Le chauffage des matériaux cosmétiques peut provoquer une exsudation de surface sous la forme de petites gouttes puis un retrait des gouttes associé à un processus de recristallisation. Des méthodes rhéologiques et de diffusion multiple de la lumière ont permis une étude des effets d’exsudation et de recristallisation en fonction de la température de chauffage, du vieillissement et de la plasticité du matériau. Des simulations numériques et un modèle phénoménologique basés sur la prolifération de fissures métastables et la croissance hors équilibre d’amas de défauts liquides susceptibles de crever la surface permettent de rendre compte des effets d’exsudation et de recristallisation variables selon la plasticité de la matrice semi-cristalline et la teneur en huile dans le matériau soumis à une perturbation thermique. / The heating of cosmetic materials can generate an external sweating phenomenon shown by the formation of droplets, followed by a withdrawal of the droplets due to the recrystallization process. Rheological methods and light scattering allowed to study the effects of sweating and re-crystallization in term of heating temperature, aging, and material’s elasticity. Numerical simulations and a phenomenological model based on the multiplication of metastable cracks and the growth outside of equilibrium state of liquid default pits able to burst the surface proves the sweating effects and the re-crystallization variable depending on the semi-crystalline matrix and the percentile of oil in the material under thermal fluctuation.

The macroscopic behavior of complex heterogeneous materials is strongly governed by the interactions between their elementary constituents within their microstructure. Beside experimental efforts characterizing the behaviors of such materials, there is growing interest, in view of the increasing computational power available, in building models representing their microstructural systems integrating the elementary behaviors of their constituents and their geometrical organization. While a large number of contributions on this aspect focus on the investigation of advanced physics in material parameter studies using rather simple geometries to represent the spatial organization of heterogeneities, few are dedicated to the exploration of the role of microstructural geometries by means of morphological parameter studies.<p>The critical ingredients of this second type of investigation are (I) the generation of sets of representative volume elements ( RVE ) describing the geometry of microstructures with a satisfying control on the morphology relevant to the material of interest and (II) the discretization of governing equations of a model representing the investigated physics on those RVEs domains. One possible reason for the under-representation of morphologically detailed RVEs in the related literature may be related to several issues associated with the geometrical complexity of the microstructures of considered materials in both of these steps. Based on this hypothesis, this work is aimed at bringing contributions to advanced techniques for the generation and discretization of microstructures of complex heterogeneous materials, focusing on geometrical issues. In particular, a special emphasis is put on the consistent geometrical representation of RVEs across generation and discretization methodologies and the accommodation of a quantitative control on specific morphological features characterizing the microstructures of the covered materials.<p>While several promising recent techniques are dedicated to the discretization of arbitrary complex geometries in numerical models, the literature on RVEs generation methodologies does not provide fully satisfying solutions for most of the cases. The general strategy in this work consisted in selecting a promising state-of-the-art discretization method and in designing improved RVE generation techniques with the concern of guaranteeing their seamless collaboration. The chosen discretization technique is a specific variation of the generalized / extended finite element method that accommodates the representation of arbitrary input geometries represented by level set functions. The RVE generation techniques were designed accordingly, using level set functions to define and manipulate the RVEs geometries. <p>The RVE methodologies developed are mostly morphologically motivated, incorporating governing parameters allowing the reproduction and the quantitative control of specific morphological features of the considered materials. These developments make an intensive use of distance fields and level set functions to handle the geometrical complexity of microstructures. Valuable improvements were brought to the RVE generation methodologies for several materials, namely granular and particle-based materials, coated and cemented geomaterials, polycrystalline materials, cellular materials and textile-based materials. RVEs produced using those developments have allowed extensive testing of the investigated discretization method, using complex microstructures in proof-of-concept studies involving the main ingredients of RVE-based morphological parameter studies of complex heterogeneous materials. In particular, the illustrated approach offers the possibility to address three crucial aspects of those kinds of studies: (I) to easily conduct simulations on a large number of RVEs covering a significant range of morphological variations for a material, (II) to use advanced constituent material behaviors and (III) to discretize large 3D RVEs. Based on those illustrations and the experience gained from their realization, the main strengths and limitations of the considered discretization methods were clearly identified. / Doctorat en Sciences de l'ingénieur / info:eu-repo/semantics/nonPublished

