Elastic moduli of nanocrystallites in carbon fibers measured by in-situ X-ray microbeam diffraction

The in-plane Young's modulus and the shear modulus of carbon nanocrystallites were investigated during in-situ tension tests of single carbon fibers by X-ray diffraction using the shift of the 10 band in the meridional direction and the change in the azimuthal width of the 002 reflection. The limiting value for the Young's modulus was found to be 1140 GPa, which is higher than the value for graphite obtained from macroscopic specimens, but coincides with recent measurements on nanotubes. Furthermore, the shear modulus was evaluated using a uniform stress approach and was found to increase with increasing misorientation of the crystallites. It turns out that both the in-plane Young's modulus and the shear modulus are not constant, but dependent on the orientation parameter. (C) 2002 Elsevier Science Ltd. All rights reserved.