Les liquides confinés présentent beaucoup de comportements fascinants, très différents de ceux qui sont observés dans leur volume. Le confinement peut induire un déplacement de l'équilibre des phases (par exemple de la transition liquide-vapeur, aussi appelé condensation capillaire), il peut modifier la température de transition vitreuses des polymères, ou bien imposer un ordre dans l'arrangement moléculaire du fluide. Les modifications des propriétés mécaniques des liquides aux interfaces sont particulièrement importantes au niveau des applications. Cependant au niveau de la compréhension, le simple cas des liquides newtoniens est toujours sujet à controverse, avec d'une part des simulations numériques montrant que la viscosité ne devrait pas être modifiée pour des confinements supérieurs à quelques tailles moléculaires, et d'autre part des expériences non unanimes, montrant parfois des modifications qualitatives des propriétés rhéologiques sous confinement. Récemment nous avons montré que les méthodes d'impédance hydrodynamique en géométrie sphère-plan constituent une méthode privilégiée, non-intrusive et non-ambigüe, pour aborder la nano-mécanique des liquides aux interfaces (1,2). S'agissant d'interphases, cad de couches fluides dont les propriétés sont modifiées par la proximité d'un solide, il est possible d'accéder à leur module sans contact, donc sans la perturbation apportée par une seconde surface. S'agissant de l'effet du confinement sur la rhéologie, nous avons montré que la déformation élastique à l'échelle du pico-mètre des surfaces confinantes, donne une forte modification de la rhéologie apparente du fluide, même en l'absence de tout effet intrinsèque. Le sujet de thèse vise à mettre en oeuvre les méthodes d'impédance hydrodynamique pour étudier la rhéologie de solutions de polymères confinés. On étudiera plus précisément deux systèmes modèles d'importance fondamentale aussi bien que pratique : les brosses de polymères greffés, dont les propriétés mécaniques sont un enjeu dans les applications de lubrification aussi bien que pour les écoulements biologiques, et les solutions de polymères hydro-solubles d'intérêt pour la récupération assistée du pétrole, en vue de comprendre les effets de fluidification sous confinement et de faire la part entre modification de la viscosité et couche de déplétion induite par l'écoulement. Au niveau instrumental, un des enjeux de la thèse sera de mettre en oeuvre les mesures d'impédance hydrodynamique sur deux types d'instruments complémentaires au niveau de l'échelle de la sonde: l'appareil de mesure de forces dynamique (SFA) du Liphy, et l'AFM à détection interférométrique développé à l'Institut Néel. Ces différentes échelles d'investigation devront permettre de préciser les propriétés moyennes mécaniques moyennes des liquides confinés et leurs gradients au voisinage de la paroi. Une perspective du travail sera de mettre en regard les propriétés mécaniques et rhéologiques intrinsèques des brosses polymères déterminées directement sur SFA ou AFM, avec leur propriétés fonctionnelles: propriétés de lubrification des contacts frottants, ou de modification des écoulements des dans micro-canaux. Ceci sera poursuivi sur la plateforme expérimentale mise en place par Lionel Bureau au Liphy : SFA de friction, systèmes micro-fluidiques à visée biomimétique (parois fonctionnalisées par des brosses polymères). L'enjeu sera alors de comprendre comment les propriétés mécaniques et rhéologiques des brosses déterminent celles des systèmes dans lesquels elles interviennent. / Liquids confined present many fascinating behaviors very different from those observed in their volume. Confinement can induce a shift in the balance of phases (eg the liquid-vapor transition, also called capillary condensation), it can change the glass transition temperature of the polymer, or impose order on the molecular arrangement of fluid. The changes in the mechanical properties of liquid interfaces are particularly important in applications. However the level of understanding, the simple case of Newtonian liquids is still controversial, with one hand, numerical simulations show that the viscosity should not be changed for some higher molecular sizes containment, and secondly non-unanimous experiences, sometimes showing qualitative changes in rheological properties under confinement. Recently we have shown that the methods of hydrodynamic impedance sphere-plane geometry is a