L'emploi de matériaux composites dans le domaine du Génie Electrique est actuellement un sujet de recherche en plein essor, notamment pour des considérations d’économie d'énergie. Les composites magnétiques doux (SMC - Soft Magnetic Composites) intègrent les propriétés de leurs différents constituants. Ils sont conçus pour présenter une perméabilité élevée et avoir une faible densité de pertes par courants de Foucault (EC - Eddy Current) par comparaison aux structures plus classiques comme l'acier laminé. Néanmoins, la détermination des propriétés électromagnétiques des SMC n’est pas aisée. Une approche classique est d’appliquer les outils numériques tels que la méthode des éléments finis (FEM - Finite Element Method) pour obtenir une description complète du SMC. Cependant, la microstructure doit être finement maillée, ce qui représente un fardeau numérique significatif et des instabilités dans l'approche par FEM. Pour surmonter cette restriction, les méthodes d'homogénéisation semi-analytiques sont appliquées. Ce travail consiste d'abord à développer un modèle de perméabilité complexe pour SMC. La perméabilité magnétique et les pertes EC sont intégrées respectivement comme les parties réelle et imaginaire de la perméabilité complexe. La perméabilité magnétique effective macroscopique peut s’obtenir par des estimations classiques en homogénéisation. Une détermination correcte de la perméabilité effective, i.e. la partie réelle de la perméabilité complexe, est cruciale pour une estimation précise de pertes EC. Les formules de pertes EC sont dérivées pour des SMC à microstructure périodique dans les cas 2D et 3D. En outre, différentes approches s’appuyant sur différentes moyennes du champ magnétique permettent d’obtenir des limites inférieures et supérieures pour l’estimation des pertes EC dans les SMC. La perméabilité complexe ainsi obtenue est ensuite appliquée à une structure de transformateur. Le champ magnétique et la répartition des pertes EC peuvent être obtenus sur le transformateur équivalent (homogénéisé). Les résultats sont comparés aux calculs en champ complet du transformateur hétérogène. Un bon accord est observé. Enfin, on étudie l'effet des contraintes mécaniques sur la perméabilité magnétique et les pertes EC des SMC, ce qui conduit à une formule couplée de la densité de pertes EC en fonction de la contrainte macroscopique et du champ magnétique. / Composite materials have been widely used in Electrical Engineering, and they have stimulated a growing number of scientific research, especially when it comes to energy savings. Soft Magnetic Composites (SMC) incorporate the attributes of different constituents. They can be designed to exhibit high permeability and to dissipate low Eddy Current (EC) losses compared to more conventional structures such as laminated steel. Nevertheless, electromagnetic properties of SMC are not easily determined. Numerical tools such as finite element method (FEM) are usually employed to provide a full-field description of SMC. As the microstructure has to be finely meshed, it brings significant numerical burden and instabilities. To overcome this restriction, semi-analytical homogenization methods are adapted and applied here. They consist in developing a complex permeability model. In the complex permeability model for SMC, the static magnetic permeability and EC losses are integrated respectively as the real and imaginary part of the complex permeability. Classical estimates are applied to determine the macroscopic effective magnetic permeability. A correct determination of the effective permeability, i.e. the real part of the complex permeability, is crucial for the estimate of EC losses. EC losses formulas are derived for SMC with periodic microstructure in 2D and 3D cases. Furthermore, different approaches of field averaging are employed to obtain lower and upper bounds on the EC losses in SMC. The complex permeability model is then applied to analyze a transformer structure. The magnetic field and EC losses distribution can be obtained on the equivalent homogenized transformer. The results are compared to the full-field calculations on the heterogeneous transformer. A good consistency is observed. Finally, the effect of mechanical stress on the magnetic permeability and loss property of SMC is studied, which leads to a coupled formula of EC loss density as a function of macroscopic stress and magnetic field.

