Methods to mitigate the risk posed by seismic and blast loads to structures are of high interest to researchers. Auxetic structures are a new class of metamaterials that exhibit counterintuitive negative Poisson's ratio (NPR) behavior based on their geometric configuration. Cellular auxetics are light-weight and cost-effective materials that have the potential to demonstrate high strength and resilience under axial forces. Existing research on metallic auxetics is scarce and based mostly on analytical studies. Apparent NPR behavior of auxetics has also been linked to enhanced energy absorbing potential. A pilot study was undertaken to investigate and understand auxetic behavior in tubes constructed using ductile metals commonly found in structural applications i.e. steel and aluminum. The main objective was to establish whether performance enhancements could be obtained through auxetic behavior in ductile metal tubes. In addition, any potential benefits to auxetic performance due to base material plasticity were studied. These objectives were fulfilled by conducting an experimental and analytical investigation, the results of which are presented in this thesis. The experimental program consisted of establishing a design methodology, manufacturing, and laboratory testing for tubular metallic specimens. A total of eight specimens were designed and manufactured comprising five steel and three aluminum. For each base metal, three different geometric configurations of cells were designed: one with a rectangular array of circular voids and two with void geometries based on the collapsed shape of circular cells in a design tube under uniaxial compressive stress. A parameter called the Deformation Ratio (DR) was introduced to quantify cell geometry. Designed tubes were manufactured via a six-axis laser cutting process. A custom-made test assembly was constructed and specimens were tested under reverse-cyclic uniaxial loading, with one exception. Digital Image Correlation (DIC) was used to acquire experimental strain data. The performance of the auxetic and non-auxetic tubular structures was evaluated based on the axial load-deformation characteristics, global deformations, and the specific energy absorption of the test specimens. The experimental test results confirmed that ductile metal tubes with special collapsed cell geometries were capable of demonstrating auxetic behavior under the applied elastic and inelastic uniaxial strains; both tensile and compressive. Base material plasticity was observed to have an insignificant effect on the auxetic response. Experimental results suggested that the unique deformation mechanism precipitated by the auxetic cell geometries resulted in more stable deformed shapes. Stability in global deformed shapes was observed to increase with an increase in DR value. In addition, the unique auxetic mechanism demonstrated an ability to distribute radial plastic strains uniformly over the height of the auxetic pattern. As a result, plastic strains were experienced by a greater fraction of auxetic tubes; this enhanced the energy-dissipating properties of auxetic specimens in comparison to the tested non-auxetic tubes. Tubes with cell geometries associated with higher DR values exhibited greater energy absorption relative to the non-auxetic specimen. For the same base metal, auxetic specimens exhibited greater axial strength and effective strain range, when compared to their non-auxetic counterparts. The increased strength was partially attributed to the increased cell wall thickness of the auxetic specimens. However, the increased strain range was attributed to the rotation in unit cells induced by the unique auxetic geometry. Experimental test data was used to validate the finite element (FE) and simplified macromechanical modeling approaches. These methods were adopted to develop design tools capable of replicating material performance and behavior as well as accurately predicting failure loads. Load-deformation response and effective Poisson's ratio behavior was established using FE models of as-built specimens, while simplified macromechanical equations were derived based on the equilibrium of forces to compute failure loads in tension. These equations relied on pattern geometry and measured experimental unit cell deformations. It was established that the manufacturing process had a detrimental effect on the properties of the aluminum specimens. Accordingly, empirical modifications were applied to the aluminum material model to capture this effect. FE models accurately replicated load-deformation behavior for both non-auxetic and auxetic specimens. Hence, the FE modeling approach was shown to be an effective tool for predicting material properties and response in ductile metal tubes without the need for experimental testing. The simplified strength equations also described material failure with reasonable accuracy, supporting their implementation as effective design tools to gauge tube strength. It