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No presente trabalho foi realizado um estudo comparativo entre as ligas AA7050- T7451 e AA2050-T84, bem como entre as direções L-T e T-L para analisar o comportamento das ligas, quando submetidos à temperatura ambiente e criogênica. Para realizar a análise comparativa entre as ligas e entre as direções, foram utilizados corpos de prova tipo C(T) (Compacto Tension), pré-trincados em fadiga. A análise comportamental das ligas foram avaliadas através dos ensaios de tenacidade à fratura, KIC, Curva KR, fadiga, da/dN. A microestrutura foi caracterizada através da microscopia ótica, microscopia eletrônica de varredura e microscopia eletrônica de transmissão. Foi observado que na direção L-T há uma maior resistência à propagação da trinca em relação à direção T-L, no que diz respeito à Curva KR, tanto para temperatura ambiente quanto para temperatura criogênica. Quando comparou-se as duas ligas na direção L-T em temperatura ambiente, ambas apresentaram um fator de intensidade de tensão similar. Os resultados dos ensaios de fadiga mostraram que a direção T-L é mais sensível à razão de carga. Analisando os resultados entre as direções L-T e T-L, observou-se que as duas ligas apresentaram comportamento anisotrópico. / A comparative study was made of the AA7050-T7451 and AA2050-T84 alloys and of the L-T and T-L directions to analyze the behavior of the alloys when subjected to room and cryogenic temperatures. The comparative analyses of the alloys and directions were performed using fatigue-precracked compact tension (CT) test specimens. The behavior of the alloys was analyzed based on fracture toughness, KIC, KR curve, fatigue, and da/dN tests. Their microstructure was characterized by optical microscopy, scanning electron microscopy and transmission electron microscopy. The KR curve indicated that resistance to crack propagation was higher in the L-T direction than in the T-L direction at both room and cryogenic temperatures. In a comparison of the two alloys in the L-T direction at room temperature, they were found to present a similar stress intensity factor. The results of the fatigue tests demonstrated that the T-L direction is more sensitive to the load ratio. An analysis of the results in the L-T and T-L directions indicated that the two alloys exhibited anisotropic behavior.

Kyoto University (京都大学) / 0048 / 新制・課程博士 / 博士(工学) / 甲第15580号 / 工博第3292号 / 新制||工||1497(附属図書館) / 28101 / 京都大学大学院工学研究科社会基盤工学専攻 / (主査)教授 杉浦 邦征, 教授 田村 武, 准教授 宇都宮 智昭 / 学位規則第4条第1項該当

Des tests de fissuration ont été réalisés sur des joints collés asymétriques. Ces assemblages asymétriques sont constitués de deux substrats de nature et/ou d’épaisseur différentes liés par un adhésif. Cette géométrie d’éprouvette semble peu utilisée pour effectuer des essais de fissuration. Elles présentent certains inconvénients et de ce fait n’ont fait l’objet d’aucune normalisation. Dans le cadre cette géométrie d’éprouvette d’essai a été néanmoins été retenue et utilisée dans trois configurations différentes pour la caractérisation mécanique des assemblages collés. Des protocoles d’essai et les schéma d’analyse associés ont été définis pour des essais de fissuration à vitesse de déplacement imposé (CRT : Constant Rate Test), à force imposée (CFT : Constant Force Test) ainsi qu’à déplacement imposé (CDT : Constant Displacement Test). Les analyses ont pu être étalonnées au moyen d’un étau matérialisant artificiellement la position d’un fissure. De nombreuses configurations ont été étudiées à l’occasion de ce travail tant du point de vue des adhésifs utilisés (epoxy, cyanoacrylate, acrylic mastic, PSA) que du point de vue des substrats encollés (alliage d’aluminium, composite à matrice organique, polycarbonate). Ces nouveaux tests s’avèrent prometteurs car ils permettent de suivre de façon continu et précision la propagation de fissure au sein de la liaison. En outre, l’analyse des déformations mesurées par extensométrie lors d’essai réalisés à déplacement imposé (CDT) permet un suivi précis de la réponse de la couche adhésive dans la zone contrainte et d’estimer la taille de cette dernière, y compris lorsque la colle est dans un état métastable. Un autre résultat important de ce travail concerne l’analyse de la modification du front de fissure celle-ci voit une diminution de l’adhésion entre les deux substrats. Enfin, un calcul plus précis du taux de restitution d’énergie a été proposé pour prendre en compte le caractère élastique de la couche adhésive, mais permettant aussi de mieux appréhender la redistribution des contraintes dans la colle, et ainsi mieux interpréter les essais