privileged, non-intrusive method and unambiguous, to discuss the mechanics of nano-liquid interfaces (1,2). As interphase, ie fluid layers whose properties are modified by the proximity of a solid, it is possible to accede their contactless module, so without the disturbance caused by a second surface.S As regards the effect of confinement on the rheology, we have shown that the elastic deformation across the pico meter of confining surfaces, gives a strong modification beyond apparent rheology of the fluid, even in the absence of any intrinsic effect. The thesis aims to implement the hydrodynamic impedance methods to study the rheology of polymer solutions confined. We specifically consider two models of fundamental importance as well as practical systems: brushes grafted polymer whose mechanical properties are an issue in lubrication applications as well as for biological flows and solutions of water-soluble polymers interest in enhanced oil recovery, in order to understand the effects of thinning containment and to distinguish between changes in viscosity and depletion layer induced by the flow. At the instrumental level, one of the challenges of the thesis is to implement the hydrodynamic impedance measurements on two complementary instruments at the level of the probe: the measuring dynamic power (SFA) of Liphy, and AFM interferometric detection developed at the Institut Néel. These different scales of investigation will help to clarify the medium average mechanical properties of liquids confined and their gradients near the wall. A view of work will be to look mechanical and rheological properties of polymer brushes intrinsic determined directly on SFA or AFM with their functional properties: lubricating properties of sliding contacts, or modification of the flow in microchannels. This will continue on the implementation by Lionel Bureau Liphy experimental platform: SFA friction advised biomimetic micro-fluidic systems (walls functionalized polymer brushes). The challenge will be to understand how the mechanical and rheological properties of brushes determine those systems in which they operate.

[pt] Uma prospecção bem sucedida de petróleo e gás requer muitos esforços para se sobrepor os desafios encontrados, tais como vibrações axiais, laterais e torcionais. Estes fenômenos podem causar a falha prematura de componentes do sistema de perfuração, disfunção nos equipamentos de medição e aumento no tempo e custo no processo de perfuração. Em particular, vibrações torcionais estão presentes em grande parte dos processos de perfuração e podem alcançar um estado crítico: stick-slip. Um melhor entendimento sobre este fenômeno proporciona ferramentas para evitar o aumento do tempo e do custo da prospecção, assegurando o investimento e sucesso do processo de perfuração. Neste trabalho, é descrito um procedimento experimental com um atrito não linear objetivando induzir stick-slip e é feito uma modelagem analítica simples do problema. O modelo de atrito é baseado em um atrito seco imposto por um dispositivo de freio desenvolvido. O comportamento não linear da bancada experimental é analisada e o modelo numérico é validado comparando diagramas de bifurcações numérica e experimentais. / [en] A successful oil and gas prospecting requires many efforts to overcome the encountered challenges, some of these challenges include drill string axial, lateral and torsional vibrations. These phenomena may cause premature component failures of the drilling system, dysfunction of measurement equipments, and increase time and costs of the prospecting process. Torsional vibrations are present in most drilling processes and may reach a severe state: stick-slip. An improved understanding about the stick-slip phenomenon provides tools to avoid the increase of prospecting time and costs, assuring the investment and success of the drilling process. Firstly, a numerical analysis of the drill string is performed with different friction models. These models are proposed in order to get familiar with the drill string dynamics. Also, it is described the experimental procedure with a nonlinear friction aiming to induce stick-slip and is performed a simple analytical modeling of the problem. The friction model is based on dry friction imposed by a break device. The nonlinear behavior of the experimental apparatus is analyzed and the numerical model is validated comparing experimental and numerical bifurcation diagrams.

