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FIFTH CANADIAN CONFERENCE ON NONDESTRUCTIVE ... - IAEA

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- 449 -<br />

determined experimentally for pipeline steels through the thickness of plate<br />

as well as in the pipe segment described earlier. The procedure for<br />

estimation of a through plate thickness using the pulse reflection method was<br />

described by Krautkramer(9), and will not be repeated here. For X70 pipeline<br />

steel, the attenuation coefficient was found to be equal to 1.09 dB/m while<br />

for X42 steel, the attenuation was much higher with a = 2.125 dB/m.<br />

In the tests on the pipe segment, a wave generator was used to produce<br />

frequencies swept between 01 to 1 MHz. An exciter transducer was connected<br />

with the wave generator. A receiving transducer was placed at specific<br />

distances from the exciter and the signal, after amplification, pass-as<br />

through an R.M.S. voltmeter and is plotted as a function of frequency. The<br />

value of a determined in this test corresponded to 0.89dB/m. This value is<br />

affected by the reflection of the elastic waves in the free ends of the<br />

pipe.<br />

3.3 Theoretical modelling<br />

Significant effort in the theoretical modelling of the acoustic emission<br />

system and its functioning was made. This ranges from modelling the sources<br />

of burst emission in terms of lattice perturbation and dislocation<br />

interaction (Bassim and Wassef(lO)), to the prediction of the stresses and<br />

displacement in a plate due to a propagating crack (Bassim, Wassef and<br />

Tangri(ll)) and finally the prediction of the type and frequency spectre! of<br />

the noise due to the flow of a gas (or fluid) in a circular hole or<br />

rectangular slit (Wassef et al(12)).<br />

The above studies have for general conclusions that acoustic emissiori is<br />

caused by the perturbation of an otherwise perfect lattice to cause phonon<br />

emission. Involved quantum mechanics approach shows that the interaction of<br />

two or more dislocations is capable to producing a phonon emission<br />

corresponding to about 200 KHz which is the range where acoustic emission is<br />

most observed.<br />

Once acoustic emission is produced, its propagation will depend on the<br />

position of the source with respect to the structure and on the relative<br />

dimension of the emitting crack and the rest of the structure. Modelling,<br />

involving spectral representation, Green's functions as well as solutions to<br />

Fredholm integral equations are used to predict the stresses and displacement<br />

fields in a body containing a crack and subjected to a loading. These<br />

predictions give an accurate indication of the type of transducer to be used<br />

in conjunction with a given geometry as well as the most appropriate<br />

transducer configuration to use in a structure.<br />

4. C<strong>ON</strong>CLUSI<strong>ON</strong>S<br />

A summary of a research program which was carried out in conjunction with<br />

development of a new acoustic emission system is presented. The specific<br />

application is the continuous monitoring of pipelines. The program involves<br />

materials studies on pipeline steels, model tests to measure signals

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