Ce travail a été entrepris dans le cadre d’une coopération internationale entre l’Université de Brasilia, l’Agence spatiale brésilienne (AEB), l’ENS Paris-Saclay et le groupe SAFRAN. L’objet principal de cette coopération est l’étude du fretting-fatigue, problème de contact associé à des charges de fatigue qui réduisent considérablement la durée de vie des composants en raison de la concentration élevée de contraintes, de l’usure et des conditions de chargement non proportionnelles. En ce qui concerne les coûts de calcul élevés impliqués dans l’évaluation des applications industrielles, l’un des objectifs de ce travail est d’améliorer les performances des simulations de frettage utilisant une approche d’enrichissement. L'idée est de tirer parti du fait que les champs mécaniques autour des bords de contact dans des configurations de contact cylindriques dans des conditions de frottement sont similaires à ceux trouvés près du fond de fissure dans les problèmes de mécanique de rupture élastique linéaire. Cette similitude rend attrayante l’idée d’enrichir les simulations de frettage par éléments finis via le framework X-FEM, ce qui nous permet de travailler avec des maillages plus grossiers tout en conservant une bonne précision. Comme nous le montrerons dans ce travail, il est possible de travailler avec des maillages jusqu'à 10 fois plus grossiers que si une méthode par élements finis classique était utilisée, permettant une forte amélioration des performances de calcul.Ce travail étudiera également l’influence de la prise en compte des effets de l’usure dans la prévision de la durée de vie en fatigue. Par conséquent, des simulations par éléments finis du fretting-fatigue ont été effectuées en tenant compte de la mise à jour de la géométrie due à l'enlèvement de matière et les résultats ont été comparés aux données expérimentales et aux simulations par éléments finis dans lesquels les effets de l'usure ont été négligés (stratégie simplificatrice généralement adoptée pour évaluer les problèmes de fatigue de frottement). Les critères de fatigue multiaxiaux conventionnels associés à la théorie des distances critiques ont été utilisés pour prédire la vie. Les résultats ont montré que, pour les données évaluées ici, lorsque des essais de fretting-fatigue ont été menés sur un alliage Ti-6Al-4V dans des conditions de glissement partiel, considérer les effets de l'usure pourraient augmenter légèrement la précision des prévisions de durée de vie. Cependant, cette amélioration n’est peut-être pas digne d’intérêt si nous prenons en compte les coûts de calcul élevés dans les analyses d’usure. / This work has been undertaken in the context of an international research cooperation between the University of Brasilia, the Brazilian Space Agency (AEB), the ENS Paris-Saclay and the SAFRAN group. The main subject of this cooperation is the investigation of fretting fatigue, which is a contact problem in conjunction with fatigue loads responsible for reducing considerably components’ fatigue life due to the high stress concentration, wear and non-proportional loading conditions involved in such problems. Regarding the high computational costs involved when assessing industrial applications, one of the aims of this work is to improve the performance of fretting simulations making use of an enrichment approach. The idea is to take advantage of the fact that the mechanical fields around the contact edges in cylindrical contact configurations under fretting conditions are similar to the ones found close to the crack tip in linear elastic fracture mechanics problems. This similarity makes attractive the idea of enriching finite element fretting simulations through the X-FEM framework, which enables us to work with coarser meshes while keeping a good accuracy. As it will be shown in this work, it is possible to work with meshes up to 10 times coarser than it should be if a conventional FE method was used allowing a strong improvement of the computational performances.This work will also investigate the influence of considering wear effects in the prediction of fretting fatigue lives. Therefore, fretting fatigue FE simulations have been carried considering the geometry update due to the material removal and results were compared to both experimental data and FE simulations where wear effects were neglected (simplifying strategy usually adopted when evaluating fretting fatigue problems). Conventional multiaxial fatigue criteria in association with the Theory of Critical Distances have been used in order to predict life. Results have shown that, for the data here assessed, where fretting fatigue tests were conducted on a Ti-6Al-4V alloy under partial slip conditions, considering wear effects might slightly increase the accuracy of life predictions. However, this slight improvement may not be worthwhile regarding the increase in the computational cost when compared to standard approaches where wear is neglected.

No description available.

