Dl. Dunaway et al., CHARACTERIZING THE CROSS-SECTIONAL GEOMETRY OF THIN, NONCYLINDRICAL, TWISTED FIBERS (SPIDER SILK), Journal of Materials Science, 30(16), 1995, pp. 4161-4170
Quantitative tensile property evaluation of fibres requires accurate c
ross-sectional area measurement at a location close to the point of fa
ilure. Laser diffraction was evaluated as a non-destructive technique
for characterizing the cross-sectional geometry of translucent, non-cy
lindrical, and/or twisted fibres with thicknesses in the range 2-5 mu
m. Forcibly silked major ampullate fibres from Nephila clavipes spider
s were used as specimens. Scanning electron microscopy was used to cal
ibrate the extent to which laser diffraction over- or under-estimates
fibre diameter. For the purpose of area measurement, elliptical or ova
l cross-sections can be treated as though they were circular. We demon
strate mathematically that the area can be obtained to within a few pe
r cent of the true value, if (a) the circle is assigned an ''equivalen
t diameter'' equal to the average of at least four measurements of app
arent diameter, (b) the apparent diameter measurements are taken at eq
ual intervals of fibre rotation through a 180 degrees range, and (c) t
he axial ratio of the cross-section is less than 1.5. The extent to wh
ich a non-cylindrical fibre is twisted can be deduced from the periodi
city of bright and dark regions that alternate along the length of the
fibre in reflected light. Values of cross-sectional ellipticity and a
rea measured from a twisted fibre were smaller than the corresponding
values obtained from a twist-free fibre. The apparent diameter of twis
t-free major ampullate fibre was found to be highly variable - by as m
uch as +/-20% relative to the mean within a 0.6 mm length. Therefore,
local measurements of area, rather than a value derived from fibre den
ier, should be used in tensile property evaluation of this material.