The single crystal superalloy PWA 1484 is used in hot section turbine blade applications due to its performance at high temperatures. In practice, the turbine blades are often coated in order to protect them from environmental degradation. However, under repeated cyclic loading, the coating may serve as a site for crack initiation in the blades. Fundamental out-of-phase (OP) thermo-mechanical fatigue (TMF) studies, primarily using uncoated solid cylindrical test samples, have previously examined both crack initiation and propagation in PWA 1484. In this work, mechanical strain-controlled OP TMF tests were performed on coated and uncoated specimens of a hollow cylindrical geometry in order to study the effects of both geometry and coating on the TMF crack initiation behavior. To accomplish this, it was necessary to create and analyze a modified gripping mechanism due to the unique geometry of the test samples, and as predicted by hand calculations and finite element analysis, these modifications proved to be successful. The TMF test results for the uncoated material were compared to those from previous studies under the same testing conditions, and it was found that the differences in geometry had a minimal impact on fatigue life. Comparisons of the results for the coated and uncoated material suggested that the coating may have offered a slight improvement in life, although insufficient results were available to determine whether these differences were statistically significant. Damage mechanisms resulting from different test conditions were also observed through microscopy on failed specimens.

Les revêtements barrières thermiques sont de plus en plus employés dans l'industrie afm d'accroître lesperformances thermiques et de diminuer les émissions de NOx des turbines aéronautiques et de générationd'électricité. Au cours de cette étude, le système constitué d'un substrat en superalliage base nickelmono cristallin AMI, d'une sous-couche NiAlPt et d'une barrière thermique en zircone yttriée élaborée par voieEBPVD (Electron Bearn Phase Vapor Deposition) a été étudié. Le but de cette thèse était de caractériser lesmodes d'endommagements en conditions représentatives de celles rencontrées en service sur le profil des aubesde turbines hautes pressions. Pour pallier au manque de données dans la littérature ouverte, des essais à différentsniveaux de température et de chargement mécanique ont été réalisés avec pour objectif de découpler les diversmodes d'endommagement qui entrent en jeu dans la ruine des barrières thermiques. Ces essais mécaniques detype fluage isotherme, fluage cyclé thermiquement, fatigue oligocyclique et fatigue avec temps de maintien ontété réalisés dans la gamme de température 950°C-1200°C avec des moyens d'essais classiques de laboratoire. Ilsont permis de mettre en évidence l'impact du chargement mécanique sur la cinétique de croissance de la couched'alumine inter faciale à llOO°C(notamment en fluage) mais aussi le délaminage à l'interface sous-coucheinterne/sous-couche externe en conditions de forte vitesse de déformation viscoplastique du substrat et le rôlemajeur de l'interdiffusion entre sous-couche et substrat sur la durée de vie en fatigue oligocyclique à 950°C. Desessais technologiques ont aussi été réalisés sur le banc MAATRE. / Thermal barrier coatings are widely used in the industry to enhance thermal performances and to decrease NOxemissions of aeronautic gas and electricity generating turbines. During this study, the system consisting of asingle crystal nickel based superalloy AMI (substrate), of a NiAIPt bondcoat and an yttria-stabilized zirconiatopcoat made by columnar EBPVD (Electron Bearn Phase Vapor Deposition) was studied. The aim ofthis thesiswas to characterize the damage mechanisms in conditions representative of those encountered in service on theprofile of high pressure turbine blades. To overcome the lack of data in the open literature, tests at differentlevels oftemperature and mechanicalloading has been made with the aim to decouple the various damage modesthat are involved in degradation of thermal barrier coatings. Thermomechanical testings such as isothermal creeptests, thermally cycled creep tests, low cycle fatigue with or without holding time have been made in thetemperature range 950°C-1200°C with conventional laboratory testing methods. They allowed to demonstratethe impact of the mechanical loading on the oxidation kinetics of the thermally grown oxide at IIOO°C(particularly during creep tests) but also a new delamination mode in the bond coat (near process defaults) in caseof high viscoplastic deformation rate of the substrate and the major role of interdiffusion between bondcoat andsubstrate on the low cyclic fatigue lifetime at 950°C. Finally, technological testings have also been realized onthe MAA TRE test bench.