Ce travail de thèse, en partenariat avec l’entreprise ALSTOM, s’inscrit dans une logique de remplacement de pièces industrielles en alliage métallique par des pièces composites pour l’allègement des structures. L’objectif est de contribuer à l’écriture de règles de dimensionnement permettant au partenaire industriel de certifier des pièces structurales annulaires réalisées en composite à matrice thermoplastique thermostable (TPTS) renforcée par des fibres de carbone pour des applications embarquées sur machine tournante. Il s’agit plus exactement de déterminer la durée de vieen fatigue de ces pièces, en particulier en présence d’endommagement, et lorsque celles -ci sont soumises aux chargements inertiels et thermiques de service.Au cours de ce travail de thèse, une méthodologie a été développée afin de répondre à cette demande. La stratégie a consisté à reproduire,à l’échelle d’éprouvettes de laboratoire, l’état de contrainte multi-axial et l’endommagement auxquels la structure industrielle est soumise, et ce en développant et optimisant un essai de traction sur des éprouvettes annulaires entaillées. Les essais multi axiaux plus classiques mettant en œuvre des sollicitations par pression interne présentent effectivement de nombreux problèmes techniques et sécuritaires lorsqu’ils doivent être mis en œuvre à chaud.Une fois la configuration d’essai sur anneau optimisé par simulation numérique, des essais ont été réalisés afin de confirmer l’apparition des endommagements escomptés à l’aide de techniques de contrôle non-destructif. Les essais cycliques réalisés dans cette configuration ont montré une excellente résistance du matériau en fatigue, en particulier pour un ratio de chargement R de 0.5, proche des conditions de service. Les résultats ont également soulignés le fort potentiel restant de ces structures, même après un grand nombre de cycles de chargement. / The objective of this thesis work, in partnership with ALSTOM Company, is to contribute to the writing of design rules in order to qualify and certify annular structures made of thermostable thermoplastic matrix composite reinforced by carbon fibre. These structures are used in rotating machines for embedded applications.This work proposes an innovative methodology to achieve this goal. It consists in reproducing, at the scale of a laboratory specimen, the multiaxial stress and damage states to which the industrial structure is subjected in-service byoptimizing a tensile test on annular notched specimen. More conventional multiaxial tests, based on internal pressureand tensile loading are particularly unsafe and difficult to be performedwhen implemented at elevated temperature.After the optimisation of the ring configuration by numerical simulation, experimental tests were performed to validatethe appearance of the expected damage under loading. Damage was characterized using non-destructive techniques suchas acoustic emission and infrared thermography. The cyclic tests achieved using this configuration showed high fatiguestrength of this material, in particular for a ratio R of 0.5 (equivalent to thein-service ratio). The results also highlight thegreat remaining strength and rigidity of these structures, even after a large number of cycles.

O uso das ligas de alumínio em aplicações estruturais tem crescido consideravelmente nas últimas décadas. Nos transportes, a baixa massa específica do alumínio resulta em uma alta razão resistência/ peso, favorecendo a fabricação de aviões, trens e automóveis. Com a crescente preocupação em reduzir a emissão de gases poluentes, vem tornando-se promissora a alternativa de reduzir o peso dos veículos substituindo peças convencionalmente produzidas com outros materiais por peças de alumínio. As ligas tratáveis termicamente da série 6xxx são frequentemente escolhidas para estas aplicações. Assim, para que o emprego dessas ligas seja otimizado, é importante um estudo mais detalhado de suas propriedades mecânicas, principalmente sob solicitações cíclicas. Neste trabalho foram estudadas ligas de Al-Si-Mg que são amplamente utilizadas nas indústrias automotivas, em especial na fabricação de componentes de carroçarias para caminhões e ônibus. Foi realizado o estudo do comportamento em fadiga de baixo ciclo e fadiga multiaxial das ligas AA6005 T6, AA6063 T6 e AA6351 T6, fornecidas pela CBA (Companhia Brasileira de Alumínio) visando caracterizar e comparar essas ligas em sua microestrutura, propriedades de tração e fadiga. As propriedades básicas de fadiga foram