12.07.2015 Views

Raman Spectroscopy of nanomaterials - institut de chimie et des ...

Raman Spectroscopy of nanomaterials - institut de chimie et des ...

Raman Spectroscopy of nanomaterials - institut de chimie et des ...

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

(a)ARTICLE IN PRESS+ MODEL40 G. Goua<strong>de</strong>c, Ph. Colomban / Progress in Crystal Growth and Characterization <strong>of</strong> Materialsxx (2007) 1e56Isolated fibrefrom -pol(b)1385D / cm-1G / cm-1160013801375137015951590136515850 50 100 150 200 250Distance along the fibre / µm(c) 0 50 100 150 200 250Stress / a.u.ExperimentsILMo<strong>de</strong>lFig. 23. (a) Optical micrograph <strong>of</strong> an IM7 fibre entering the matrix <strong>of</strong> ‘‘g-pol’’ composite (see text) strained to 1%. (b)Wavenumber variations along the same fibre (origin at fibre tip, l laser ¼ 457.9 nm, P illumination ¼ 1.5 mW). (c) Mo<strong>de</strong>lling<strong>of</strong> n G -<strong>de</strong>rived axial compressive stress along the same fibre (IL, ineffective length) [485]. Reprinted from Ref. [485, pp.646e651] with permission from Elsevier.and in-b<strong>et</strong>ween the graphite planes would be expected to be less specifically sensitive to theloading direction. In Fig. 23c the G wavenumbers have been converted into an axial compressivestress (s f ) and the resulting data were fitted according to the following mo<strong>de</strong>l [365]:ð1 coshðbðð1=2Þ xÞÞÞs f ¼ s max 3:7; b ¼ 1 vffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiu E mt blrrmcoshð1 þ n m ÞE f ln2rwhere x is the position along the fibre <strong>of</strong> length l and radius r, s max is the maximum stress, n m isthe matrix Poisson’s ratio and E f and E m are the fibre and matrix Young’s moduli, respectively.Please cite this article in press as: G. Goua<strong>de</strong>c, Ph. Colomban, Prog. Cryst. Growth Charact. Mater. (2007),doi:10.1016/j.pcrysgrow.2007.01.001ð53Þ

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!