Turbine engine blades are subjected to extreme conditions characterized by significant and simultaneous excursions in both stress and temperature. These conditions promote thermo-mechanical fatigue (TMF) crack growth which can significantly reduce component design life beyond that which would be predicted from isothermal/constant load amplitude results. A thorough understanding of the thermo-mechanical fatigue crack behavior in single crystal superalloys is crucial to accurately evaluate component life to ensure reliable operations without blade fracture through the use of "retirement for cause" (RFC). This research was conducted on PWA1484, a single crystal superalloy used by Pratt & Whitney for turbine blades. Initially, an isothermal constant amplitude fatigue crack growth rate database was developed, filling a void that currently exists in published literature. Through additional experimental testing, fractography, and modeling, the effects of temperature interactions, load interactions, oxidation and secondary crystallographic orientation on the fatigue crack growth rate and the underlying mechanisms responsible were determined. As is typical in published literature, an R Ratio of 0.7 displays faster crack growth when compared to R = 0.1. The effect of temperature on crack growth rate becomes more pronounced as the crack driving force increases. In addition secondary orientation and R Ratio effects on crack growth rate were shown to increase with increasing temperature. Temperature interaction testing between 649°C and 982°C showed that for both R = 0.1 and 0.7, retardation is present at larger alternating cycle blocks and acceleration is present at smaller alternating cycle blocks. This transition from acceleration to retardation occurs between 10 and 20 alternating cycles for R = 0.1 and around 20 alternating cycles for R = 0.7. Load interaction testing showed that when the crack driving force is near KIC the overload size greatly influences whether acceleration or retardation will occur at 982°C. Semi-realistic spectrum testing demonstrated the extreme sensitivity that relative loading levels play on fatigue crack growth life while also calling into question the importance of dwell times. A crack trajectory modeling approach using blade primary and secondary orientations was used to determine whether crack propagation will occur on crystallographic planes or normal to the applied load. Crack plane determination using a scanning electron microscope enabled verification of the crack trajectory modeling approach. The isothermal constant amplitude fatigue crack growth results fills a much needed void in currently available data. While the temperature and load interaction fatigue crack growth results reveal the acceleration and retardation that is present in cracks growing in single crystal turbine blade materials under TMF conditions. This research also provides a deeper understanding of the failure and deformation mechanisms responsible for crack growth during thermo-mechanical fatigue. The crack path trajectory modeling will help enable "Retirement for Cause" to be used for critical turbine engine components, a drastic improvement over the standard "safe-life" calculations while also reducing the risk of catastrophic failure due to "chunk liberation" as a function of time. Leveraging off this work there exists the possibility of developing a "local approach" to define a crack growth forcing function in single crystal superalloys.

In this dissertation the work done in the projects KME-410/502 will be presented.The overall objective in these projects is to evaluate and develop tools for designingagainst fatigue in single-crystal nickel-base superalloys in gas turbines. Experimentshave been done on single-crystal nickel-base superalloy specimens in order toinvestigate the mechanical and fatigue behaviour of the material. The constitutivebehaviour has been modelled and veried by FE-simulations of the experiments.Furthermore, the microstructural degradation during long-time ageing has been investigatedwith respect to the material's yield limit. The eect has been includedin the constitutive model by lowering the resulting yield limit. Moreover, the fatiguecrack initiation of a component has been analysed and modelled by using acritical plane approach in combination with a critical distance method. Finally, asan application, the derived single-crystal model was applied to all the individualgrains in a coarse grained specimen to predict the dispersion in fatigue crack initiationlife depending on random grain distributions. This thesis is divided into three parts. In the rst part the theoretical framework,based upon continuum mechanics, crystal plasticity, the critical plane approachand the critical distance method, is derived. This framework is then used in thesecond part, which consists of six included papers. Finally, in the third part, detailsof the used numerical procedures are presented.