determinadas por meio do método ε-N (fadiga de baixo ciclo) e os ensaios foram realizados com controle de deformação total, onda triangular e taxa de deformação 0,005 seg-1. As análises dos laços de histerese elasto-plástica permitiram inferir sobre aspectos microestruturais relacionados às propriedades mecânicas das ligas estudadas. O comportamento em fadiga multiaxial foi avaliado por meio de carregamentos combinados axial-torcional em fase e fora de fase. Para ajustar os dados experimentais obtidos, foram testados alguns dos modelos encontrados na literatura. Os cálculos baseados no modelo de plano crítico, proposto por Fatemi e Socie, apresentaram resultados satisfatórios. Também foram realizadas análises microestruturais e fractográficas para as três ligas. As superfícies de fratura dos ensaios de fadiga multiaxial mostraram resultados diferentes de acordo com o carregamento adotado. A avaliação comparativa das três ligas estudadas fornece subsídios para fundamentar a seleção de materiais para a fabricação de componentes estruturais para o setor automotivo. / The use of aluminum alloys in structural applications has grown considerably in recent decades. In transportation, the low density of aluminum results in a high strength-to weight ratio, proving attractive for production of aircrafts, trains and automobiles. With a growing concern for the reduction of pollutant gas emissions, aluminum alloys are becoming a promising alternative to diminish vehicle weight through the replacement of conventionally produced parts made from other heavier materials for aluminum parts. The heat treatable alloys from the 6xxx series are often chosen for these applications. Therefore, to optimize the employment of these alloys, a detailed study of their mechanical properties, primary under cyclic solicitations is necessary For the present study Al-Mg-Si alloys were chosen, which are widely used in automotive industries, particularly in the manufacturing of components for trucks and bus bodies. The low-cycle fatigue behavior and multiaxial fatigue of the three following aluminum alloys: AA6005 T6, AA6063 T6 and AA6351 T6, provided by CBA (Brazilian Aluminum Company), were assessed, with the aim of characterizing and comparing these alloys in their microstructure, tensile properties and fatigue. The basic properties of fatigue were studied by ε-N method (low cycle fatigue) and the experiments were performed with total strain control, triangular waveform and with a constant deformation rate of 5.0x10-3 s-1. The analyses of hysteresis loops elasto-plastic provided insight about microstructural aspects, related to mechanical properties of the studied alloys. Multiaxial fatigue behavior was assessed in combined axial-torsion loading in phase and out of phase. To adjust the experimental data, some models found in the literature were tested. Calculations based on critical plane model, proposed by Fatemi Socie, presented satisfactory results. Furthermore, microstructure analyses and fractography were performed for these three alloys. The fracture surface of multiaxial fatigue assays demonstrated different results according to the adopted loading. Comparative evaluation of the three studied alloys provides support for the selection of materials for manufacturing structural components of the automotive sector.

No description available.

O uso das ligas de alumínio em aplicações estruturais tem crescido consideravelmente nas últimas décadas. Nos transportes, a baixa massa específica do alumínio resulta em uma alta razão resistência/ peso, favorecendo a fabricação de aviões, trens e automóveis. Com a crescente preocupação em reduzir a emissão de gases poluentes, vem tornando-se promissora a alternativa de reduzir o peso dos veículos substituindo peças convencionalmente produzidas com outros materiais por peças de alumínio. As ligas tratáveis termicamente da série 6xxx são frequentemente escolhidas para estas aplicações. Assim, para que o emprego dessas ligas seja otimizado, é importante um estudo mais detalhado de suas propriedades mecânicas, principalmente sob solicitações cíclicas. Neste trabalho foram estudadas ligas de Al-Si-Mg que são amplamente utilizadas nas indústrias automotivas, em especial na fabricação de componentes de carroçarias para caminhões e ônibus. Foi realizado o estudo do comportamento em fadiga de baixo ciclo e fadiga multiaxial das ligas AA6005 T6, AA6063 T6 e AA6351 T6, fornecidas pela CBA (Companhia Brasileira de Alumínio) visando caracterizar e comparar essas