xv, 136 p. : ill. (some col.) / The Pacific Northwest of the United States has been tectonically and magmatically active with the accretion of the Farallon oceanic terrane "Siletzia" ∼50 Ma. The accretion of Siletzia terminated the flat-slab subduction of the Farallon slab and initiated the Cascadia subduction zone. In this dissertation, I focus on both the large-scale tectonic structures preserved seismically in the crust and upper mantle, and the small-scale, short-term aseismic processes on the plate interface. I measure the shear-wave splitting trends around eastern Oregon with a dataset of ∼200 seismometers from 2006-2008 to analyze the upper-mantle anisotropy. The delay times between splitted shear-waves range from 0.8 s to 2.7 s. In the High Lava Plains, the fast polarization direction is approximately E-W with average delay time ∼1.8 s. I infer that there must be significant active flow in a roughly E-W direction in the asthenosphere beneath this area. The splitting pattern is more variable and complicated in NE Oregon, where the crust and mantle lithosphere may be a significant contribution. In terms of the imaged seismic velocity structures, I infer that the Eocene sedimentary basins in south-central Washington lie above a magmatically underplated crust of extended Siletzia lithosphere. Siletzia thrusts under the pre-accretion forearc, and its southeast termination is especially strong and sharp southeast of the Klamath-Blue Mountains gravity lineament. Magmatic intrusion has increased upper crustal velocity as in the less active Washington Cascades, but the higher temperatures beneath the magmatically active Oregon Cascades have a dominating effect. To better understand the physical mechanism of slow slip events on the plate interface, I explore the scaling relationships of various source parameters collected mainly from subduction zones worldwide and also other tectonic environments. The source parameter scaling relationships of slow slip events highlight the similarities and differences between slow slip phenomena and earthquakes. These relationships hold implications for the degree of heterogeneity and fault healing characteristics. The recurrence statistics of northern Cascadia events behave weakly time predictable and moderately anti-slip predictable, which may indicate healing between events. This dissertation includes co-authored materials both previously published and submitted for publication. / Committee in charge: Eugene Humphreys, Chairperson; David Schmidt, Member; Ray Weldon, Member; James Isenberg, Outside Member

Fenômenos de deslizamentos de encostas ocorrem em todo o mundo em diversas condições climáticas e de terrenos, custando bilhões de dólares e produzindo milhares de mortes, agravando problemas ambientais, econômicos e políticos. Um problema sério que se associa à questão dos deslizamentos de encostas é o crescimento populacional e a ocupação desordenada das encostas, caracterizando os deslizamentos como uma questão geopolítica e econômica. Ações para mitigar os problemas decorrentes desses fenômenos de deslizamentos incluem o Monitoramento Ambiental das áreas de maior susceptibilidade e o Manejo da População, quando submetidas a elevado risco de deslizamento. Os processos de monitoração consistem na coleta de um conjunto de sinais e parâmetros, provenientes do solo das encostas, que possam ser usados para o reconhecimento das dinâmicas dos solos. Combinando os sinais provenientes do solo e parâmetros que reflitam os fatores climáticos e antrópicos, causadores de desestabilizações e deslizamentos, torna-se possível utilizar estes dados combinados em modelos de avaliação de risco para realizar a Predição de Deslizamentos. No Contexto Brasileiro, existe uma forte relação entre chuvas intensas e deslizamentos de encostas, devido aos fenômenos de escoamento de águas infiltradas no solo e na erosão decorrente, sendo, portanto, o monitoramento preditivo das primeiras camadas do solo um importante recurso para a detecção das áreas de eminente risco de deslizamento. Diversas abordagens para a monitoração dos solos foram apresentadas internacionalmente, sendo estas abordagens baseadas em diversas tecnologias, como exemplos podem ser citadas as técnicas de ondas acústicas no solo, detectores de umidade relativa e pluviometria seletiva. Essas abordagens podem tirar proveito do recente paradigma de Redes Sensores, baseados em dispositivos computacionais móveis de baixo consumo, movidos a baterias, que podem formar redes de trocas de dados baseadas em redes sem fio, permitindo a conexão de diversos sensores de solo, espalhados ao longo das encostas, formando um sistema de coleta destes dados de sensores em tempo real para posterior processamento e avaliação de riscos. Frente ao exposto, este trabalho propõe um sistema de monitoramento baseado em rede sensores, capaz de estimar o risco eminente de deslizamento. O sistema proposto considerou quatro dimensões do problema de desenvolvimento e prototipação do sistema de monitoramento: (1) Proposição de um Ambiente de Simulação Física, a partir da criação de um ambiente de testes em laboratório utilizando escala reduzida; (2) Reconhecimento tecnológico e refinamento de propostas de sistemas pré-existentes, que tenham a mesma finalidade, já descritos na literatura, sejam eles projetos acadêmicos ou sistemas já comercialmente disponíveis; (3) Desenvolvimento de um Sensor Inteligente