is recommended that FE models be refined further through the addition of failure criteria and damage accumulation in material models. The result of this study established that auxetic behavior could be induced in ductile metal tubes through the introduction of unique cell geometry, thereby making them highly tunable and capable of exhibiting variable mechanical properties. Owing to their deformation mechanism and NPR behavior, auxetic tubes demonstrated geometric stability at greater deformations, which highlighted their potential for use as structural elements in systems designed to deform while bearing extreme loads e.g earthquakes and blast events. Additionally, the capability of auxetic geometries to distribute strains uniformly along their length was linked to the potential development of energy-dissipating structural components. It was suggested that new knowledge acquired in this study about auxetic behavior in ductile metals could support the development of new structural systems or methods of structural control based on NPR behavior. Finally, recommendations for future research were presented, based on the expansion of research to study the effects of multiple loading regimes and parametric changes on auxeticity as well as additional mechanical characteristics e.g shear resistance. / Master of Science / Special structures known as Auxetics have been studied that exhibit counterintuitive behavior based on their geometric configuration. The novel shapes and architecture of these structures allow them to deform such that they expand laterally in tension and contract laterally in compression; a property known as negative Poisson's ratio (NPR) which is rarely observed in naturally-occurring materials. Auxetic materials demonstrate mechanical properties such as high resilience, indentation resistance, and energy-absorption. An experimental and analytical study was undertaken to explore the beneficial properties of auxetic behavior, along with the effect of inelastic deformations in ductile metal auxetics. To this end, tubular test specimens, made with steel and aluminum, were designed and manufactured. To achieve auxetic behavior, a unique array of collapsed cells was cut out from metal tubes using a laser cutting process. Subsequently, specimens were tested in the laboratory under cyclic and monotonic loads. Experimental results indicate that tubes with auxetic geometries exhibited NPR behavior and a unique deformation mechanism based on the rotation of the unit cells. Owing to this mechanism, auxetic specimens possessed greater geometric stability under applied axial deformations, when compared to the tested non-auxetic specimens. The deformation mechanism was also responsible for a uniform distribution of strains along the length of the auxetic geometry which was linked to relatively better energy absorbing capacity than the non-auxetic tubes. Developed finite element (FE) models captured the response and behavior of all specimens with good accuracy. Derived simplified strength equations were also able to calculate the ultimate tensile failure loads for all specimens accurately. Both numerical methods demonstrated the potential to be utilized as design and evaluation tools for predicting material properties. Finally, recommendations to expand research, based on metal auxetic structures, were presented to further our understanding of auxetic behavior in ductile metals and to explore its benefits under varying loading regimes. Results from this research can be used to support the design of new structural systems or methods to control existing structures by exploiting NPR properties of ductile metal auxetics. Furthermore, energy-dissipating properties of metal auxetic materials may prove to be beneficial for structural applications under extreme loading conditions such as earthquakes and blasts.

A rake receiver, which resolves multipath signals corrupted by a fading channel, is the most complex and power consuming block of a modem chip. Therefore, it is essential to design a rake receiver be efficient in hardware and power. We investigated a design of a rake receiver for the WCDMA (Wideband Code Division Multiple Access) system, which is a third generation wireless communication system. Our rake receiver design is targeted for mobile units, in which low-power consumption is highly important. We made judicious judgments throughout our design process to reduce the overall circuit complexity by trading with the performance. The reduction of the circuit complexity results in low power dissipation for our rake receiver. As the first step in the design of a rake receiver, we generated a software prototype in MATLAB. The prototype included a transmitter and a multipath Rayleigh fading channel, as well as a rake receiver with four fingers. Using the software prototype, we verified the functionality of all blocks of our rake receiver, estimated the performance in terms of bit error rate, and investigated trade-offs