Acoustic microscope schematic and operational modes: (a) schematic of an acoustic microscope; (b) acoustic waves focused on the surface of the specimen in the surface imaging mode; (c) acoustic waves focused below the surface of the sample in the sub-surface imaging mode; (d)the acoustic sensor approaches the sample and the acoustic waves are gradually defocused in the acoustic signature mode. 

Acoustic microscope schematic and operational modes: (a) schematic of an acoustic microscope; (b) acoustic waves focused on the surface of the specimen in the surface imaging mode; (c) acoustic waves focused below the surface of the sample in the sub-surface imaging mode; (d)the acoustic sensor approaches the sample and the acoustic waves are gradually defocused in the acoustic signature mode. 

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Scanning acoustic microscopy is a non-destructive technique that allows determining the local material elastic properties by measuring the velocity of acoustic waves propagating in matter. High frequency acoustic waves are generated by a piezoelectric transducer, focused and then detected by the same transducer after having interacted with the samp...

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... R&D in nuclear forensic science now focuses on developing new approaches that can identify signatures from nuclear and other radioactive materials using fast, inexpensive, non-destructive, and easy-to-use technologies and analytical methods [3,6]. Techniques such as computer vision and image analysis allow rapid determination of morphological and intensity characteristics of objects or complex structures [16][17][18][19][20]. The possible correlation between morphological characteristics of different UOC powders and their processing or production history has recently been investigated as a new nuclear forensic signature. ...
... R&D in nuclear forensic science now focuses on developing new approaches that can identify signatures from nuclear and other radioactive materials using fast, inexpensive, non-destructive, and easy-to-use technologies and analytical methods [3,6]. Techniques such as computer vision and image analysis allow rapid determination of morphological and intensity characteristics of objects or complex structures [16][17][18][19][20]. The possible correlation between morphological characteristics of different UOC powders and their processing or production history has recently been investigated as a new nuclear forensic signature. ...
... Moreover, high burnup fuels are characterised by larger volumes due to the swelling caused by the porosity increase, together with the precipitation of insoluble solid fission products and noble fission gases. This in-reactor matrix volume expansion is about 0.8-1 % per 10 GWd t −1 HM [16][17][18] . The nuclear fuel swelling causes the pellet to enter in contact with the cladding originating pellet-cladding chemical and mechanical interactions (PCI): the fuel becomes progressively bonded to the cladding while oxygen migrates from the pellet to the Zircaloy and an oxide layer progressively forms. ...
... Concerning the properties of the UO 2 , the density of the rim, due to the high burnup structure [61,62] , is entered in the input file as 0.75 times the UO 2 theoretical density (10960 kg m -3 ). The correction factor is derived by inserting a fractional porosity (p) of 0.21 reported in [63] in the empirical correlation introduced in [18,64] : ...
Article
Among the factors influencing the degradation of the spent nuclear fuel cladding in interim dry storage, the irradiation history and the average burnup at discharge must be considered. In fact, due to the pellet-cladding contact particularly affecting high burnup fuels, the inner surface of the cladding becomes increasingly exposed to the damage caused by the alpha decaying actinides present at the rim of the pellet. Moreover, due to the low temperature conditions characteristic of the interim dry storage, thermal recombination of the produced defects is not expected to occur. Here, we investigate the irradiation damage accumulated inside an irradiated Zircaloy-4 cladding 32, 55 and 100 years after the end of irradiation and discharge from the reactor core. The considered cladded UO2 pellet belongs to a Pressurised Water Reactor (PWR) fuel rod consisting of five segments and having an average burnup at discharge of 50.4 GWdtHM−1. The calculations performed with Fluka 2021.2.0 Monte Carlo code show that the volume mostly affected by the irradiation damage corresponds to the ZrO2 layer formed between the pellet and the cladding. The actinides which are responsible for the alpha damage are mainly 242Cm, 244Cm, 241Pu and 238Pu. The recoiling daughter nuclei during the alpha decays produce irradiation damage only within the first μm of oxide layer.
... Contrary to those made in zirconia and Zr, they do not compare well with the measurements of Terrani et al., despite the close indentation depths (around 200 nm): 8 GPa and 120 GPa, respectively. Our measurements are however in good agreement with previous measurements obtained by acoustic microscopy where a mean decrease of Young's modulus from about 220 GPa to 150 GPa was recorded for a burnup increase from 0 to 100 GWd/tU [42][43][44]. Differences with Terrani's works could be related to the location of the measurements: in this study, indentation tests were performed very close to the FCI (at not more than 20 µm from the Zr|ZrO2 interface), while Terrani et al. have performed measurements on the whole pellet radius from which the average values were reported [20]. ...