Multiparamétrico; (5) desenvolvimento de uma Rede de Monitoramento para coleta de dados vindos da encosta e processamento local. Este trabalho apresenta, como contribuição técnico-científica principal, um ambiente de simulação e monitoração, sendo este ambiente relevante para estudos das dinâmicas dos deslizamentos, bem como para a prototipação de redes de monitoração para aplicações em ambientes reais, para geração de informação sobre os riscos de deslizamento, uteis para as atividades de contingenciamento dos defeitos de deslizamento por parte da Defesa Civil. / Landslides occur around the world, in various conditions of weather and terrain, costing billions of dollars, causing thousands of deaths and worsening environmental, economic and political problems. A serious question associated with landslides is the disordered of human occupation - characterizing a geopolitical and economic issue. Actions to mitigate the problems arising from this phenomenon include environmental monitoring of the areas of greatest susceptibility for managing the higher risk population. The monitoring processes consist of recognizing soil dynamics and climatic factors, responsible for causing destabilization and landslides. In the Brazilian context, there is a strong relationship between heavy rains and landslides, since the phenomenon of runoff water infiltrated the soil and produces erosion. Therefore, a predictive monitoring of the first soil layers is an important feature for detecting areas of imminent risk of slippage. Several approaches for monitoring were presented internationally, they are based on different technologies, such as acoustic waves in the soil; detectors of relative humidity and rainfall selective analysis. All these approaches are anchored in the paradigm of remote sensing and smartsensor networks. Based on that, this paper proposes a model to estimate the imminence of of landslides risk. The proposed model is built on four pillars: (i) proposing a physics simulation environment, from the creation of a laboratory scale test environments, (ii) recognizing the technology and refinement of pre-existing models, (iv) developing of multiparametric smart sensor and (v) developing of a peer-to-peer network of sensors. This study aggregates to the scientific and technical contribution a framework for monitoring, useful for studying of landslides dynamics. Such framework is crucial for prototyping monitoring networks to be used by civil defense.

De nombreuses applications industrielles mettent en jeu des fluides complexes qui possèdent souvent un seuil d'écoulement leur permettant de résister à des efforts finis sans s'écouler. Par ailleurs, ces fluides peuvent glisser aux parois lorsque les conditions interfaciales sont favorables. Toutes ces propriétés influencent leurs écoulements autour d'obstacles. Cette thèse se propose de comprendre ces écoulements dans le domaine où les vitesses d'écoulement sont telles que les effets inertiels peuvent être négligés devant les effets visqueux eux-mêmes faibles par rapport aux effets plastiques. Elle analyse l'influence de la vitesse et du glissement sur la force de traînée et les champs cinématiques générés par l'écoulement très lent et en régime permanent d'un fluide à seuil autour d'obstacles aux surfaces adhérentes ou glissantes. Les géométries considérées sont le disque, la sphère, le cône et la plaque plane. Le fluide utilisé a un comportement élasto-viscoplastique pouvant être décrit par les modèles de Herschel-Bulkley et de Hooke. Ce comportement a été caractérisé en volume et en présence de glissement par des mesures rhéométriques. Le nombre adimensionnel clé de l'étude est le nombre d'Oldroyd, ratio entre les effets plastiques et les effets visqueux, compris ici entre 10 et 200. Les mesures de forces de traînée ont montré qu'indépendamment de l'obstacle et des conditions interfaciales, le coefficient de traînée diminue avec le nombre d'Oldroyd et tend vers une valeur asymptotique. Cette valeur montre qu'au-delà d'un certain nombre d'Oldroyd, ce coefficient n'est plus gouverné par la vitesse mais dépend uniquement du seuil et de la surface caractéristique de l'obstacle. Elle permet de calculer un critère de stabilité pour lequel l'objet est maintenu en suspension. Les champs cinématiques déterminés par PIV ont permis de caractériser la forme et l'étendue des zones rigides et cisaillées. Les mesures de forces de traînée et de champs cinématiques ont permis de quantifier la contribution des contraintes normales et tangentielles dans la force de traînée totale. La présence de glissement aux parois de l'obstacle diminue significativement le coefficient de traînée et modifie la morphologie de l'écoulement en réduisant l'étendue des zones cisaillées. Une simulation numérique a été menée dans le cas de la plaque plane avec un modèle élasto-viscoplastique et un code à éléments finis avec points d'intégration Lagrangiens. / Many industrial processes include numerous complex fluids often presenting a yield stress. Those fluids can also slip when interfacial conditions are favorable. All these properties affect their flows around obstacles. This thesis aims to understand such flows in a domain where the flow velocities are so low that inertia effects can be neglected compared to viscous effects which are substantially low compared to plastic effects. It analyzes the influence of the velocity and the slip on the drag force and the kinematic