ligas em sua microestrutura, propriedades de tração e fadiga. As propriedades básicas de fadiga foram determinadas por meio do método ε-N (fadiga de baixo ciclo) e os ensaios foram realizados com controle de deformação total, onda triangular e taxa de deformação 0,005 seg-1. As análises dos laços de histerese elasto-plástica permitiram inferir sobre aspectos microestruturais relacionados às propriedades mecânicas das ligas estudadas. O comportamento em fadiga multiaxial foi avaliado por meio de carregamentos combinados axial-torcional em fase e fora de fase. Para ajustar os dados experimentais obtidos, foram testados alguns dos modelos encontrados na literatura. Os cálculos baseados no modelo de plano crítico, proposto por Fatemi e Socie, apresentaram resultados satisfatórios. Também foram realizadas análises microestruturais e fractográficas para as três ligas. As superfícies de fratura dos ensaios de fadiga multiaxial mostraram resultados diferentes de acordo com o carregamento adotado. A avaliação comparativa das três ligas estudadas fornece subsídios para fundamentar a seleção de materiais para a fabricação de componentes estruturais para o setor automotivo. / The use of aluminum alloys in structural applications has grown considerably in recent decades. In transportation, the low density of aluminum results in a high strength-to weight ratio, proving attractive for production of aircrafts, trains and automobiles. With a growing concern for the reduction of pollutant gas emissions, aluminum alloys are becoming a promising alternative to diminish vehicle weight through the replacement of conventionally produced parts made from other heavier materials for aluminum parts. The heat treatable alloys from the 6xxx series are often chosen for these applications. Therefore, to optimize the employment of these alloys, a detailed study of their mechanical properties, primary under cyclic solicitations is necessary For the present study Al-Mg-Si alloys were chosen, which are widely used in automotive industries, particularly in the manufacturing of components for trucks and bus bodies. The low-cycle fatigue behavior and multiaxial fatigue of the three following aluminum alloys: AA6005 T6, AA6063 T6 and AA6351 T6, provided by CBA (Brazilian Aluminum Company), were assessed, with the aim of characterizing and comparing these alloys in their microstructure, tensile properties and fatigue. The basic properties of fatigue were studied by ε-N method (low cycle fatigue) and the experiments were performed with total strain control, triangular waveform and with a constant deformation rate of 5.0x10-3 s-1. The analyses of hysteresis loops elasto-plastic provided insight about microstructural aspects, related to mechanical properties of the studied alloys. Multiaxial fatigue behavior was assessed in combined axial-torsion loading in phase and out of phase. To adjust the experimental data, some models found in the literature were tested. Calculations based on critical plane model, proposed by Fatemi Socie, presented satisfactory results. Furthermore, microstructure analyses and fractography were performed for these three alloys. The fracture surface of multiaxial fatigue assays demonstrated different results according to the adopted loading. Comparative evaluation of the three studied alloys provides support for the selection of materials for manufacturing structural components of the automotive sector.

Fatigue analysis is a critical stage in the design of any structural component. Typically fatigue is analysed during post-processing, but as the size of the analysed component increases, the amount of data stored for the analysis increases simultaneously. This increases the computational and memory requirements of the system, intensifying the work load on the engineer. A continuum mechanics approach namely ’Continuous time fatigue model’, for fatigue analysis is available in a prior study which reduces the computational requirements by simultaneously computing fatigue along with the stress. This model implements a moving endurance surface in the stress space along with the damage evolution equation to compute high-cycle fatigue. In this thesis the continuous time fatigue model is compared with conventional model (ie.Cycle counting) to study its feasibility. The thesis also aims to investigate the continuous time fatigue model and an evolved version of the model is developed for non-proportional load cases to identify its limitations and benefits.

No description available.

