Atomic-scale study of dislocation mobility in MOX fuel

The transition to carbon neutrality requires a rapid increase in low-carbon energy sources, including nuclear power, which necessitates a deep understanding of irradiated materials. Mixed oxide (MOX) fuel is particularly important as it optimizes the use of nuclear resources and reduces radioactive waste. The mechanical behavior of MOX under irradiation is crucial for ensuring the integrity of the fuel under various operating conditions.

The objective of this thesis is to perform atomistic simulations to understand dislocation mobility, essential for supporting multiscale modeling of the mechanical behavior of MOX. Molecular dynamics calculations will analyze dislocation mobility under different conditions of temperature, stress, plutonium content, and stoichiometric deviations, with the aim of establishing velocity laws. The results of these simulations will enhance micromechanical modeling within the CEA’s PLEIADES simulation platform, which is dedicated to simulating the complete lifecycle of nuclear fuel, from its fabrication to its storage.

The doctoral student will be based at the Fuel Behavior Modeling Laboratory in Cadarache, a dynamic environment with 11 permanent researchers and an equal number of doctoral students. Located in Provence, this center offers a pleasant working environment between the Verdon and Lubéron natural parks. The thesis will be carried out in collaboration with IM2NP, a leading laboratory in materials physics research.

The candidate should have a strong background in materials physics, ideally with experience in small-scale mechanics. These skills can be further developed during an M2 internship at the laboratory. The doctoral student will have the opportunity to present their work through scientific publications and at international conferences, opening up career opportunities in both research and industry.

Multi-scale modeling of hydrogen diffusion in Ni polycristals

In many applications metallic structural materials face hydrogen-containing environment and at some point the hydrogen enters the metal leading to mechanical properties deterioration and eventually to rupture. The mechanisms of hydrogen embrittlement have been widely studied. Yet, a general, predictive and quantitative model of these phenomena is still missing. This thesis focuses on hydrogen segregation at grain boundaries which is one of the mechanisms identified in hydrogen embrittlement. We aim at modeling the kinetics of the segregation process starting down from the atomic scale. In order to do this, we need to find the equilibrium structures of grain boundaries, identify the segregation sites for each grain boundary and then quantify how each grain boundary affects the diffusion coefficient of hydrogen. All this data will then be fed to a finite element model whose purpose is to compute hydrogen distribution in a polycristalline sample as a function of time, accounting for the specific properties of each grain boundary. These results will be compared with hydrogen permeation experiments which give access to an effective diffusion coefficient, as well as measures localized around a single grain boundary (PANI and SKPFM methods).

Understanding helium trapping mechanisms in new nickel-based alloy grades developed for molten salt reactors

Nickel-based alloys are structural materials of choice for Molten Salt Reactors (MSRs). They offer excellent mechanical properties and good corrosion resistance. In these materials, helium production, mainly caused by the transmutation of nickel by fast neutrons, can reach levels sufficient to strongly embrittle the material or cause it to swell under irradiation. Helium is hardly soluble in the material, and condenses in the form of bubbles or segregates at grain boundaries. To limit these phenomena and successfully trap the helium, one solution is to introduce into the material to be irradiated a high density of nanoprecipitates, whose interfaces will serve as germination sites for nanometric bubbles capable of trapping the helium atoms, preventing the latter from migrating to the grain boundaries and degrading the material's performance. Corrected transmission electron microscopy will be used to study the precipitation kinetics of the thermodynamically expected phases, as well as the atomic structure of the interfaces formed between the precipitates and the matrix. A phase-field simulation of precipitation will also be considered. Finally, the He trapping mechanisms at the interfaces will be studied using electron energy loss spectroscopy (EELS).