Les propriétés en fatigue à grand et très grand nombre de cycles des superalliages base Ni monogranulaires ont été étudiées à 1000°C sous trois fréquences (0.5, 70 et 20000 Hz) et quatre rapports de charge (-1, 0.05, 0.3, 0.8), en prenant le CMSX-4 comme alliage de référence.Dans un premier temps, le régime de fatigue à très grand nombre de cycles a été étudié à 20 kHz. A R = -1, la fissure fatale s’amorce à chaque fois depuis un pore de fonderie en interne et se propage suivant les plans cristallographiques {111}, pour des durées de vie entre 106 et 109 cycles, et ce malgré la présence d’autres défauts tels que les eutectiques ou carbures. Le procédé d’élaboration, en impactant directement la taille des pores de fonderie, contrôle la durée de vie alors que la microstructure a peu d’influence. A R = 0.8, le fluage contrôle la durée de vie en fatigue gigacyclique, et rend alors ce régime sensible à la microstructure et à la composition chimique de l’alliage. Les essais à très longues durées de vie (> 109 cycles) ont également été caractérisés et ont permis de proposer un mécanisme d’amorçage dans ce régime de fatigue.Dans un second temps, l’influence de la fréquence d’essai sur les endommagements dépendants du temps tels que l’oxydation et le fluage, et leur interaction, a été étudiée. A R ≤ 0, diminuer la fréquence d’essai revient à inhiber la criticité des défauts internes en favorisant l’endommagement en surface par oxydation. A R ≥ 0.8, le fluage est l’endommagement conduisant à la rupture des éprouvettes quelle que soit la fréquence de sollicitation ou la durée de vie. Les rapports de charge intermédiaires présentent une interaction importante entre les endommagements en oxydation, fatigue et fluage en fonction de la fréquence de sollicitation et des conditions de chargement. A partir de ces observations, un modèle d’endommagement a été proposé afin de prédire la durée de vie du CMSX-4 et présente des résultats satisfaisants par rapport aux données expérimentales. / High and very high cycle fatigue properties of Ni-based single crystal superalloys have been studied at 1000°C using three frequencies (0.5, 70, 20000 Hz), four stress ratios (-1, 0.05, 0.3, 0.8) and CMSX-4 alloy as reference.Firstly, the very high cycle fatigue regime (VHCF) has been studied at 20 kHz. At R = -1, fatal crack always initiates between 106 and 109 cycles from an internal casting pore et then propagates in a crystallographic mode, despite the presence of other metallurgical defects such as eutectics and carbides. The elaboration process controls VHCF life under these conditions as it directly affects casting pore size, whereas microstructure has no relevant influence. At R = 0.8, creep controls VHCF life and makes this regime sensitive to microstructure and alloy’s chemical composition. Long term tests (> 109 cycles) have also been characterized and have enabled to propose a crack initiation mechanism operating in the VHCF regime.Secondly, the influence of frequency on time-dependent damages such as oxidation and creep, and their interaction, has been studied. At R ≤ 0, reducing frequency inhibits the harmfulness of internal critical defects by promoting oxidation surface damage. At R ≥ 0.8, creep damage leads to specimens rupture for all frequency test and loading conditions. Intermediate stress ratios present an important interaction between oxidation, fatigue and creep damage according to the frequency and loading conditions. Based on these observations, a damage model that predicts CMSX-4 fatigue life has been proposed and presents satisfying results in comparison to experimental data.