between hardware complexity and performance. After the verification and design trade-offs were completed, we manually developed a rake receiver at the RT (Register Transfer) level in VHDL. We proposed and incorporated several schemes in the RT level design to enhance the performance of our rake receiver. As the final step, the RT level design was synthesized to gate level circuits targeting TSMC 0.18 mm CMOS technology under the supply voltage of 1.8 V. We estimated the performance of our rake receiver in area and power dissipation. Our experimental results indicate that the total power dissipation for our rake receiver is 56 mW and the equivalent NAND2 circuit complexity is 983,482. We believe that the performance of our rake receiver is quite satisfactory. / Master of Science

Pour respecter les contraintes sur l’efficacité pour une machine électrique, il est important de faire une évaluation précise des pertes. Dans le cas des machines à aimants permanents alimentées par un onduleur à MLI, le contenu harmonique haute fréquence lié à la modulation peut rajouter des pertes additionnelles dans la machine que les modèles classiques ont tendance à négliger. Le développement de nouveaux modèles de pertes qui tiennent compte des pertes additionnelles, va permettre d’améliorer des méthodes d’analyse et de conception de machines électriques. Dans ce travail de recherche, différentes méthodes pour estimer les pertes dans les machines synchrones à aimants permanents, y compris les pertes mécaniques, les pertes magnétiques et les pertes cuivre sont présentées. Une nouvelle expression pour estimer les pertes magnétiques dans les tôles en tenant compte de l’effet de peau généré par des courants harmoniques de haute fréquence est élaborée. Concernant les pertes d’hystérésis, un algorithme pour l’identification de cycles mineurs est présenté. Un autre modèle analytique pour l’estimation des pertes MLI dans le stator de la machine à aimants permanents et une nouvelle approche pour l’estimation directe des pertes par courant de Foucault dans les tôles par calcul de champ en 2D sont aussi développés. La méthodologie pour la conception d’une machine à aimants permanents montés en surface est brièvement décrite. Un prototype a été conçu et mise en oeuvre pour mesurer les pertes dans différentes conditions de fonctionnement et valider les modèles de pertes. Différents modèles pour les pertes magnétiques sont comparés afin de sélectionner la méthode la plus appropriée dans le domaine du temps ou de la fréquence. Cette méthode est ensuite validée pour un large éventail de conditions de fonctionnement. Les pertes dans deux rotors à aimants permanents (avec et sans segmentation des aimants) sont comparés. L’effet de la segmentation des aimants et le choix du matériel pour la culasse du rotor sont aussi analysés. Les résultats sont ensuite utilisés pour valider les performances d’un modèle analytique pour estimer les pertes par courant de Foucault dans les aimants permanents. / In order to respect the constraints for efficiency in an electrical machine, losses should be accurately estimated. In the case of a permanent magnet machine fed by a PWM supply, the high frequency harmonic content of the current (associated with the modulation scheme), may generate additional losses in the machine which the conventional models tend to overlook. Development of new models which may take account of these additional losses will allow us to improve the analysis and design of the electrical machines. In this work various models for the prediction of losses in a permanent magnet machine including the mechanical losses, copper losses and magnetic losses are presented. A new loss expression for taking account of the skin effect in a laminated magnetic material due to high frequency harmonic content of the stator current is developed. Regarding hysteresis losses, an algorithm for the identification of the minor hysteresis cycles is presented. An analytical model for the estimation of the PWM losses in the stator of the permanent magnet machine, and a new method for the direct estimation of eddy current losses in the lamination material by 2D-FE analysis are also developed. The design methodology for the design of a surface mounted permanent magnet machine is briefly described. A prototype machine is designed and realised to measure the losses in a variety of operating conditions and validate the loss models. Various models for magnetic losses are compared in order to find the most appropriate method in the time or frequency domains. The method which offers the best performance is then validated in a wide range of operating conditions. The losses in two PM rotors (with or without magnet segmentation) are compared and the effect of magnet segmentation and the choice of rotor yoke material are investigated by 2D FE analysis. These results are also used to evaluate the performance of an analytical model for the prediction of eddy current losses in the rotor magnets.