Structure and mobility of unterstitial clusters and loops in uranium oxide

Uranium oxide (UO2) is the usual fuel used in nuclear fission power plants. As such, its behaviour under irradiation has been extensively studied. Irradiation creates vacancies or interstitial defects that control the evolution of the material's microstructure, which in turn impacts its physical (e.g. thermal conductivity) and mechanical properties. Interstitial clusters in particular play a major role.
On the one hand, at the smallest sizes, the diffusion of interstitials in UO2 is still relatively poorly understood. Experimentally, we observe the appearance of dislocation loops made up of interstitials as large as ten nanometres. Conversely, no cavities are observed and the vacancy defects remain sub-nanometric in size. This indicates that interstitials diffuse more rapidly than vacancies, with diffusion allowing interstitials to agglomerate and form loops. However, atomic-scale calculations show no major difference between the diffusion coefficients of vacancies and interstitials in UO2. One hypothesis to explain this apparent contradiction is that interstitial clusters diffuse rapidly (Garmon, Liu et al. 2023).
On the other hand, the three-dimensional interstitial clusters are expected to be the seeds of the dislocation loops observed by transmission electron microscopy in irradiated uranium oxide. However, the mechanisms by which the aggregates transform into loops and the nature of the loops changes remain poorly understood in uranium oxide. These mechanisms have very recently been elucidated for face-centred cubic metals (Jourdan, Goryaeva et al. 2024). It is possible that comparable mechanisms are at work in UO2 with the complication induced by the existence of two sub-lattices.
We therefore propose to study interstitial clusters in UO2 using atomic-scale simulations.
We will first study the structure of these three-dimensional subnanometric clusters. To do this, we will use artificial intelligence tools for classifying defect structures developed in the laboratory (Goryaeva, Lapointe et al. 2020). We will study the diffusion of these objects using molecular dynamics and automatic searches for migration saddle points using kinetic-ART type tools (Béland, Brommer et al. 2011). Secondly, we will study the relative stability of 3D clusters and loops of faulted and perfect dislocations and the transformations between these different objects.
This study will be based on interatomic interaction potentials. We will start by using empirical potentials available in the literature before turning to Machine Learning-type potentials (Dubois, Tranchida et al. 2024) under development at the CEA Cadarache Fuel Studies Department.

Béland, L. K., et al. (2011). ‘Kinetic activation-relaxation technique.’ Physical Review E 84(4): 046704.

Chartier, A., et al. (2016). ‘Early stages of irradiation induced dislocations in urania.’ Applied Physics Letters 109(18).

Dubois, E. T., et al. (2024). ‘Atomistic simulations of nuclear fuel UO2 with machine learning interatomic potentials.’ Physical Review Materials 8(2).

Garmon, A., et al. (2023). ‘Diffusion of small anti-Schottky clusters in UO2.’ Journal of Nuclear Materials 585: 154630.

Goryaeva, A. M., et al. (2020). ‘Reinforcing materials modelling by encoding the structures of defects in crystalline solids into distortion scores.’ Nature Communications 11(1).

Jourdan, T., et al. (2024). ‘Preferential Nucleation of Dislocation Loops under Stress Explained by A15 Frank-Kasper Nanophases in Aluminum.’ Physical Review Letters 132(22).

Atomistic modeling of fracture in heterogeneous borosilicate glasses

Heterogeneous borosilicate-based glasses contain crystalline or amorphous precipitates forming secondary phases embedded within the glass matrix. These materials are valued for their high thermal shock resistance and excellent chemical durability, making them ideal for various applications such as cookware and laboratory equipment. In particular, within the nuclear industry, many wasteforms effectively function as glass-ceramics due to the presence of elements that form precipitates.

It is well known that secondary phases can significantly affect mechanical properties, particularly fracture toughness. However, the specific mechanisms by which they influence mechanical properties at the atomic scale remain poorly understood. In particular, whether they are crystalline or amorphous and the structure of their interface with the bulk glass are expected to play a crucial role.

The primary aim of this project is to investigate the specific mechanisms by which precipitates influence mechanical properties at the atomic scale.
Additionally, it seeks to understand how these precipitates affect crack propagation.
For this purpose, numerical modelling tools based on molecular dynamics will be employed.
This technique simulates the behaviour of individual atoms over time under different testing conditions.
Thus, it enables probing the local structure of crack tips and how they interact with precipitates at the atomic level, providing valuable insights into the mechanisms underlying crack resistance in heterogeneous glasses.

Effect of microstructure and irradiation on susceptibility to intergranular cracking of alloy 718 in PWR environment.

Alloy 718, a nickel-based alloy, is used in fuel assemblies for pressurized water reactors (PWRs). In service, these components are subjected to high mechanical stress, neutron irradiation and exposure to the primary environment. Usually, this alloy shows very good resistance to intergranular cracking. However, there are microstructural and/or irradiation conditions which, by modifying the mechanical properties and plasticity mechanisms, make the material susceptible to intergranular cracking in the primary PWR environment.

In this context, the aim of this thesis will be to study the influence of microstructure (via different heat treatments) and irradiation on deformation localization and susceptibility to intergranular cracking in primary PWR media.