fields of the creeping flow of a yield stress fluid around obstacles either with adhesive or slippery wall. The flow is analyzed in steady regime. The considered geometries are the disc, the sphere, the cone and the flat plate. The fluid used has an elasto-viscoplastic behavior which is modelled by the Herschel-Bulkley and Hooke models. This behavior has been characterized by rheometrical tests performed with adherence and slip conditions. The main non-dimensional number is the Oldroyd number, i.e. the ratio between plastic and viscous effects, which ranges from 10 to 200. The drag forces measurements have shown that regardless of the obstacle and the interfacial conditions, the drag coefficient decreases with the Oldroyd number before tending towards to an asymptotical value. This asymptotical value highlights that for high Oldroyd numbers the drag coefficient is no longer governed by the velocity but depends only on the yield stress and the characteristic section of the obstacle. A stability criterion for which the obstacle is held in suspension has been calculated from it. The kinematic fields determined by PIV have enabled to characterize the shape and the extent of the sheared and static regions. The drag forces and the kinematic fields measurements have enabled to quantify the contribution of the normal and tangential stresses in the total drag force. The wall slip significantly reduces the drag coefficient and also reduces the extent of the sheared zones. A numerical simulation has been performed with an elasto-viscoplastic model by means of a code using finite elements method with Lagrangian integration points in the case of an adhesive flat plane.

Este trabalho aborda o estudo da aderência aço-concreto em pilares mistos preenchidos através de revisão bibliográfica e de investigação experimental. De modo esquemático, a aderência é dividida em três parcelas: adesão, aderência mecânica e atrito, que em conjunto compõem a aderência natural. Adicionalmente, podem ser empregados conectores de cisalhamento, que são dispositivos mecânicos fixados nas superfícies internas dos tubos, como meio de ampliar a resistência ao escorregamento. Foram realizados ensaios do tipo pushout em alguns tipos de modelos de pilar preenchido: modelos simples, com adição de conectores tipo pino com cabeça, com cantoneiras na interface aço-concreto e semelhantes aos anteriores mais elementos de ligação. Com os resultados obtidos traçaram-se comportamentos força x escorregamento do concreto, força x deformações axiais nos materiais e curvas de distribuição de força ao longo do comprimento dos modelos. Concluiu-se que conectores tipo pino com cabeça e cantoneiras são uma excelente alternativa como dispositivos auxiliares na transferência de tensões de cisalhamento na interface aço-concreto. Entretanto, é necessário garantir resistência à ligação para que esses mecanismos sejam mobilizados / This research presents a study of influence of bond on concrete-filled steel tubes by means of a bibliography review and an experimental investigation. The bond strength counts on three mechanisms: adhesion of the concrete to the steel surface, friction and wedging of the concrete core. In order to improve the shear resistance of the steel-concrete interface, shear connectors can be used. A series of push-out tests of rectangular concrete-filled steel tubes was conducted in the specimens without mechanical shear connectors, specimens with stud bolt shear connectors and specimens with angles. They were also tested the corresponding beam-column connections. The results are shown in curves force x slip of concrete, force x axial strain of materials and distribution of axial load to the steel and to the concrete. The results of the tests permitted identify the mechanisms of natural bond and indicated that the stud bolts and the angles are excellent alternatives as auxiliary mechanisms to transfer shear between the concrete and steel in the concrete filled composite column. However, it is necessary to guarantee the connection enough strength in order to permit these resistance be developed

Increasing environmental awareness has driven a lot of research to look into various environmentally friendly lubricants which can replace more conventional mineral oil based lubricants. This is true in particular for marine and hydropower applications where the risk of lubricant leakage can be damaging to the local environment. Glycerol is an organic compound produced as a byproduct when producing Biodiesel. It is environmentally friendly and has been used by the pharmaceutical and food industries for a long time. Recent research has shown that glycerol has very good tribological properties and can be used as a lubricant in some applications. However, its high viscosity and high static friction are disadvantageous and needs improvement. The purpose of this study is to investigate possible surface active environmentally adapted additives in glycerol and water solutions. 14 additives have been selected for testing and were tested in a pin-on-disc start-stop friction test to see their effect on the static and dynamic friction coefficients. From these 14 additives two were selected due to their superior performance and were further studied. The effect of concentration of water and additive in glycerol was also investigated using the same test conditions. A phosphor based additive has been found to be the best performing.