This work focuses on understanding the impact-initiated combustion of aluminum powder compacts. Aluminum is typically one of the components of intermetallic-forming structural energetic materials (SEMs), which have the desirable combination of rapid release of thermal energy and high yield strength. Aluminum powders of various sizes and different levels of mechanical pre-activation are investigated to determine their reactivity under uniaxial stress rod-on-anvil impact conditions, using a 7.62 mm gas gun. The compacts reveal light emission due to combustion upon impact at velocities greater than 170 m/s. Particle size and mechanical pre-activation influence the initiation of aluminum combustion reaction through particle-level processes such as localized friction, strain, and heating, as well as continuum-scale effects controlling the amount of energy required for compaction and deformation of the powder compact during uniaxial stress loading. Compacts composed of larger diameter aluminum particles (~70µm) are more sensitive to impact initiated combustion than those composed of smaller diameter particles. Additionally, mechanical pre-activation by high energy ball milling (HEBM) increases the propensity for reaction initiation. Direct imaging using high-speed framing and IR cameras reveals light emission and temperature rise during the compaction and deformation processes. Correlations of these images to meso-scale CTH simulations reveal that initiation of combustion reactions in aluminum powder compacts is closely tied to mesoscale processes, such as particle-particle interactions, pore collapse, and particle-level deformation. These particle level processes cannot be measured directly because traditional pressure and velocity sensors provide spatially averaged responses. In order to address this issue, quantum dots (QDs) are investigated as possible meso-scale pressure sensors for probing the shock response of heterogeneous materials directly. Impact experiments were conducted on a QD-polymer film using a laser driven flyer setup at the University of Illinois Urbana-Champaign (UIUC). Time-resolved spectroscopy was used to monitor the energy shift and intensity loss as a function of pressure over nanosecond time scales. Shock compression of a QD-PVA film results in an upward shift in energy (or a blueshift in the emission spectra) and a decrease in emission intensity. The magnitude of the shift in energy and the drop in intensity are a function of the shock pressure and can be used to track the particle scale differences in the shock pressure. The encouraging results illustrate the possible use of quantum dots as mesoscale diagnostics to probe the mechanisms involved in the impact initiation of combustion or intermetallic reactions.

[pt] Esta tese é composta por três ensaios. Os dois primeiros investigam a relação entre a renda per capita das famílias e as frações dos gastos setoriais, tanto em séries temporais quanto em cross-section nos EUA do pós-guerra. O primeiro usa uma abordagem parcial para estimar o aumento da dispersão do consumo (renda) e os efeitos de renda nos EUA de 1980 a 2010. Mostramos que os efeitos da renda são heterogêneos entre as famílias agrupadas por quintis de renda e, em seguida, a dispersão do consumo é correlacionada com as duas principais forças de transformação estrutural (efeitos de preço e renda) na contabilização da magnitude de transformação estrutural nas partes das despesas de consumo nos EUA durante esse período. O segundo estende um modelo canônico de Bewley-Aiyagari em tempo contínuo incorporado a um ambiente de dois setores para representar quantitativamente três regularidades empíricas nos EUA do pós-guerra (o preço relativo dos bens cai e a parcela de gastos dos produtos cai sistematicamente com a renda per capita, tanto em séries temporais quanto no cross-section) sem se afastar das preferências padrão Stone-Geary. Avaliamos a importância de mudanças na renda e nos preços relativos para mudanças estruturais nas parcelas dos gastos de consumo nos EUA do pós-guerra e concluímos que são forças equivalentes. Reforçamos que a conciliação dessas três principais regularidades empíricas nos EUA do pós-guerra exige uma teoria do crescimento que acomode a demanda de longo prazo e forneça fatores de mudança estrutural. Finalmente, o terceiro ensaio usa um conjunto de dados de painel exclusivo com registros administrativos em nível individual de transações de crédito, benefícios do programa, demografia individual e características de contratos de trabalho para estudar como os consumidores respondem a um choque de liquidez decorrente de liberações de saques de contas inativas do Fundo de Garantia por tempo de serviço (FGTS) no Brasil em 2017. Usando um design de identificação de diferenças entre diferenças, encontramos um aumento no consumo e uma dívida total diminuída após o anúncio: durante até doze meses subsequentes, para cada USD 1 de benefício do programa, os consumidores a média aumentaram os gastos de consumo em USD 0,53 - 25 porcento dos quais ocorrem durante a janela de anúncio - e a dívida total diminuiu em USD 0,07, especialmente em dívidas de folha de pagamento. A resposta ao consumo ocorreu principalmente por meio de gastos com cartão de crédito, mas também foram encontradas evidências de bens duráveis financiados por dívida. Os consumidores endividados usaram liquidez de curto prazo nas modalidades de dívida (cheque especial e dívida com cartão de crédito), além dos gastos com cartão de crédito para suavizar consumo. Consumidores restritos, medidos como jovens ou idosos, mostraram respostas mais fortes ao consumo. / [en] This thesis is comprised of three essays. The first two investigate the relationship between households per capita income and sectoral expenditure shares both in times series and in cross-section in the postwar US. The first uses a partial approach to estimate the rise of consumption (income) dispersion and income effects in the US from 1980 to 2010. We show that income effects are heterogeneous across