To this end, two grades will be tested, one deemed sensitive and the other not. In-situ SEM tensile tests on samples whose microstructure has been previously characterized by EBSD will be carried out to identify the types of intra- and intergranular deformation localization and their evolution. The non-irradiated state will be characterized as the reference state. In addition, exposure and intergranular cracking tests in the primary medium (coupons, slow tension, etc.) will be carried out on both grades and at different irradiation levels. The microstructure as well as surface and intergranular oxidation of the specimens will be characterized by various microscopy techniques (SEM, EBSD, FIB and transmission electron microscopy).

This thesis constitutes for the candidate the opportunity to address a problem of durability of metallic materials in their environment following a multidisciplinary scientific approach combining metallurgy, mechanics and physico-chemistry and based on the use of various cutting-edge techniques available at the CEA. The skills that he will thus acquire can therefore be valued during the rest of his career in the industry (including non-nuclear) or in academic institutions.

Theoretical study of the physical and optical properties of some titanium oxide surfaces for greenhouse gas sensing applications

The international community is engaged in developing the policy to reduce greenhouse gases (GHGs) emission, in particular carbon dioxide (CO2), in order to reduce the risks associated to the global warming. Consequently, it is very important to find low-cost processes to dissociate and then capture carbon dioxide (CO2), as well as to develop low power, high performance sensors suitable to monitor GHGs reductions.A common and existing method for sensing the concentration of gases is achieved by using semiconducting metal oxides surfaces (MOS) like SnO2, ZnO, and TiO2. Moreover, one route to achieve CO2 dissociation is plasma assisted catalytic decomposition. However, surface defects, and in particular oxygen vacancies and charged trapped therein, play an important role in the (photo)reactivity of MOS. The way optical properties of surfaces are modified by such defects is not completely understood, nor is the additional effect of the presence of the gas. In some models, the importance of charge transfer is also emphasized.

In this Ph.D. work, theoretical methods will be used to model the surface with defects and predict the optical properties. The objective is threefold: To apply the theoretical frameworks developed at LSI for the study of defects to predict the defect charge states in bulk; To study the effect of the surface on the defect stability; to study bulk and surface optical properties, and find out spectroscopic fingerprints of the molecular absorption and dissociation near to the surface. Materials/gas under considerations are oxides like titanium oxide, eventually deposited on a layer on gold, and carbon dioxide. The theoretical method will be the time dependent density functional perturbation theory method (TDDFPT) developed at LSI in collaboration with SISSA, Trieste (Italy).

Ref.: I. Timrov, N. Vast, R. Gebauer, S. Baroni, Computer Physics Communications 196, 460 (2015).

Multiphysics modeling of fission gas behavior and microstructure evolution of nuclear fuels

The climate crisis demands urgent action and a rapid shift towards carbon-free technologies. This requires the development of advanced materials for more efficient electricity production and storage, including innovation in nuclear reactor fuels. To enhance the safety and efficiency of both current and future nuclear power plants, it is crucial to understand and predict fuel behavior under operating and accidental conditions.

A critical issue is related to fission gases produced upon nuclear fissions. These gases have low solubility and form small bubbles that grow from nanoscale to microscale during fuel operation, significantly impacting the fuel's overall properties. While experimental characterization is essential, numerical simulations complement this work by modeling bubble formation and growth, as well as the consequences in terms of changes in fuel properties. This approach is key to the design of next-generation, high-performance nuclear fuels.

This PhD project aims to advance simulation models for fission gas behavior within the polycrystalline structure of nuclear fuels, with a particular focus on uranium oxides. The PhD student will develop a physical model using the phase-field method, compute necessary input parameters, and conduct numerical simulations that replicate irradiation experiments performed in our department. Direct comparison between simulation results and experimental data will enable deeper insights into the underlying physics of gas behavior, including bubble formation, gas release, and fuel swelling. Additionally, this project will serve as validation for the INFERNO scientific code that will be used for these simulations on national supercomputers.

The research will be conducted at the Nuclear Fuel Department (DEC) of the IRESNE Institute(CEA-Cadarache), in collaboration with CEA fuel modeling and experimental characterization experts. The PhD student will have opportunities to share their findings through scientific publications and presentations at international conferences. Throughout the project, they will develop expertise in multiphysics modeling, numerical simulations, and scientific computing. These highly transferable skills will prepare them for a successful career in academic research, industrial R&D, or materials engineering.

References :
https://doi.org/10.1063/5.0105072
https://doi.org/10.1016/j.commatsci.2019.01.019

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