Poly (caprolactone) (PCL) has been widely studied as a model system for investigating polymer crystallization. In this thesis, PCL crystallization along with other phase transitions in PCL-based polymer blends are studied as Langmuir films at the air/water (A/W) interface. In order to understand the phase behavior of PCL-based blends, surface pressure induced crystallization of PCL in single-component Langmuir monolayers was first studied by Brewster angle microscopy (BAM). PCL crystals observed during film compression exhibit butterfly-shapes. During expansion of the crystallized film, polymer chains detach from the crystals and diffuse back into the monolayer as the crystals "melt". Electron diffraction on Langmuir-Schaefer films suggests that the lamellar crystals are oriented with the chain axes perpendicular to the substrate surface, while atomic force microscopy (AFM) reveals a crystal thickness of ~ 7.6 nm. In addition, the competition between lower segmental mobility and a greater degree of undercooling with increasing molar mass produces a maximum average growth rate at intermediate molar mass. PCL was blended with poly(t-butyl acrylate) (PtBA) to study the influence of PtBA on the morphologies of PCL crystals grown in monolayers. For PCL-rich blends, BAM studies reveal dendritic morphologies of PCL crystals. The thicknesses of the PCL dendrites are ~ 7-8 nm. BAM studies during isobaric area relaxation experiments at different surface pressure reveal morphological transitions from highly branched dendrites, to six-arm dendrites, four-arm dendrites, seaweedlike crystals, and distorted rectangular crystals. In contrast, PCL crystallization is suppressed in PtBA-rich blend films. For immiscible blends of PCL and polystyrene (PS) with intermediate molar masses as Langmuir films, the surface concentration of PCL is the only factor influencing surface pressure below the collapse transition. For PS-rich blends, both BAM and AFM studies reveal that PS nanoparticle aggregates formed at very low surface pressure form networks during film compression. For PCL-rich blends, small PS aggregates serve as heterogeneous nucleation centers for the growth of PCL crystals. During film expansion, BAM images show a gradual change in the surface morphology from highly continuous networklike structures (PS-rich blends) to broken ringlike structures (intermediate composition) to small discontinuous aggregates (PCL-rich blends). / Ph. D.

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Analyses of heat and mass transfer between different materials and phases are essential in numerous fundamental scientific problems and practical engineering applications, such as thermal and chemical transport in porous media, design of heat exchangers, dendritic growth during solidification, and thermal/mechanical analysis of additive manufacturing processes. In the numerical simulation, interface treatment can be further divided into sharp interface schemes and diffuse interface schemes according to the morphological features of the interface. This work focuses on the following subjects through computational studies: (1) critical evaluation of the various sharp interface schemes in the literature for conjugate heat and mass transfer modeling with the lattice Boltzmann method (LBM), (2) development of a novel sharp interface scheme in the LBM for conjugate heat and mass transfer between materials/phases with very high transport property ratios, and (3) development of a new diffuse-interface phase-field-lattice Boltzmann method (PFM/LBM) for dendritic growth and solidification modeling. For comparison of the previous sharp interface schemes in the LBM, the numerical accuracy and convergence orders are scrutinized with representative test cases involving both straight and curved geometries. The proposed novel sharp interface scheme in the LBM is validated with both published results in the literature as well as in-house experimental measurements for the effective thermal conductivity (ETC) of porous lattice structures. Furthermore, analytical correlations for the normalized ETC are proposed for various material pairs and over the entire range of porosity based on the detailed LBM simulations. In addition, we provide a modified correlation based on the SS420-air and SS316L-air metal pairs and the high porosity range for specific application. The present PFM/LBM model has several improved features compared to those in the literature and is capable of modeling dendritic growth with fully coupled melt flow and thermosolutal convection-diffusion. The applicability and accuracy of the PFM/LBM model is verified with numerical tests including isothermal, iso-solutal and thermosolutal convection-diffusion problems in both 2D and 3D. Furthermore, the effects of natural convection on the growth of multiple crystals are numerically investigated.