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... / for the solid swelling per 1% of burnup [1], and a variable amount as a function of burnup for the gaseous case, depending on the local temperature history [6]. At the end of fuel life at typically 5% burnup, the combination of the two effects gives a total decrease of the density of about 6% on average in the whole pellet [8]. The density is not homogeneous within the pellet, both due to local variation of the fission rate and due to the subsequent evolution of the fission gasses produced. ...
Conference Paper
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Nuclear fuel undergoes several thermo-mechanical changes during irradiation in a nuclear reactor, such as change of density, caused by solid and gaseous swelling. This affects the heat transport within the pellet and, when leading to the pellet-cladding gap closure, it also affects the gap conductance, causing stress in the cladding. The density of irradiated fuel pellets can be measured in post-irradiation examination using several methods. In this work, a feasibility study was made using the gamma-ray transmission micro-densitometry technique. This is based on the comparison of two intensity measurements, with and without a sample with well-characterized thickness. Using a collimated source, a local examination of the density can be performed, scanning a pellet slice radially. The proposed technique aims to obtain a spatial resolution of cca. 100 microns. In this work, the parameters of the setup, such as the source activity, detector counting time, slit dimensions, collimator length, and sample thickness, are used to predict detector efficiency and expected count rates. The obtainable precision of the density is assessed by first-order uncertainty propagation of counting errors in the gamma-ray detection to the density estimate. A collimator design was presented that achieves a reasonable compromise between time requirements, precision, and spatial resolution. The sensitivity of the performance to set-up parameters was investigated. In addition, a realistic setup was modelled in MCNP6 for validation of the peak count-rate, and to ensure that the total spectrum count-rate is within typical throughput capabilities of HPGe detectors. The MCNP model was also used to confirm that the assumed attenuation law is valid in a relevant geometry, and to assess the spatial resolution, using the 10-90% edge spread of an Edge Spread Function. It is concluded that fuel density can be determined with <1 % precision, using a 100-micron wide slit, and 1 hour of measurement.
... The onset of recrystallization occurs along preexisting grain boundaries, after which it continues to the grain interior until the grain is consumed [28,29] . Fission gas atoms such as Xe and Kr precipitate into bubbles and have a high affinity for defect locations (i.e., pores formed from the production of voids) [30] . The size of fission gas bubbles is proportional to the absorption rate of fission gas atoms continually produced during fission reactions [30] . ...
... Fission gas atoms such as Xe and Kr precipitate into bubbles and have a high affinity for defect locations (i.e., pores formed from the production of voids) [30] . The size of fission gas bubbles is proportional to the absorption rate of fission gas atoms continually produced during fission reactions [30] . Swelling due to fission gas bubble nucleation is higher in recrystallized fuel [28] . ...
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... In addition to the changing elemental composition of nuclear fuel due to burnup, it is also well known that fuel swelling occurs (Marchetti et al., 2017), (Schrire et al., 1998), (Middleburgh et al., 2012). In accordance with Eq. (1), changes in the density, ρ, will also affect the transmission of gamma-rays through the fuel. ...
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... This point will be further studied in future works. 2) Mechanical properties: Acoustic signatures [5] were realized on the 2 silica elements. Rayleigh velocity and Young modulus estimations are presented in negligible maximum variation of 1% after irradiation. ...
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... Values of 232 GPa and 0.3 were selected, based on the VHR approximation grounded on elastic properties calculations at the density functional theory level [39]. Note that actual elastic properties of irradiated UO 2 may differ from those of the pristine material but the change measured in the fuel at the end of one burning cycle was only ~10 % [40]. Hydrostatic and biaxial stresses are related through the following equation [35]: ...
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... The pellets are modelled as cylindrical solid elements with a flexible stiffness behaviour [11]. Ceramics (pellets) tend to be weak in tension, but strong in compression [15]. Consequently, the ANSYS \cast-iron" material model has been used to describe the pellets constitutive law i. ...
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