mécaniques réalisés. Des analyses par Microscopie à Force Atomique (AFM) ainsi qu’au microscope électronique à balayage (MEB) ont été effectués sur les substrats encollés pour évaluer l’impact des traitements de surface. Des simulations numériques par la method des éléments finis ont été réalisées pour determiner l’état de contrainte dans nos éprouvette d’essai et ainsi expliquer la courbure du front de fissure et les faciès de rupture observés. Les nouvelles configurations expérimentales décrites dans ce manuscript nous paraissent prometteuses car elle offrent une amelioration très significative en terme de fiabilité et précision comparativement aux tests présentés habituellement pour ce type de travaux. / Adhesion was studied in asymmetric bonded joints using fracture mechanics tests. The asymmetric bonded joints consist of two different type and/or thickness materials bonded by an adhesive. Mentions of asymmetric bonded joint tests employed so far are rare in the literature. They are imperfect and therefore are not standardized. Accordingly three new tests were introduced in this work to study bonded joints. The new metrological routines and models were built for the CRT (Constant Rate Test), CFT (Constant Force Test) and the CDT (Constant Displacement Test). The routines were validated with the new Artificial Crack Tip test developed in this thesis. Different bonded systems were examined: the adhesives - epoxy, cyanoacrylate, acrylic mastic, PSA; the bonded adherends - aluminium alloys, CFRP composites and polycarbonate. The results obtained in the new tests are very promising in terms of the accuracy and continuous observation of crack kinetics. In addition it was found that the novel strain gauge technique, introduced in the CDT, test allows precise joint monitoring when the adhesive is in a metastable state and a precise estimation of process zone. Another interesting achievement of this work was describing the phenomenon of double crack curvature in the vicinity of the strong – weak adhesion transition zone. The next achievement was derivation of the strain energy release rate from the elastic foundation model, which gives better understanding of the mechanics and the measurements behind adhesive bonding. Atomic Force Microscope (AFM) and Scanning Electron Microscope (SEM) studies were made of the bonded substrates to estimate the surface treatment effects. The stress state in asymmetric geometry was studied using finite element analysis (FEA), which explained the formation of the curved crack front and the origin of river patterns. The new tests developed in this study appear promising since they offer accurate and reliable results for the materials tested. / W pracy przedstawiono wyniki badan asymetrycznych zlaczy adhezyjnych z wykorzystaniem prób mechaniki pekania. Asymetryczne zlacza klejone powstaja przez polaczenie dwóch dowolnych materialów, o innym wskazniku na zginanie, za pomoca kleju. Zaproponowano trzy nowe metody eksperymentalne dla których zaprojektowano i zbudowano stanowiska badawcze. Poprawnosc modeli fizycznych i matematycznych wykorzystanych do interpretacji badanych zjawisk potwierdzono wykorzystujac opracowana w pracy próbe ze sztucznym frontem pekniecia. Próby przeprowadzono na zlaczach klejonych wykorzystujac kleje: epoksydowe, cjanoakrylowy, typu Mastic i PSA, laczonymi materialami byly: stopy aluminium, kompozyt weglowy oraz poliweglan. Wyniki badan uzyskane przy wykorzystaniu nowych metod wskazuja na ich pewnosc i dokladnosc, dodatkowo umozliwiaja ciagla obserwacje propagujacego pekniecia. Nowa metoda pomiaru parametrów mechaniki pekania oparta na pomiarach tensometrycznych zostala z powodzeniem zastosowana do zlaczy w których klej znajduje sie w stanie metastabilnym. W pracy zaobserwowano i przeanalizowano zjawisko powstawania podwójnego frontu pekniecia na granicy osrodków o róznych silach adhezji, dotad nie opisanego. Po raz pierwszy wyprowadzono równanie szybkosci uwalniania energii sprezystej wykorzystujac model belki na sprezystym podlozu, co umozliwia lepsze zrozumienie zachowania sie zlaczy klejonych. Przeprowadzone badania z uzyciem mikroskopii sil atomowych (AFM) oraz skaningowej mikroskopii elektronowej (SEM) umozliwily ocene efektów obróbki powierzchniowej stopów aluminium. W pracy dokonano analizy naprezen w asymetrycznych zlaczach adhezyjnych z wykorzystaniem metody elementów skonczonych (FEM). Analiza FEM pozwolila na wyjasnienie zjawiska powstawania zakrzywionego frontu pekniecia w badanych przelomach. Zaproponowane nowe metody badan zlaczy asymetrycznych zapewniaja dokladnosc i pewnosc pomiaru dla materialów wykorzystanych w badaniach.

