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FIFTH CANADIAN CONFERENCE ON NONDESTRUCTIVE ... - IAEA

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- 391 -<br />

directions around the circumference is the reverse of the longitudinal strain<br />

and about 25% of its value. It appears that the relationship between the<br />

strains,<br />

given by<br />

EL, ER, £H in the longitudinal, radial and hoop directions is<br />

£ R<br />

V V<br />

where v is Poisson's ratio, which for Incoloy-800 lies between 0.28 and 0.34<br />

[6] . If we assume that the strains are uniaxial the residual stress may be<br />

obtained by making use of Young's moduli derived from X--ray measurements. The<br />

residual stresses measured with neutrons are roughly 1.5 times those derived<br />

from X-ray diffraction on the same tube. This may indicate major gradients<br />

through the wall or surface relaxation effects. It is clear from these<br />

measurements that neutrons are an excellent diagnostic tool for measuring the<br />

residual elastic strain in engineering components, capable of giving Important<br />

insights Into the mechanical behaviour of deformed metals.<br />

3.3 Texture measurements<br />

Measurements of crystallographic texture by neutron diffraction are not particularly<br />

new. For a recent review, see Bunge [7] . However, they have major<br />

advantages since the number of grains sampled by a neutron beam Is much larger<br />

than with typical X-ray beams. There are few geometrical constraints for most<br />

materials and it is often possible to place an entire component in the neutron<br />

beam.<br />

3.4 Measurement of second phases in materials<br />

The existence of second phases often controls the strength and fracture<br />

behaviour of materials. The sensitivity of neutrons to second phase material<br />

is often higher than X-rays partly because the signal is an average over many<br />

grains, and partly because the light element constituents of many precipitates,<br />

such as carbon, nitrogen and oxygen, have scattering cross sections that are<br />

just as large as most metals or other materials of interest to the engineer.<br />

Detection of volume fractions less than 1% is fairly routine. As an example of<br />

a recent application of neutron diffraction, Windsor et al. [8] have studied<br />

the development of fee second phase material in bec maraging steels.<br />

3.5 Small angle scattering of neutrons<br />

Small angle scattering relies on an effective contrast in scattering between<br />

the matrix and the embedded "small particles" that are the objects of interest.<br />

The sizes of small particles in the range 10-1000 Â may be readily determined;<br />

they may be lattice distortions around impurity atoms, nucleating phases barely<br />

detectable by other means, small precipitates etc. There is already a large<br />

literature on the technological applications of small angle scattering (see for<br />

example ref. [9]).

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