Morphological development during crystallization of thin films of poly(ethylene oxide) (PEO) / poly(methyl methacrylate) (PMMA) blends has been reported. Studies have focused on the effects of the blend composition, PMMA molecular weight, film thickness, and crystallization temperature on the observed crystal morphology. As the blend composition was varied from 90 to 30 wt% PEO, the crystal morphology varied from spherulites to needles and dendrites. Variation of the crystallization temperature and PMMA molecular weight resulted in similar changes in morphology. A morphological map demonstrating the roles of the experimental controls on the observed crystal morphology has been developed. This map was used as a tool for more detailed studies of the observed morphologies and morphological transitions. The dendritic region of the map (~ 30 = 40 wt% PEO) was studied in detail. Changes in the diffusion length were achieved through variation of the PMMA molecular weight, and were shown to influence the secondary sidebranch spacing. Sidebranch spacing measurements revealed that coarsening of the dendritic microstructure occurred well after the competition between diffusion fields of neighboring dendrite arms vanished, indicating the existence of another coarsening mechanism. These studies of dendritic sidebranching indicate that polymer dendrites develop by mechanisms similar to those in small molecules and metals. A number of in-situ observations of morphological transitions have also been reported, including a dense-branched morphology (DBM)/dendrite transition, a DBM/stacked-needle/needle transition, and a transition from dendrites with 90o sidebranching to dendrites with 45o branching or a dense-branched morphology, both of which grow at 45o to the original dendrite trunk. The DBM/dendrite transition occurred over a range of crystallization temperatures, indicating that the transition is not sharp. Crystal growth rate measurements verified this result. The DBM/stacked-needle/needle transitions demonstrated distinct jumps in the crystal growth rate, indicating a change in the growth mechanism or direction. For the transition involving a change in the growth direction, the effective level of noise (fluctuation) was found to be important in morphological selection. The results of this work have helped to define new directions for the study of crystal morphologies, especially in the areas of spherulite formation and dendritic growth. / Ph. D.

La modélisation multi-échelle des procédés de solidification présente un grand intérêt pour les industries. Toutefois, il est difficile de coupler les phénomènes prenant place à de multiples échelles pour obtenir des simulations quantitatives à grande échelle. Ceci est réalisé en combinant trois méthodes : les éléments finis (FE), un automate cellulaire (CA) et la méthode Parabolic Thick Needle(PTN). La méthode FE permet une résolution des équations de conservation écrites pour des quantités moyennées, ce qui est adapté aux calculs de grands domaines. Elle permet la description macroscopique des transferts de chaleur et de masse. De plus, la méthode CA permet de suivre le développement de l’enveloppe de chaque grain dendritique à une échelle mésoscopique. Le couplage de ces deux méthodes est le modèle CAFE et il a démontré son efficacité pour simuler quantitativement la solidification et notamment la transition colonnaire - équiaxe. Le Dendritic Needle Network (DNN) est une méthode mésoscopique introduite récemment. Celle-ci s’appuie sur la conservation de la masse de soluté à proximité des pointes dendritiques pour calculer avec précision leur cinétique de croissance. Comme cette méthode repose sur l’estimation directe du gradient de composition à l’interface solide/liquide, le régime de croissance n’est plus supposé stationnaire. Nous introduisons la méthode Parabolic Thick Needle PTN reprenant la méthode de croissance du DNN pour une pointe. Elle est implémentée avec une méthode des éléments finis pour résoudre le flux de soluté est largement validé par rapport aux résultats analytiques provenant de la solution d’Ivantsov. Le couplage du CAFE avec la cinétique de croissance provenant du PTN permet d’obtenir un modèle unique de solidification s’appuyant sur 3 échelles. La grille CA gère à la fois la forme des enveloppes des grains et les mécanismes de ramification. Le maillage FE est utilisé pour résoudre les problèmes de flux et de conservation de masse et d’énergie à la fois à l’échelle de la couche de soluté de la pointe et à l’échelle du domaine simulé. Ceci est rendu possible grâce à une stratégie de remaillage anisotrope multi-critères. Diverses simulations démontrent les capacités du modèle. Les pistes d’amélioration sont développées pour espérer, à terme, une simulation 3D d’expériences de laboratoire. / Multiscale modelling of solidification processes is of great interest for industries. However coupling the multiple scale phenomena to reach quantitative large simulations is challenging. This is achieved using a combination of three methods : the Finite Element (FE), the Cellular Automaton (CA) and the Parabolic Thick Needle (PTN). The FE method provides a solution of the conservation equations, written for volume average quantities, that is suitable for large domain size computations. It serves for macroscopic description of heat and mass transfers. Additionally, the CA method tracks the development of the envelope of each individual dendritic grain at a mesoscopic scale. The coupling of these two methods is the CAFE model and was demonstrated to provide efficient and quantitative simulations of the columnar-to-equiaxed transition for instance. The Dendritic Needle Network (DNN) is another mesoscopic method recently introduced. It uses solute mass balance considerations in the vicinity of the tip of the dendrites to compute accurately the growth kinetics. Because it relies on adirect estimation of the composition gradient at the solid-liquid interface, steady state growth regime is no longer assumed. We introduce the Parabolic Thick Needle (PTN) method inspired from the DNN’s computed growth idea for one dendritetip. Its implementation with a FE method to solve the solute flow is extensively validated against analytical results given by the Ivantsov solution. Coupling CAFE with PTN computed growth kinetics provides a unique solidification model. The CA grid handles both the shape of the grain envelopes and branching mechanisms. The FE mesh is used to solve flux and conservation of mass and energy at both the scale of the dendrite tip solute layer and the domain dimensions. It is possible thanks to adaptive remeshing strategies. Various simulations demonstrate the capabilities of the model. The improvement areas are being developed in order to hope, in the long term, for 3D simulation laboratory experiments.