Les pales de turbine Haute Pression des turbines d'hélicoptères sont soumises à des sollicitations cycliques, thermiques et mécaniques, complexes. L'objectif de ce travail est de caractériser l'influence du cyclage thermique sur le comportement et l'endommagement en fluage de systèmes MCrAlY/superalliage à base de nickel et d'étudier les interactions entre le substrat et le revêtement à haute température. Dans un premier temps, des essais de vieillissement et de fluage isothermes ont été menés afin d'évaluer les dégradations environnementales et mécaniques de systèmes superalliage monocristallin CMSX-4/revêtement NiCoCrAlYTa, déposé selon différents procédés (codéposition électrolytique, projection HVOF). Ces essais de vieillissement isotherme et l'analyse microstructurale qui a été réalisée ont notamment permis d'évaluer le pouvoir protecteur des revêtements entre 950 et 1150°C. Des diagrammes d’occurrence de phases représentatifs de l'état de dégradation de ces revêtements ont été construits et ont montré une équivalence des deux procédés vis-à-vis de la protection du superalliage. Les essais de fluage isotherme ont ensuite confirmé cette équivalence et ont constitué une référence pour les essais de fluage cyclés thermiquement. La comparaison des essais de vieillissement et fluage isothermes a également montré que l’épaisseur de la zone d’interdiffusion entre le superalliage et le revêtement était indépendante de l’application d’une contrainte. Dans un second temps, une étude approfondie de l'influence du cyclage thermique sur le comportement en fluage à 1150°C des superalliages a été menée tout d'abord sur le superalliage MC2, pour évaluer l'effet des paramètres qui caractérisent les cycles thermiques (durée du palier à haute température, vitesses de refroidissement, effet de la température basse du cycle). L'effet du cyclage sur la vitesse de déformation et sur la durée de vie à rupture a été confirmé, et le rôle de la répétition des cycles thermiques sur l'accélération prématurée de l'endommagement de la structure du substrat et la déformation accrue a été mis en évidence. Enfin, le comportement en fluage cyclé thermiquement du système CMSX-4/NiCoCrAlYTa déposé par codéposition électrolytique a été caractérisé aux températures 1050 et 1150°C. Pour ces différentes conditions, particulièrement à 1150°C, il a de nouveau été montré sur ce matériau que les séquences rapides et successives de dissolution - re-précipitation de la phase γ' induisaient une accélération et une généralisation dans le substrat de la déstabilisation de la morphologie en radeaux. Dans une moindre mesure, il a également été montré que le cyclage thermique affecte la zone d'interdiffusion plus en profondeur dans le substrat. / Turbine blades of helicopters are subjected to complex thermal and mechanical cycles. The purpose of this work is to characterize the influence of the thermal cycling on high temperature creep behaviour and damage of MCrAlY coating / single crystal nickel-based superalloys systems, and to study the interactions between the superalloy and the coating. Firstly oxidation and isothermal creep tests have been performed to measure the environmental and mechanical resistance of systems made of CMSX-4 superalloy / NiCoCrAlYTa coating deposited by several processes (Tribomet process and HVOF spraying). Microstructure and chemical composition of both coatings were examined after oxidation and creep testing and quite similar observations were made for both coating processes. The combination of phases and chemical analysis after oxidation testing allowed the establishment of an occurrence diagram of phases for both coating processes, according to temperature and duration of exposure. The obtained diagrams seemed similar for both processes. Finally both processes appeared to be equivalent for the protection of CMSX-4 superalloy in isothermal oxidation and creep conditions. Moreover the growth of the inderdiffusion zone between coating and superalloy is independent of the stress. Secondly the influence of thermal cycling parameters on creep properties of the MC2 single crystal nickel-based superalloy has been studied at 1150°C and 80MPa.We have demonstrated that thermal cycling creep was more damaging than isothermal creep in terms of creep lifetime and rates. Furthermore, the number of low temperature incursions and low cooling and heating rates have severe detrimental effect on creep resistance, whereas the low temperature value of the thermal cycle is not significant. These results specify the role of re-precipitation and dissolution of γ’ particles during thermal cycling creep. Finally the effect of thermal cycling on high temperature creep of thin-walled and coated CMSX-4 single crystal superalloy was evaluated by performing thermal cycling and isothermal creep tests at 1050°C and 1150°C. The deleterious effect of thermal cycling on the creep behavior and lifetime has been confirmed, particularly for the condition at 1150°C and 80 MPa. Furthermore, the number of low temperature incursions has severe detrimental effect on creep resistance on account of the rafted microstructure destabilization induced by these sequences. These results confirm the role of re-precipitation and dissolution of γ’ particles during thermal cycling creep. Thermal cycling infers also on destabilization of subcoating zone in the superalloy but this effect seems to be secondary.