Ce travail porte sur l’étude du risque d’amorçage de fissure en fretting/fatigue du contact aubes/disque de soufflante en alliage de titane Ti-6Al-4V d’un turboréacteur civil. De part les vibrations du moteur et le passage du flux d’air, le contact aube/disque est sujet à de microdéplacements: le fretting. Ce problème complexe concerne des zones en contact de faibles dimensions subissant des pressions de contact importantes et des micro-déplacements associées à des structures soumises à des chargements eux-mêmes complexes. Des essais de fretting simple, fretting précontraint et fretting fatigue sont réalisés en vue d’identifier les conditions d’amorçage de fissure pour plusieurs géométries présentant des gradients de contraintes différents. Les résultats expérimentaux mettent en évidence l’effet du gradient de contrainte sur l’amorçage. Ainsi, via des essais présentant une gamme étendue de gradient, il a été confirmé que les gradients de contraintes retardent l’initiation de fissure. Une approche non-locale couplée à un critère de fatigue multiaxiale et identifiée sur une unique condition expérimentale de fretting simple a permis la prédiction de l’ensemble des résultats expérimentaux. Ainsi, une méthodologie prédictive des durées de vie à amorçage a été proposée. Cette approche numérique intègre la multiaxialité du chargement, l’effet du gradient des contraintes, la réponse élastoplastique de l’interface et les limites de fatigue en traction/compression et torsion alternée du matériau. L’interface aube/disque grenaillée du moteur subit une alternance de sollicitations de faibles amplitudes générant l’amorçage de fissure, et de grandes amplitudes favorisant l’usure des zones en contact. Le phénomène de compétition usure/fissure a alors été étudié via les courbes en cloches (durée de vie en fonction de l’amplitude de déplacement) ainsi que l’influence des contraintes résiduelles de grenaillage. Une première conclusion sur l’effet bénéfique de l’usure a pu être apportée dans le cas d’un matériau sans traitement de surface. Si les contraintes résiduelles de grenaillage permettent d’apporter un gain notable sur les durées de vie pour des sollicitations de glissement partiel, à l’inverse, il a été observé que le matériau avec le traitement de surface de grenaillage présente des durées de vie plus faibles pour des sollicitations favorisant l’usure. À travers d’essais inédits avec un dispositif expérimental à trois vérins, le chargement complexe de l’interface aube/disque du moteur a pu être reproduit à l’échelle du laboratoire. Ainsi, la durabilité globale du contact représentatif de l’interface aube/disque de soufflante a été étudiée. Une synergie des sollicitations oligocycliques et polycycliques à l’interface a été constatée provoquant des phénomènes de réorganisation de contraintes résiduelles et l’accélération des cinétiques d’usure. Cette étude a montré l’importance de prendre en compte les sollicitations polycycliques dans le dimensionnement des structures aubes/disque. Ces sollicitations couplent les aspects de fatigue « fissuration » aux phénomènes de cumul de dommage et de cinétique d’usure des interfaces. / This work aims at studying the crack initiation risk of a blade/disk contact under fretting/fatigue loading. The fan stage of a civil engine is studied and the material used is a titanium alloy: Ti-6Al-4V. This complex issue concerns small contacts which are subjected to high contact pressures and micro-displacements. Thus, a complex multiaxial loading occurs on the structure. Fretting, static stressed fretting and fretting fatigue testing are performed in order to quantify the crack nucleation thresholds. In addition, several geometries which present different stress gradient values are used. The experimental results show a stress gradient effect on the crack initiation. Thus, using a wide range of stress gradient, it has been confirmed that stress gradient delays crack nucleation. A multiaxial fatigue criterion is used to determine the equivalent stress field under the contact. Then, a non-local approach, identified thanks to one fretting experimental condition, is employed in order to consider the stress gradient effect. This approach provides the prediction of the whole experimental results. In this way, a predictive method of the initiation fatigue life has been introduced. This numerical approach takes into account the multiaxial loading, the stress gradient effect, the plastic-elastic behavior of the interface and the fatigue strength limits of the material. The blade/disk contacts of the engine are shot-peened. During the flight, interfaces are subjected to low displacement amplitudes leading to crack initiation. On the other hand, during landing and take-off, contacts are submitted to high displacement amplitudes leading to the interface wear. As a consequence, competition between wear kinetic and nucleation one is studied and “bell curves” are plotted (i.e. fatigue life time versus displacement amplitude).Moreover, the effect of the shot-peening residual stresses on fatigue life time is observed. In case of un-treated material, a beneficial impact on the fatigue life time is observed due to wear process. Compressive residual stresses of shot-peening increase the fatigue life when fretting/fatigue on partial slip regime occurs. Nevertheless, a decrease of the fatigue life time is observed when wear process is activated by the gross slip condition. Finally, the complex loading of the engine blade/disk contact has been reproduced in the laboratory. To achieve this, a new testing, using an experimental machine composed of three hydraulic actuators is developed. Thus, the global life time of the representative interface of the fan stage is studied. Oligocyclic (low frequency) and polycyclic (high frequency) solicitations interact themselves and lead, firstly, to a rearrangement of the residual stresses, and secondly, to an increase of the wear kinetics. This research work highlights the interest to consider the polycyclic loadings to design the blade/disk structure. These solicitations reproduce the “cracking” fatigue phenomenon, the cumulative damages and the wear kinetics of the interface.