La technologie Lithium-air développée par EDF utilise une électrode à air qui fonctionne avec un électrolyte aqueux ce qui empêche l’utilisation de lithium métal non protégé comme électrode négative. Une membrane céramique (LATP:Li1+xAlxTi2-x(PO4)3) conductrice d’ion Li+ est utilisée pour séparer le milieu aqueux de l’électrode négative. Cependant, cette céramique n'est pas stable au contact du lithium, il est donc nécessaire d'intercaler entre le lithium et la céramique un matériau conducteur des ions Li+. Celui-ci devant être stable au contact du lithium et empêcher ou fortement limiter la croissance dendritique. Ainsi, ce projet s'est intéressé à l'étude d'électrolytes copolymères à blocs (BCE).Tout d'abord, l'étude des propriétés physico-chimiques spécifiques de ces BCEs en cellule lithium-lithium symétrique a été réalisée notamment les propriétés de transport (conductivités, nombre de transport), et la résistance à la croissance dendritique du lithium. Puis dans un second temps, l'étude des composites BCE-céramique a été mise en place. Nous nous sommes en particulier focalisés sur l'analyse du transfert ionique polymère-céramique.Plusieurs techniques de caractérisation ont été utilisées telles que la spectroscopie d'impédance électrochimique (transport et interface), le SAXS (morphologies des BCEs), la micro-tomographie par rayons X (morphologies des interfaces et des dendrites).Pour des électrolytes possédant un nombre de transport unitaire (single-ion), nous avons obtenus des résultats remarquables concernant la limitation à la croissance dendritique. La micro-tomographie des rayons X a permis de montrer que le mécanisme de croissance hétérogène dans le cas des single-ion est très différent de celui des BCEs neutres (t+ < 0.2). / The lithium-air (Li-air) technology developed by EDF uses an air electrode which works with an aqueous electrolyte, which prevents the use of unprotected lithium metal electrode as a negative electrode. A Li+ ionic conductor glass ceramic (LATP:Li1+xAlxTi2-x(PO4)3) has been used to separate the aqueous electrolyte compartment from the negative electrode. However, this glass-ceramic is not stable in contact with lithium, it is thus necessary to add between the lithium and the ceramic a buffer layer. In another hand, this protection should ideally resist to lithium dendritic growth. Thus, this project has been focused on the study of block copolymer electrolytes (BCE).In a first part, the study of the physical and chemical properties of these BCEs in lithium symmetric cells has been realized especially transport properties (ionic conductivities, transference number), and resistance to dendritic growth. Then, in a second part, the composites BCE-ceramic have been studied.Several characterization techniques have been employed and especially the electrochemical impedance spectroscopy (for the transport and the interface properties), the small angle X-ray scattering (for the BCE morphologies) and the hard X-ray micro-tomography (for the interfaces and the dendrites morphologies). For single-ion BCE, we have obtained interesting results concerning the mitigation of the dendritic growth. The hard X-ray micro-tomography has permitted to show that the mechanism involved in the heterogeneous lithium growth in the case of the single-ion is very different from the one involved for the neutral BCEs (t+ < 0.2).