Article Article
Evaluation of Solid Cluster in Fe-Cu Alloy by Third-Order Elastic Constants

Nondestructive evaluation for microstructural changes of materials caused by neutron irradiation, which makes the material brittle, is necessary to operate nuclear power plants more safely and efficiently. One of the most important microstructural changes in irradiated materials is the formation of solute atom clusters, which pinned down the dislocations and make materials hard and brittle. In this study, we evaluated solute atom clusters in Fe-Cu alloy specimens by using the nonlinear ultrasonic method. Solute atom clusters were formed by annealing Fe-Cu alloy specimens at 500 ℃ for various lengths of time. These solute atom clusters were observed by the atom probe tomography (APT) and the transmission electron microscope (TEM), and their radius and number densities were evaluated. As a result of cluster analysis, solute atom clusters were not formed in the specimen without annealing, while they were formed in the specimen annealed for 25 hours. In addition to observing solute atom clusters, we also evaluated the acoustoelastic constant (AEC), which is one of the parameters depending on the nonlinearity of the stress-strain relation. The result of the experiment shows that the mean values of AEC were significantly different between the specimen without annealing and the one annealed for 25 hours. This suggests that AEC is sensitive to the formation of solute atom clusters.

References

(1)   Soneda, N., 2015, "Irradiation Embrittlement of Reactor Pressure Vessels (RPVs) in Nuclear 

Power Plants Preface, Woodhead Publishing Series in Energy, 26," (Elsevier, 2015).

(2)   Acosta, B. and Sevini, F., 2004, "Evaluation of irradiation damage effect by applying 

electric properties based techniques," Nuclear Engineering and Design, 229(2–3), pp 165–173.

(3)   Coste, J. F. et al., 1997, "Application of thermoelectricity to NDE of thermally aged cast 

duplex stainless steels and neutron irradiated ferritic steels - EDF report,".

(4)   Hurley, D. C., Balzar, D. and Purtscher, P. T., 2000, "Nonlinear ultrasonic assessment of 

precipitation hardening in ASTM A710 steel," Journal of Materials Research, 15(9), pp 2036–2042.

(5)   Matlack, K. H. et al., 2014, "Sensitivity of ultrasonic nonlinearity to irradiated, annealed, 

and re-irradiated microstructure changes in RPV steels," Journal of Nuclear Materials, 448(1–3), pp 

26–32.

(6)   Norris, A. N., 1999, "Finite-Amplitude Waves in Solids," in Nonlinear Acoustics (eds. 

Hamilton, Mark, F. & Blackstock, David, T.) pp 263–277.

(7)   Thurston, R. N. and Brugger, K., 1964, "Third-Order Elastic Constants and the Velocity of 

Small Amplitude Elastic Waves in Homogeneously Stressed Media," Physical Review, 133(6A), pp 

A1604–A1610.

(8)   Toupin, R. A. and Bernstein, B., 1961, "Sound Waves in Deformed Perfectly Elastic Materials. 

Acoustoelastic Effect," The Journal of the Acoustical Society of America, 33(2), pp 216–225.

(9)   Charleux, M., Livet, F., Bley, F., Louchet, F. and Bréchet, Y., 1996, "Thermal ageing of an 

Fe‒Cu alloy: Microstructural evolution and precipitation hardening," Philosophical Magazine A, 

73(4), pp 883–897.

(10)   Barbu, A. et al., 1998, "A comparison of the effect of electron irradiation and of thermal 

aging on the hardness of FeCu binary alloys," Journal of Nuclear Materials, 257(2), pp 206–211.

(11)   Hikata, A., Chick, B. B. and Elbaum, C., 1965, "Dislocation Contribution to the Second 

Harmonic Generation of Ultrasonic Waves," Journal of Applied Physics, 36(1), pp 229–236.

 

 

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