Grande parte dos componentes mecânicos e estruturas são solicitados por carregamentos que variam com o tempo e frequentemente falham por fadiga. Neste sentido, é indubitável que o modo de falha por fadiga seja considerado no projeto mecânico de componentes, equipamentos e estruturas sujeitas a carregamentos cíclicos. Os livros de projetos de máquinas ainda são os mais utilizados na indústria como referência teórica e prática ao dimensionamento contra a fadiga de produtos. Entretanto, muitos deles ainda não incluem as últimas descobertas e metodologias mais modernas para o cálculo de durabilidade de estruturas. Adicionalmente, de uma maneira geral, grande parte dos livros especializados em fadiga também não trazem informações detalhadas sobre a previsão de vida em fadiga sob a ótica do projeto mecânico, como a análise utilizando critérios de Fadiga Multiaxial e a análise de fadiga baseada em Elementos Finitos (FE-Based Fatigue Analysis). Baseado neste cenário, este trabalho tem o objetivo de propor um procedimento para avaliar a vida em fadiga de componentes e estruturas reunindo os métodos mais recentes utilizados nesta área. Dentre os vários assuntos incluídos no procedimento proposto, destacam-se: as importantes contribuições propostas pelo Conselho Alemão de Pesquisa em Engenharia (FKM-Guideline); a utilização de Análise por Elementos Finitos (FEA) na previsão de vida em fadiga; o cálculo do fator de tensão média utilizando pseudo tensões provenientes de FEA; a contabilização do efeito de entalhe em componentes com geometria complexa utilizando o Método do Gradiente de Tensão Relativo em conjunto com FEA, que pode ser aplicado tanto em carregamento uniaxial quanto em carregamento multiaxial; a contabilização do dano por fadiga em carregamento multiaxial de amplitude variável; a densidade da malha de elementos finitos adequada para utilizar em fadiga computacional; e a aplicação da teoria e dos critérios de Fadiga Multiaxial, principalmente em FE-Based Fatigue Analyses, cuja utilização é imprescindível em estruturas sujeitas a tensões cíclicas em mais de uma direção (x,y,z). / Most of mechanical components and structures are subjected to time varying loading and therefore often present fatigue failure. Therefore, it is essential to consider the fatigue failure mode in the project of components, machines and structures under cyclic loading. Design of Machine Elements books are still the most used in industry as theoretical and practical reference for designing products against fatigue. However, many of them still do not include the latest findings and methodologies used in fatigue life assessment of structures. Additionally, overall, most of the specialized fatigue books also do not include detailed information about fatigue life assessment in a mechanical project view, as the fatigue analysis using Multiaxial Fatigue criteria and the fatigue life prediction using the Finite Element Method (FE-Based Fatigue Analysis). Based on this fact, this thesis proposes a procedure for predicting component and structures fatigue life, gathering together the most recent methods used in the fatigue area. Among the several subjects included in this procedure, we can highlight: the important contributions of the German Engineering Research Council (FKM-Guideline); the use of Finite Element Analysis (FEA) in the fatigue life assessment; the calculation of the mean stress factor using the pseudo stresses from FEA; the computation of the notch eect in geometrically complex components using the Relative Stress Gradient Method in conjunction with FEA, method which can be applied both in uniaxial loading and multiaxial loading; the estimation of the fatigue damage in structures under variable amplitude multiaxial fatigue loading; the selection of an adequate Finite Element mesh density to use in computational fatigue; and the aplication of the Multiaxial Fatigue theory and criteria, specially in FE-Based Fatigue Analyses, of which use is essential in structures under ciclic stresses in 2 or 3 directions (x,y,z).