households grouped by income quintiles and then consumption dispersion correlates the two main driving forces of structural change (price and income effects) in accounting for the magnitude of structural change in the shares of consumption expenditure in the US over this period. The second extends a canonical Bewley-Aiyagari model in continuous time embedded with a two-sector environment to depict quantitatively three empirical regularities in the postwar US (relative price of goods falls and expenditure shares of goods falls systematically with per capita income, both in times series and in cross-section) without departing from benchmark Stone-Geary preferences. We assess the importance of changes in income and relative prices for structural change in the shares of consumption expenditure in the postwar US and conclude they are nearly equivalent forces. We reinforce that reconciling these three main empirical regularities in the postwar US calls for a growth theory that accommodates long-run demand and supply drivers of structural change. Finally, the third essay uses a unique panel dataset with individual-level administrative records of credit transactions, program benefits, individual demographics and features of labor contracts to study how consumers respond to a liquidity shock arising from withdrawals releases from inactive accounts of the Guarantee Fund for Time of Service (FGTS) in Brazil in 2017. Using a difference-in-differences identification design, we find consumption rose and total debt declined after the announcement: during up to twelve subsequent months, for each USD 1 of program benefit, consumers on average increased consumption spending by USD 0.53 - 25 percent of which occurs during the announcement window - and total debt declined by USD 0.07, specially in payroll debt. Consumption response occurred mostly via credit card spending, but evidence of debt-financed durables was also found. Indebted consumers used short-term liquidity in debt modalities (overdraft debt and credit card debt) in addition to credit card spending to smooth consumption. Constrained consumers, measured as young or old, showed stronger consumption responses.

De nos jours, les matériaux composites sont très largement utilisés dans l’industrie aéronautique et aérospatiale car ils ont de très bonnes tenues mécaniques, mais ces matériaux comportent de fortes hétérogénéités dues aux fibres et aux liants qui les constituent. Ainsi, depuis de nombreuses années, l’équipe TIFC «Thermal Imaging Fields and Characterization » du département TREFLE de l’institut I2M développe des méthodes de mesure des propriétés thermophysiques de matériaux hétérogènes dans le plan ou dans l’épaisseur. Ces méthodes sont très variées du point de vue des méthodes inverses (transformée intégrale, double décomposition en valeurs singulières, …) ou expérimentale (Flash, diode laser, …). Le faible coût des diodes lasers et des systèmes de déplacement de miroirs galvanométriques ont permis de développer un système complet de scanner optique laser, monté sur un banc de mesure. Il permet de revisiter les différents types de sollicitations thermiques et de réaliser une infinité de combinaisons spatiotemporelles d’excitations thermiques par méthode laser. Ceci est une des principales originalités de ce travail. De nouvelles méthodes inverses basées sur la réponse thermique au point source impulsionnel et sur la séparabilité des champs de température ont été proposées. Ces méthodes ont permis d’estimer le tenseur de diffusivité thermique selon les axes principaux d’anisotropie, mais aussi hors des axes du repère de l’image, où il est possible de déterminer l’orientation des axes d’anisotropie, lorsque le transfert de chaleur s’effectue hors des axes du repère de l’image. Ces méthodes ont permis d’obtenir des résultats intéressants comptetenu de leur simplicité. De plus, elles ont permis d’obtenir des cartographies de diffusivités thermiques dans le plan car, comparées aux autres méthodes, elles permettent d’obtenir des estimations du tenseur de diffusivité thermique localement grâce à l’obtention d’une cartographie de flux thermique surfacique via le scanner optique laser. / Nowadays, composite materials are widely used in the aeronautic and aerospace industries because of their high mechanical resistance. However, they have a large heterogeneity due to the fiber and matrix they are made of. In this way, for many years, the TIC team «Thermal Imaging Fields and Characterization » from TREFLE department of I2M laboratory develops methods to measure thermal in-plane properties of heterogeneous materials such as inverses (integral transforms, double singular value decomposition…) or experimental (Flash, laser diode…) methods. The recent progress made in optical control, lasers and infrared (IR) cameras enables the development of a new scanning system (based on galvanometer-mirror) which allows the easy control of a laser hot spot spatial and temporal displacements over a plane surface. The low cost of laser diodes and optical control (galvanometric mirror) systems allows to develop a laser scanning system fixed on a test bench. We can revisit the different types of thermal excitation and realize infinite spatio-temporal combinations of thermal excitations by laser method. This is one of this thesis aims. New inverse methods based on the thermal response to an instantaneous point source heating, and temperature fields separability, have been proposed. These methods allow to estimate the thermal diffusivity tensor along the main axes of anisotropy, but also out of those axes, where it is possible to estimate the anisotropy axes orientation when the heat transfer takes place out of the image axes. These methods have produced interesting results in view of their simplicity. Moreover, they made it possible to obtain in-plane thermal diffusivities maps because, compared to the other methods, they allow to obtain, locally, thermal diffusivity tensor estimations by getting a surface heat flux map using the laser optical scanner.