Soumise à une sollicitation sismique importante, une structure de génie civil peut être endommagée. Cela se traduit par l'apparition de fissures et donc une réduction de ses propriétés élastiques de la structure. Cependant, dans le cas d'un événement sismique d'amplitude inférieure, la variation observée est seulement transitoire. Elle consiste en une perturbation brutale de la fréquence et de l'amortissement suivie d'un recouvrement lent vers leurs valeurs initiales. Ce phénomène non linéaire de relaxation est appelé Dynamique Lente. Il s'explique par la fermeture progressive des fissures initialement présentes dans la structure et qui ont été ouvertes par la sollicitation. Nous avons observé en laboratoire que l'analyse de la Dynamique Lente dans une poutre avant et après son endommagement permet de détecter cette augmentation de la densité de fissures. La sensibilité différentielle des modes à une dégradation locale indique, de plus, une piste pour le développement d'une méthode de localisation de l'endommagement. L'étude de la Dynamique Lente que nous avons menée dans deux structures de génie civil a montré que nous pouvions également y détecter l'apparition de l'endommagement. Le suivi de l'amortissement de manière continue a mis en évidence une relation linéaire entre l'amortissement et l'intensité des vibrations ambiantes à la fois dans les poutres et les structures de génie civil. Nous expliquons celle-ci via l'application du théorème Fluctuation-Dissipation à ces systèmes. Les résultats en laboratoire et la proximité de l'expression de la relation avec les équations utilisées dans le cas de la Dynamique Lente suggère une dépendance de ce phénomène vis à vis de la densité des hétérogénéités dans le matériau composant la structure. De plus amples recherches sont cependant nécessaires afin d'expliquer complètement nos observations et ainsi pouvoir les utiliser dans le cadre de la surveillance des structures uniquement à partir de données de très faible amplitude. / During strong seismic loadings, a structure may be damaged. This results in the appearing of cracks and then a reduction of the elastic properties of the structure. The degradation remains only transitory in the case of smaller seismic events. It consists in a sharp disruption of both the frequency and damping followed by their slow recovery to their initial values. This non linear phenomenon is called Slow Dynamics. It is explained by the gradual closing of the cracks which were initially present in the material and which were opened during the loading. We observed in the laboratory that the analysis of the Slow Dynamics in a beam before and after it is damaged allows to detect the increase of the crack density. The different sensitivties of the modes regarding a local damaging indicates a track to develop a method to locate the damages. The study of the Slow Dynamics in civil engineering structures demonstrated the possibility to detect the damaging also in this kind of system. The continuous monitoring of the damping highlighted a linear relationship between damping and the intensity of the ambiante vibration in the case of both the beams and real case structures. We explain this relation by applying the Fluctuation-Dissipation to these systems. Laboratory results and the proximity of the expression of the linear relationship wit hthe equations used in the theory of the Slow Dynamics suggest a dependency of this phenonmenon on the density of heterogeneities in the structure. Further research is however required in order to fully explain our observations and thus, to use them to monitor the state of health of structures.

Les écoulements biphasiques en milieux poreux sont généralement accompagnés par des phénomènes d'émulsification d'une phase dans l'autre. Les causes peuvent être nombreuses, de la digitation visqueuse aux instabilités purement capillaires. Cette thèse expérimentale a pour objet l'étude d'un mécanisme particulier d'émulsification de l'huile en milieu poreux, ainsi que le transport des gouttes produites dans des milieux confinés. Dans la première partie de cette thèse, l'instabilité gravito-capillaire de Rayleigh-Taylor est revisitée dans un coin formé entre deux plaques de verre centimétriques. La présence d'un gradient de confinement introduit une force capillaire supplémentaire à cette instabilité canonique, susceptible de stabiliser une couche de liquide suspendue au-dessus du vide. Le seuil de stabilité, les longueurs d'onde caractéristiques et les taux de croissance sont bien modélisés par une analyse de stabilité linéaire de l'interface. La caractérisation de cette force capillaire induite par le gradient de confinement nous amène par la suite à l'étude d'une instabilité purement capillaire se produisant lorsqu'un fluide en mouillage très favorable migre vers les régions les plus confinées d'un coin, occupées