Dans les installations industrielles, des inspections régulières sont planifiées pour évaluer l’état de santé interne des composants. Si des fissures sont révélées, il est souhaitable de savoir si l’exploitation de la structure peut se poursuivre ou si un régime de fonctionnement dégradé pourrait être envisagé. En se basant sur la mécanique élastique linéaire de la rupture, les travaux présentés traitent donc dans le cas de composants fissurés de la dispersion de durée de vie résiduelle relative aux incertitudes sur les paramètres du modèle de prévision. La longueur de fissure initiale, les propriétés du matériau ainsi que les paramètres d’entrée de la loi de Paris ont été considérés comme des variables aléatoires, dont les distributions ont été déterminées expérimentalement puis ajustées par des lois statistiques adéquates. Des contrôles ultrasonores par mesure du temps de vol de l’onde diffractée – Time Of Flight Diffraction (TOFD) en anglais – et des mesures de champs obtenues par corrélation d’images numériques ont été utilisés pour quantifier la propagation d’une fissure dans une éprouvette à défaut soumise à des sollicitations cycliques uniaxiales. Les données expérimentales recueillies ont été utilisées pour initialiser les calculs et valider les résultats numériques. Les distributions de taille de fissure obtenue après un nombre donné de cycles de sollicitation et de nombre de cycles de sollicitation conduisant à une taille définie de fissure ont été obtenues par une méthode de Monte-Carlo appliquée au modèle de prévision. L’ajustement de ces distributions par de lois log-normales a fourni des outils analytiques d’estimation probabiliste de propagation de fissure. Cela a notamment permis la réalisation de cartographies de risques et l’évaluation de l’évolution de la fiabilité du composant étudié. Enfin, les effets d’une actualisation de la connaissance de la longueur de fissure au cours de la vie de ce composant en termes d’incertitude de prévision et d’extension de durée de vie résiduelle prévisionnelle ont été étudiés. En particulier, afin de limiter le coût des campagnes de contrôle non destructifs dans le cas industriel, une stratégie d’optimisation de l’actualisation de cette connaissance basée sur l’étude de fiabilité a été proposée. / In industrial plants, regular inspections are planned to assess the internal state of installations. If some cracks are revealed, it is desirable to know whether the structure can still be used or if a degraded mode of operation should be considered. Starting from a linear elastic fracture mechanics model, the work presented studied the scatter of the remaining life of such cracked parts due to the uncertainties on the parameters of the prediction model. Initial crack size, material properties and input parameters of Paris’ law have been considered as random variables and their distributions have been experimentally identified and fitted with convenient statistical laws. Time Of Flight Diffraction (TOFD) and field measurement technique based on Digital Image Correlation (DIC) were used to monitor the crack propagation initiated from a notch introduced in specimen submitted to uniaxial cyclic loading. Experimental crack length results were used to initiate computations and as a mean to validate numerical results. Both the crack lengths distributions resulting from the application of loading cycles and the distribution of the number of cycles leading to a given crack length were obtained from a Monte-Carlo method applied to the prediction model. The fit of these distributions with log-normal laws provided analytical tools to assess probabilistic crack propagation. It allowed for risk mapping and for the evaluation of the studied component’s reliability evolution. Last, the effects of an actualisation of crack length knowledge along the life of this component in terms of assessment uncertainty and predicted residual life extension has been studied. Especially, to limit the cost of non-destructive techniques inspection in industrial cases, a reliability-based strategy has been proposed for the optimisation of the crack knowledge actualisation.