La thermographie infrarouge est une méthode largement employée pour la caractérisation des propriétés thermophysiques des matériaux. L’avènement des diodes laser pratiques, peu onéreuses et aux multiples caractéristiques, étendent les possibilités métrologiques des caméras infrarouges et mettent à disposition un ensemble de nouveaux outils puissants pour la caractérisation thermique et le contrôle non desturctif. Cependant, un lot de nouvelles difficultés doit être surmonté, comme le traitement d’une grande quantité de données bruitées et la faible sensibilité de ces données aux paramètres recherchés. Cela oblige de revisiter les méthodes de traitement du signal existantes, d’adopter de nouveaux outils mathématiques sophistiqués pour la compression de données et le traitement d’informations pertinentes. Les nouvelles stratégies consistent à utiliser des transformations orthogonales du signal comme outils de compression préalable de données, de réduction et maîtrise du bruit de mesure. L’analyse de sensibilité, basée sur l’étude locale des corrélations entre les dérivées partielles du signal expérimental, complète ces nouvelles approches. L'analogie avec la théorie dans l'espace de Fourier a permis d'apporter de nouveaux éléments de réponse pour mieux cerner la «physique» des approches modales.La réponse au point source impulsionnel a été revisitée de manière numérique et expérimentale. En utilisant la séparabilité des champs de température nous avons proposé une nouvelle méthode d'inversion basée sur une double décomposition en valeurs singulières du signal expérimental. Cette méthode par rapport aux précédentes, permet de tenir compte de la diffusion bi ou tridimensionnelle et offre ainsi une meilleure exploitation du contenu spatial des images infrarouges. Des exemples numériques et expérimentaux nous ont permis de valider dans une première approche cette nouvelle méthode d'estimation pour la caractérisation de diffusivités thermiques longitudinales. Des applications dans le domaine du contrôle non destructif des matériaux sont également proposées. Une ancienne problématique qui consiste à retrouver les champs de température initiaux à partir de données bruitées a été abordée sous un nouveau jour. La nécessité de connaitre les diffusivités thermiques du matériau orthotrope et la prise en compte des transferts souvent tridimensionnels sont complexes à gérer. L'application de la double décomposition en valeurs singulières a permis d'obtenir des résultats intéressants compte tenu de la simplicité de la méthode. En effet, les méthodes modales sont basées sur des approches statistiques de traitement d'une grande quantité de données, censément plus robustes quant au bruit de mesure, comme cela a pu être observé. / Infrared thermography is a widely used method for characterization of thermophysical properties of materials. The advent of the laser diodes, which are handy, inexpensive, with a broad spectrum of characteristics, extend metrological possibilities of infrared cameras and provide a combination of new powerful tools for thermal characterization and non destructive evaluation. However, this new dynamic has also brought numerous difficulties that must be overcome, such as high volume noisy data processing and low sensitivity to estimated parameters of such data. This requires revisiting the existing methods of signal processing, adopting new sophisticated mathematical tools for data compression and processing of relevant information.New strategies consist in using orthogonal transforms of the signal as a prior data compression tools, which allow noise reduction and control over it. Correlation analysis, based on the local cerrelation study between partial derivatives of the experimental signal, completes these new strategies. A theoretical analogy in Fourier space has been performed in order to better understand the «physical» meaning of modal approaches.The response to the instantaneous point source of heat, has been revisited both numerically and experimentally. By using separable temperature fields, a new inversion technique based on a double singular value decomposition of experimental signal has been introduced. In comparison with previous methods, it takes into account two or three-dimensional heat diffusion and therefore offers a better exploitation of the spatial content of infrared images. Numerical and experimental examples have allowed us to validate in the first approach our new estimation method of longitudinal thermal diffusivities. Non destructive testing applications based on the new technique have also been introduced.An old issue, which consists in determining the initial temperature field from noisy data, has been approached in a new light. The necessity to know the thermal diffusivities of an orthotropic medium and the need to take into account often three-dimensional heat transfer, are complicated issues. The implementation of the double singular value decomposition allowed us to achieve interesting results according to its ease of use. Indeed, modal approaches are statistical methods based on high volume data processing, supposedly robust as to the measurement noise.