initialement par un fluide en mouillage moins favorable. Le gradient de confinement introduit alors une force déstabilisante, aboutissant à l'inversion de la position respective des deux phases. Le liquide le moins mouillant est complètement émulsifié et transporté vers les régions les moins confinées sous la forme de gouttelettes. Une analyse de stabilité linéaire de l'interface permet, là encore, de prédire cette sélection de taille. Les taux de croissance mesurés ne sont en revanche pas en accord avec la modélisation, basée sur la loi de Darcy. Leur valeur suggère une localisation de la dissipation visqueuse dans les lignes de contact déplacées durant le développement de l'instabilité, ainsi que dans les films de lubrification également déposés. Ces dynamiques "non-darciennes" nous ont amenés dans une seconde partie de la thèse à l'étude du transport de gouttes d'huile très visqueuses confinées dans de l'eau en mouillage total. Dans cette configuration, la présence de films de lubrification d'eau entre la goutte et le substrat assure la localisation de la dissipation dans les films peu visqueux, favorisant ainsi la mobilité des gouttes. Nous montrons également que la présence de rugosités sur les parois du confinement induit un ralentissement significatif de la vitesse des gouttes, lié à l'amincissement du film de lubrification par ces rugosités. L'interdépendance subtile entre friction visqueuse à l'avant de la goutte et dans son volume est notamment mise en lumière. Dans une dernière partie, nous étudions l'instabilité capillaire se produisant lorsqu'une goutte binaire d'eau et d'alcool est déposée à la surface d'un bain d'huile. L'évaporation majoritaire de l'alcool à la surface de la goutte induit des variations locales de la tension de surface. Des écoulements interfaciaux de Marangoni se produisent, et aboutissent à la déstabilisation spectaculaire de la goutte en étalement. / Biphasic flows in porous media generally lead to the emulsification of one phase into the other. This may be due to several phenomena, such as viscous fingering or pure capillary instabilities. In this experimental thesis, we study a particular emulsifying phenomenon of oil in a model porous medium, as well as the transport of the produced droplets in confined regions. In the first part of the manuscript, the Rayleigh-Taylor instability is revisited in a wedge formed between two centimetric glass plates. The gradient of confinement leads to a capillary force not present in the canonical Rayleigh-Taylor instability. This new force can stabilize liquid layer above air submitted to gravity. The threshold of the instability, the characteristic wavelength and the growth rate are captured by a linear stability analysis of the interface. This characterization of the confinement-induced capillary force drove us to the study of a pure capillary instability occurring when a wetting liquid migrates toward the most confined regions of a wedge, initially filled with a less wetting liquid. The gradient of confinement generates a destabilizing force, leading to the complete inversion of the position of both phases. The less wetting liquid is fully emulsified and the produced droplets are convected towards the less confined regions. A linear stability analysis of the interface here again predicts the characteristic size of the droplets. However, the measured growth rates are not in agreement with the model, based on the Darcy law. This suggests a localization of viscous dissipation in the contact lines displaced during the development of the instability. Another source of viscous dissipation can be in the deposited lubrication films. Those "non-Darcian" dynamics motivated the second part of this thesis, which focuses on the motion of very viscous and non-wetting droplets confined in water. In this configuration, the lubrication film of water between the drop and the substrate ensures the localization of viscous dissipation in those films of low viscosity. This favors the extremely high mobility of the droplets. We also show that wall roughness may induce a thinning of these lubrication films. We shed light on the intricate coupling between viscous friction at the front of the drop and in its bulk. In a last part of this work, we study the capillary instability occurring when a binary droplet of water and alcohol is deposited at the surface of a vegetable oil bath. The dominant evaporation of alcohol at the surface of the drop induces local variations of surface tension. Interfacial Marangoni flows are thus observed, leading to the spectacular destabilization of the spreading droplet

In this work the semiclassical hybrid dynamics is extended in order to be capable of treating open quantum systems considering finite baths. The corresponding phenomena, i.e. decoherence and dissipation, are investigated for various scenarios.