Il existe actuellement une demande croissante pour le développement de méthodes expérimentales rapides et fiables permettant d'estimer la résistance à la fatigue dans le domaine de la fatigue à grands nombres de cycles. En ce sens, la fatigue ultrasonique apparue dans les années cinquante est très intéressante pour les industriels. En effet, la fréquence typique de ces essais est de 20 kHz ce qui permet d'atteindre le domaine des très grandes durées de vie en des temps d'essais raisonnables (109 cycles sont atteints en 14 h). Cependant ces essais posent le problème de l'effet de la fréquence et plus généralement de la validité des résultats obtenus pour estimer la durée de vie de structures chargées à des fréquences très inférieures à 20 kHz. L'objectif de ce travail est d'évaluer l'effet de la fréquence du chargement sur les mécanismes précurseurs de l'initiation de fissures et plus précisément sur les mécanismes de microplasticité à l'échelle du grain. Ce travail de thèse s’intéresse au cas du cuivre pur polycristallin sollicité en traction-compression alternée et symétrique. Pour mettre en évidence un effet de la fréquence, les courbes de Wöhler ont été construites à différentes fréquences. L’étude s’est ensuite focalisée sur les mécanismes de microplasticité précurseurs de l’initiation de fissures et plusieurs critères ont été examinés : les morphologies des bandes de glissement et leurs positions en lien avec la microstructure, les seuils d’apparition des bandes de glissement, le développement de ces bandes avec le nombre de cycles, la répartition de la microplasticité dans les grains, les valeurs d’énergie dissipée au cours d’un cycle. Le glissement dévié et la production-diffusion de lacunes sont deux mécanismes qui interviennent dans la formation des bandes de glissement et des extrusions en surface. Leurs rôles respectifs sur les effets de fréquence observés sont discutés. / Nowadays there is a growing demand for the development of fast and robust fatigue life prediction methods in the very high cycle fatigue domain. In this way, ultrasonic fatigue technique which appeared in 1950 is very interesting for manufacturers. Because the typical frequency of these tests is 20 kHz, this technique is efficient to perform tests up to a very high number of cycles in a reasonable time (109 cycles are reached in 14 h). However, the frequency domain of these fatigue tests facilities raises the issue of the effect of frequency and more generally the validity of the obtained results for estimating fatigue life of structures loaded at frequencies three or four order of magnitude below ultrasonic frequencies. The objective of this work is to evaluate the effect of the loading frequency on the precursors of fatigue damage, namely the microplasticity at the grain scale. This thesis work deals with the case of polycrystalline pure copper loaded in fully reversed tensioncompression. To show the effect of frequency, the Wöhler or S-N curves were constructed at different frequencies. Then, the study focused on the mechanisms of microplasticity preceding crack initiation and several criteria were investigated: the morphologies of the slip bands and their locations in the microstructure, the thresholds of appearance of the slip bands, the evolution of the slip bands amount with the number of cycles, the distribution of the microplasticity in the grains, the dissipated energy during a fatigue cycle. Cross slip and vacancies production and diffusion are two mechanisms which play a part in the formation of slip bands and extrusions in surface. Their respective roles on the effects of frequency observed are discussed

Ces travaux portent sur la commande et l’analyse de la stabilité d’un système électropneumatique constitué d’un axe linéaire commandé par deux servodistributeurs régulant le débit massique entrant dans chaque chambre de l’actionneur. La problématique générale est motivée par l’apparition d’un phénomène de redécollage sur ce système électropneumatique difficilement pris en compte par les études actuelles en automatique. Ce problème, rencontré depuis de nombreuses années, concerne toutes les commandes linéaires et non linéaires mono et multidimensionnelles étudiées au laboratoire. Il se traduit par des mouvements saccadés du vérin au voisinage de l’équilibre. Ce phénomène est dû à la présence de frottements secs et aux dynamiques des pressions dans les chambres pneumatiques de l’actionneur, qui continuent à évoluer (intégrer le débit massique entrant délivré par les servodistributeurs), même après l’équilibre mécanique. La première partie de ce mémoire propose une commande non linéaire commutée afin d’éviter le phénomène de redécollage de l’actionneur électropneumatique notamment vis-à-vis des variations de frottements secs qui peuvent à tout moment causer ce phénomène. Cette technique est finalement mise en œuvre