre bundle
stress, and each multiple fibre failure mode contributes towards the c
ombined Weibull plot with a slope of the corresponding multiple of the
slope due to the singlet fibre failure mode. In the light of these ob
servations, we have modified the two-parameter Weibull function, which
is valid only when singlets are dominant, to include contributions fr
om higher order fibre failure modes for a better description of fibre
bundles dynamic stress-strain responses. The fit between theory and ex
perimental data appears to confirm the role played by the higher order
fibre failure modes in changing the slope of the Weibull plots and in
defining the shape of the fibre bundle stress-strain response, partic
ularly about and beyond the maximum bundle stress position.