Cette thèse présente les résultats de travaux visant à étudier les interactions entre les conditions hydrodynamiques et le comportement bactérien en bioréacteur. En s'intéressant plus particulièrement aux phénomènes agissant aux petites échelles, nous avons cherché à identifier, caractériser et quantifier les couplages hydro-bio à l'échelle de la cellule. Ici, la souche Lactococcus lactis a été choisie comme modèle microbiologique, alors qu’un réacteur de type Couette a été préféré afin d’engendrer des contraintes hydrodynamiques connues et définies. Il a été démontré que dans des conditions spécifiques d’écoulement (Modulated Wavy Vortex Flow), les bactéries lactiques s’agrègent au sein d’une matrice riche en polysaccharides. Le lien entre ce phénotype atypique et les contraintes locales liées à l’écoulement a été étudié { l’aide de simulation numérique directe de l’écoulement combiné { un suivi de particule. Cette approche permet d’établir les profils temporels des contraintes subies et de comparer la nature des forces disruptives subies au mécanisme d’agrégation séparation des cellules bactériennes au sein de leur matrice. Ce travail de recherche donne ainsi d’autres exemples d’interactions cellule – environement en bioréacteurs, mettant en exergue des effets mécaniques / The aim of this work is to reach a better understanding of environmental effects on bacterial behaviour in bioreactors. Particular attention has been paid to hydrodynamically-induced stresses at the cell scale, with a view to characterizing and quantifying these local interactions. As a “model experiment”, Lactococcus lactis NCDO2118 has been cultivated in a CouetteBioreactor, a device generating a known and defined flow field. Under specific flow regime (Modulated Wavy Vortex Flow), the cells end up being entrapped in a polysaccharidic matrix. The phenotype of the cells has been demonstrated to be strongly affected by the flow conditions. The stress signal encountered by the cells has been characterized, through umerical simulation (Direct Numerical Simulation) and lagrangian particle tracking, and linked to the phenotypic expression. These studies provide further examples of bacterial response to local hydrodynamic conditions

Ce travail de thèse est consacré à l’étude de la dissipation mécanique produite par des alliages à mémoire de forme Cu-Zn-Al lors d'un chargement mécanique cyclique, ainsi qu'à l’influence de la composition chimique sur cette grandeur. Divers alliages ont été élaborés dans ce but, chacun présentant une faible variation de composition par rapport à l’autre. Une procédure expérimentale originale a été mise au point pour mesurer cette dissipation mécanique car elle se traduit par une source de chaleur très inférieure à celles dues à d’autres phénomènes comme la chaleur latente de changement de phase ou le couplage thermoélastique. Les éprouvettes ont ainsi été soumises à divers essais cycliques à température ambiante constante alors qu’une caméra infrarouge filmait les champs thermiques sur leur surface. Ces films thermiques ont ensuite été traités pour en extraire cette dissipation mécanique. Divers niveaux de dissipation correspondant à divers niveaux d’irréversibilité mécanique ont ainsi été mis en évidence. / The study deals with the mechanical dissipation in Cu-Zn-Al shape memory alloys subjected to cyclic mechanical loading, as well as with the influence of the chemical composition on this dissipation. Various alloys were prepared for this purpose, each of them featuring a slight change with respect to the others. An original procedure has been proposed to measure mechanical dissipation because it is very low compared to other heat sources such as latent heat or thermoelastic coupling. The specimens have been subjected to cyclic tests at constant ambient temperature while an infrared camera grabbed the thermal images. These thermal maps have been then processed to extract mechanical dissipation. Various levels have been found, corresponding to various levels of mechanical irreversibilities.

L'allumage d'ergols injectés dans une chambre de combustion, la propagation du noyau de flamme puis sa stabilisation sont autant de paramètres déterminants pour la conception d'un moteur fusée. Pour ce type d'application, il est nécessaire - du point de vue de la modélisation - de tenir compte du couplage existant entre les effets de compressibilité, les processus de mélange turbulent ainsi que de cinétique chimique, dans un environnement diphasique puisque les ergols sont injectés à l'état liquide. Un modèle Lagrangien a été implanté dans le code de calcul compressible N3S-Natur afin de disposer d'un outil numérique capable de simuler le transitoire d'allumage d'un moteur fusée. La physique représentative de chacun des processus physiques impliqués pendant la phase d'allumage a été incorporée puis validée sur des configurations académiques. Ce travail a permis de mettre en évidence l'importance de la description du mélange à petites échelles pour capturer correctement le développement de la flamme. Il a aussi mis en exergue la nécessité de prendre en compte le transitoire thermique des gouttes d'oxygène liquide