et son efficacité est constatée. La plus grande partie de ce mémoire traite l’analyse de l’actionneur électropneumatique avec sa loi de commande commutée. La présence de frottements secs et l’application d’une loi de commande commutée nous a amené à concilier une démarche d’analyse de stabilité, en considérant une classe de systèmes commutés appelée systèmes affines par morceaux. La principale difficulté de cette démarche réside dans l’obtention de fonctions de Lyapunov adéquates, qui se transforme en un problème d’optimisation sous contraintes LMI (Linear Matrix Inequality) en utilisant la S-procédure. Afin d’analyser la stabilité d’un système PWA (PieceWise Affine), la première démarche proposée permet le calcul d’une fonction de Lyapunov quadratique par morceaux sous la forme d’un problème d’optimisation sous contraintes LMI, en imposant des conditions suffisantes de stabilité. Ces dernières permettent, contrairement aux méthodes classiques, d’assurer la convergence de trajectoires d’état non pas vers un point d’équilibre, mais vers un ensemble des points d’équilibre d’un système PWA. L’approche proposée permet aussi l’étude de la robustesse vis-à-vis des variations paramétriques dans le système. Nous proposons aussi une deuxième approche pour la construction d’un type de fonctions de Lyapunov dites polynomiales par morceaux, via l’utilisation des "sum of square" et de la "power transformation", afin d’analyser la stabilité d’un ensemble de points d’équilibre d’un système PWA, en présence de phénomènes de glissement et de variations paramétriques. Cette approche propose des conditions suffisantes moins conservatives que celles imposées par les fonctions de Lyapunov quadratique par morceaux. En effet, sur des exemples de systèmes PWA présentant de dynamiques discontinues sur les frontières entre les cellules, pouvant générer à tout moment des phénomènes de glissement, ces dernières s’avèrent inefficaces et ne permettent pas d’assurer la stabilité des systèmes PWA en présence de ces phénomènes. Par conséquent, les résultats sur la fonction de Lyapunov quadratique par morceaux sont étendus pour pouvoir calculer des fonctions de Lyapunov polynomiales par morceaux d’ordre supérieur, en résolvant un problème d’optimisation sous contraintes LMI. Ces dernières permettent de garantir des conditions plus générales et moins conservatives par rapport à celles développées dans la littérature. Ces deux approches ont été appliquées afin d’analyser la stabilité de l’ensemble des points d’équilibre du système électropneumatique, en considérant à la fois un modèle de frottements sous la forme d’une saturation et un autre sous la forme d’un relais présentant une dynamique discontinue. [...] / This work focuses on the control and stability analysis of an electro-pneumatic system, i.e. a linear pneumatic cylinder controlled by two servo valves regulating the mass flow entering each chamber of the actuator. The general problem is motivated by the appearance of stick-slip on the electro-pneumatic system, hardly taken into account by the current studies in automatic control. This problem, encountered throughout the years, concerns all mono- and multidimensional linear and non-linear controls systems studied at the laboratory. In pneumatic cylinders, the phenomenon consists in a displacement of the rod a while after it has come to a rest ; this is due to the fact that the force acting on the rod initially becomes smaller that the threshold which is necessary for a motion, and then this threshold is overcome later on. In this case, stick-slip is caused by the presence of dry friction and by the pressure dynamics in the chambers, which continue to evolve (integrating the net incoming mass flow from the servovalves) even after the rod has stopped. The first part of this thesis proposes a nonlinear switching control law in order to avoid stick-slip on pneumatic cylinder, taking into account with the variations of dry friction that may occur at any time causing this phenomenon. This technique is implemented and its effectiveness is recognized. The greatest part of this thesis deals with the stability analysis of the pneumatic cylinder with its switched control law. The presence of dry friction and the application of a switched control law requires an appropriate method for approaching the stability analysis ; this method is based on considering the closed-loop system as belonging to a class of switched systems called piecewise affine systems (PWA). The main difficulty in this approach lies in obtaining adequate Lyapunov functions for proving stability, which turns into an optimization problem under LMI constraints (Linear Matrix Inequality) using the S-procedure. In order to analyze the stability of a PWA system, a first method is proposed allowing the computation of a piecewise quadratic Lyapunov function through an optimization