Les aubes des turbines à haute pression des réacteurs d'avion subissent des chargements complexes dans un environnement réactif. Prédire leur durée de vie peut nécessiter une approche en tolérance aux dommages, basée sur la prédiction de la propagation d'une fissure supposée. Mais cette approche est confrontée au comportement non linéaire sous des chargements à amplitudes variables et au coût énorme des calculs elasto-plastiques des structures 3D complexes sur des millions des cycles. Dans ce cadre, un modèle incrémental de fissuration a été proposé. Ce modèle est basé sur la plasticité comme mécanisme principal de propagation de fissure par fatigue pure. Cette modélisation passe par une réduction de modèle de type POD. La plasticité en pointe de la fissure est alors modélisée par un nombre réduit de variables non locales et des variables internes. Un ensemble d'hypothèses doit être respecté pour garantir la validité de cette modélisation. Pour décliner ce modèle dans le cas d'un matériau anisotrope représentatif du comportement des monocristaux, une première étude a été faite sur le cas d'une élasticité cubique avec de la plasticité de Von-Mises. Une stratégie a été proposée pour identifier un modèle matériau basé sur les facteurs d'intensité non locaux. Cette stratégie comporte une détermination de la fonction critère basée sur les solutions élastiques en anisotrope. L'étude des directions d'écoulement plastique avec les variables non locales montre une forte dépendance à l'anisotropie élastique du modèle même avec une plasticité associée de Von-Mises. La stratégie comporte également une identification des variables internes.Dans la deuxième partie, le problème d'une fissure avec un modèle de plasticité cristalline a été traité. L'activation de différents systèmes de glissement a été alors prise en compte dans la modélisation. Finalement, différentes méthodologies ont été explorées en vue de transposer le modèle local de plasticité cristalline à l'échelle non locale de la région en pointe de la fissure. / The fatigue life prediction of high pressure turbine blades may require a damage tolerance approach based on the study of possible crack propagation. The nonlinear behavior of the material under complex nonproportional loadings and the high cost of running long and expensive elastic-plastic FE computations on complex 3D structures over millions of cycles are some major issues that may encounter this type of approach.Within this context, an incremental model was proposed based on plasticity as a main mechanism for fatigue crack growth.A model reduction strategy using the Proper Orthogonal Decomposition (POD) was used to reduce the cost of FEA. Based on a set of hypotheses, the number of the degrees of freedom of the problem is reduced drastically. The plasticity at the crack tip is finally described by a set of empirical equations of few nonlocal variables and some internal variables.In order to apply this modeling strategy to the case of anisotropic materials that represent the behavior of single crystals, a first study was done with cubic elasticity and a Von-Mises plasticity. Elastic and plastic reference fields, required to reduce the model, were determined. Then, a material model of the near crack tip region was proposed based on nonlocal intensity factors. A yield criterion function was proposed based on Hoenig's asymptotic solutions for anisotropic materials. The study of plastic flow directions with the nonlocal variables of the model shows a strong dependency on the cubic elasticity. A strategy to identify internal variables is proposed as well. In the second part, a crystal plasticity model was implemented. The activation of different slip systems was taken into account in the model reduction strategy. A kinematic basis was constructed for each slip system. Finally, a strategy was proposed to transpose the local crystal plasticity model to the nonlocal scale of the crack.

The thesis deals with the study of the fracture behaviour of the pipe grades of high density polyethylene (HDPE). Detailed study of current state of knowledge was performed in the first part. The focus was put on those types of polymers used for pipeline applications, the limit states of the plastic pipes, and the key parameters affecting the fracture behaviour of plastic pipes’ materials. The methods used for testing the plastic pipes and native pipeline materials were summarized. In the second part of this work, the relationship between the processing conditions, internal structure and fracture behaviour of the native types of HDPE pipe grades was evaluated. Than, the correlation between short-term alternative tests and the standardized accelerated full notch creep test (FNCT) was studied. An experimental basis for numerical model for evaluation of the fracture behaviour of multilayer pipes was established. Two types of non-homogeneous specimens for evaluating the resistance of multilayer pipes against slow crack growth (SCG) were suggested. This evaluation was based on the parameters of linear elastic fracture mechanics (LEFM) and elasto-plastic fracture mechanics (EPFM).