afin de reproduire fidèlement sa stabilisation. Enfin, il a nécessité l'extension de la notion de fraction de mélange à des cas pratiques présentant plus de deux entrées afin d'être en mesure de simuler la propagation de l'allumage sur la plaque d'injection. Cette approche basée sur l'introduction d'un injecteur fictif est non seulement utile pour la simulation de l'allumage des moteurs-fusées mais peut aussi être employée dans tout autre système impliquant le mélange entre des courants de réactifs issus de deux entrées ou plus. / In the field of liquid rocket propulsion, ignition, propagation and stabilization of the flame are of first importance for the design of the engine. Computational fluid dynamics (CFD) solvers may provide a great deal of help to proceed with the primary design choice but need to be fed with suited physical models. Important modelling efforts are therefore required to provide reliable computational representations able to take into account compressibility effects, turbulent mixing and chemical kinetics in two-phase flows since ergols are injected at the liquid state. A Lagrangian model has been implemented in the compressible solver N3S-Natur so as to obtain a computational tool able to compute the transient ignition of rocket engines. The physical processes involved at each step of this ignition sequence have been integrated and validated on academically configurations. Three significant contributions rose from this work. First of all, it is highlighted that the description of the micro-mixing is of first importance to correctly capture the flame development. This study also emphasized the need to consider the transient heating of liquid oxygen droplets in order to accurately compute the flame stabilization. Finally, the notion of mixture fraction must be extended to practical devices implying more than two inlets. The proposed approach which is based on the introduction of a fictive injector is not only well suited to rocket engine ignition application but also to deal with other practical devices implying two inlets and more.

Les mousses liquides sont utilisées dans de nombreux domaines de la vie quotidienne. Leur excellente capacité à dissiper de l'énergie en fait également des matériaux très utilisés dans le domaine militaire pour atténuer les ondes de souffle émises lors d'une explosion. Dans cette thèse, nous avons conçu un dispositif expérimental original nous permettant de visualiser la déformation d'une mousse liquide lors de l'impact d'une onde de souffle en sortie d'un tube à choc. Nous mesurons la surpression en plusieurs points de la mousse, sur une gamme de 5 à 50 kPa. Nous mettons en évidence une atténuation de pression qui augmente avec la taille des bulles puis sature, tous les autres paramètres, notamment la fraction liquide, étant maintenus constants. Ces résultats sont interprétés avec un modèle de dissipation thermique à l'échelle de la bulle suggérant l'existence d'un maximum d'atténuation pour une taille de bulles donnée. Nous caractérisons ensuite la vitesse de propagation de l'onde au sein de la mousse. Aux petites amplitudes, la vitesse suit le modèle de Wood, basé sur une propagation linéaire dans un milieu continu effectif. Aux plus hautes amplitudes, nous mettons en évidence l'apparition d'un régime non linéaire, avec une vitesse de propagation plus importante et une atténuation plus faible, ces deux phénomènes étant retrouvés à la fois théoriquement et numériquement. Près de la source, la mousse est détruite par le choc. Nous terminons notre étude avec des résultats plus qualitatifs sur la quantité de mousse détruite et la vitesse de propagation du front de rupture, visualisées pour la première fois dans une mousse tridimensionnelle. / Liquid foams are used in various domains in our everyday life. Their excellent ability to dissipate energy makes foams widely used in the military domain to mitigate blast waves produced after an explosion. In this Thesis, we have designed an original experimental setup allowing us to image the deformation of a liquid foam after the impact of a blast wave exiting a shock tube. We also measure the overpressure in the foam, within a range of 5 to 50\,kPa. We evidence a pressure attenuation, increasing and then saturating at increasing bubble size, while all the other parameters of the foam, especially liquid fraction, are kept constant. Those results are interpreted with a thermal dissipation model at the bubble scale, suggesting the existence of a maximum dissipation for a given bubble size. We then characterise the wave velocity in the foam. At small amplitudes, the velocity follows Wood's model, based on linear propagation in an effective continuous medium. At greater amplitudes, we show the apparition of a non-linear regime, with a higher propagation velocity and a lower attenuation, those two features being captured theoretically and numerically. Close to the source, the foam is destroyed by the shock. We close our study with more qualitative results on the quantity of destroyed foam and the propagation velocity of the rupture front, which have been evidenced for the first time in a three-dimensional foam.