problem under LMI constraints. The methods takes into account, in contrast to conventional methods, that the states might converge not to a single point but to a set of equilibrium points. The proposed approach allows also the study of robustness with respect to parametric variations in the system. A second method is also proposed for the construction of a type of Lyapunov functions called piecewise polynomial, using the “sum of squares” and “power transformation” techniques. This approach proposes less conservative sufficient conditions than those imposed by the piecewise quadratic Lyapunov functions, yielding a more succesfull stability test when for PWA systems featuring sliding modes and parametric variations. In fact, on PWA systems with discontinuous dynamics (which can generate sliding phenomena), piecewise quadratic Lyapunov functions might prove ineffective to prove the stability. Therefore, the results on piecewise quadratic Lyapunov functions are extended in order to compute piecewise polynomial Lyapunov functions of higher order, by solving an optimization problem under LMI constraints. These functions are more general and allow less conservative conditions compared to those formerly developed in the literature. Both of these methods have been applied to the stability analysis of the set of equilibrium points of the pneumatic cylinder, considering first a friction model in saturation form and then a model in relay form with a discontinuous dynamics. The application of the methods is successful, i.e. the robust stability is proven under dry friction threshold variations, with possibility of sliding modes.

Le composé intermétallique ordonné Ni3Al, de structure L12, présente une augmentation de contrainte d'écoulement avec la température, jusqu'à une température dite de "pic" au-delà de laquelle celle-ci décroit. Ce comportement, usuellement appelé anomalie de contrainte d'écoulement, est mis à profit dans les superalliages base nickel pour les applications hautes températures. Il a été étudiée de façon extensive ces trente dernières années et a donné lieu à de nombreuses modélisations. La plupart des modèles proposés considère qu'un processus thermiquement activé de glissement dévié des dislocations, à partir de leur plan de glissement primaire {111} sur le plan cubique de déviation {010}, joue un rôle clé dans la compréhension de l'anomalie. La distance de glissement dévié peut cependant fortement différer. Les traces de glissement laissées par l'émergence des dislocations mobiles à la surface d'échantillons déformés plastiquement permettent de visualiser les événements de déviations et de caractériser les mécanismes élémentaires de déformation plastique. Nous avons mesuré des paramètres essentiels pour modéliser la plasticité globale de l'intermétallique Ni3Al, comme : le nombre, la hauteur, la longueur des traces de glissement correspondant aux plans {111} et {010}. Ces paramètres qui caractérisent à la fois l'activité des sources et le libre parcours moyen des dislocations, suggèrent que l'anomalie s'accompagne d'un fort taux d'épuisement de la densité de dislocations mobiles. De nombreuses longues déviations dans les plans {010} ainsi que des doubles glissement dévié entre plans {111} adjacents, ont été mis en évidence. Ceci suggère deux processus de glissement dévié. / Ni3Al intermetallic compounds, that correspond to the strengthening phase of nickel-based superalloys, are well known to exhibit within a given range of temperature, an anomalous behaviour of flow strength. This positive temperature dependence of flow strength, called yield stress anomaly (YSA), has been the subject of extensive experimental studies concerning mechanical properties and dislocation microstructures, which have yielded several plausible models. Most of these models considers that a thermally activated cross-slip process, from the primary {111} onto the cube cross-slip {010} planes, plays a key role in the understanding of the YSA. However, the height of the cross-slipped segment in the {010} plane can be drastically different. The slip traces resulting from the emergence of moving dislocations at the surface in plastically deformed samples, allow us to visualize cross-slip events and to characterize the elementary mechanisms controlling plastic deformation. The number, height and length of slip traces corresponding to {111} and {010} planes, that are key parameters for modelling the plastic behaviour of Ni3Al intermetallic, are examined. These parameters reflect both the source activity and dislocation mean free path of dislocations; their values suggest that the YSA takes place with a strong exhaustion of mobile dislocations. Several larger deviations on the {010} planes, as well as double cross-slip between {111} neighbouring planes, are highlighted. These results suggest two different cross-slip process.