Concrete structures are in general expected to be subjected to cracking during its service life. This is the reason why concrete is reinforced, where the reinforcement is only activated after cracks occur. However, cracks may be a concern in large concrete structures, such as dams, since it may result in reduced service life. The underlying mechanisms behind crack formations are well known at present day. On the other hand, information concerning the crack condition over time and its influence on the structure is limited, such as the influence of water pressure within the cracks. The aim of this project is to study crack propagation influenced by water pressure and to define an experimental test setup that allows for crack propagation due to this load. Numerical analyses have been performed on an initial cracked specimen to study the pressure along the crack propagation. The finite element method has been used as the numerical analysis tool, through the use of the software ABAQUS. The finite element models included in these studies are based on linear or nonlinear material behavior to analyze the behavior during a successively increasing load. The numerical results show that a crack propagates faster if the water is keeping up with the crack extension, i.e. lower water pressure is required to open up a new crack. When the water does not have time to develop within the crack propagation, more pressure is required to open up a new crack. The experimental results show that the connection between the water inlet and the specimen is heavily affected by the bonding material. In addition, concrete quality and crack geometry affects the propagation behavior.

[pt] Apresenta-se neste trabalho uma revisão bibliográfica sobre o método dos elementos finitos estendidos (XFEM), que é um método amplamente utilizado para estudos de mecânica da fratura. Ele pode ser visto como um método eficiente para esse tipo de problema, tendo em vista que o remalhamento não é necessário durante o processo de propagação da trinca, e o grande diferencial do método dos elementos finitos estendidos é a presença das funções Heaviside e assintótica nos elementos do domínio da trinca. Outro método para resolução de problemas de mecânica da fratura é o método dos elementos de contorno dual (MECD), que consiste em definir o domínio da estrutura através de um contorno. Visando o incentivo a futuros trabalhos nesta linha de pesquisa, foi elaborado um capítulo apontando os principais detalhes da modelagem de um problema de mecânica da fratura no software Abaqus. Após isto, foram feitas seis análises em XFEM para dois casos distintos, resolvidos anteriormente por Portela et al (1993) pelo MECD. Para o primeiro caso foram feitas duas modelagens de uma chapa quadrada com uma trinca horizontal localizada na lateral esquerda, o outro conjunto de modelagens foi aplicado a uma placa em forma de crucifixo com uma trinca na diagonal. Nas análises foi percebido que há uma variação entre os caminhos da propagação da trinca a depender do carregamento externo aplicado. Com o objetivo de comparar os dois métodos, XFEM e MECD, foi analisado os caminhos de propagação obtidos nas simulações, identificando assim a semelhança entre os resultados. / [en] This work presents a literature review on the extended finite element method (XFEM), which is a widely used method for fracture mechanics studies. It can be seen as an efficient method for this type of problem, considering that remeshing is not necessary during the crack propagation process, and the great differential of the extended finite element method is the presence of the Heaviside and asymptotic functions in the crack domain elements. Another method for solving fracture mechanics problems is the dual boundary element method (DBEM), which consists of defining the domain of the structure through a boundary. Aiming to encourage future works in this line of research, a chapter was prepared pointing out the main details of the modeling of a fracture mechanics problem in the Abaqus software. After that, six analyzes were performed in XFEM for two different cases, previously solved by Portela et al (1993) by DBEM. For the first case, two models were made of a square plate with a horizontal crack located on the left side, the other set of modeling was applied to a crucifix-shaped plate with a diagonal crack. In the analyzes it was noticed that there is a variation between the crack propagation paths depending on the applied external load. In order to compare the two methods, XFEM and DBEM, the propagation paths obtained in the simulations were analyzed, thus identifying the similarity between the results.