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Modelling the transition from channel-veins to PSBs in the early stage of fatigue testsZhu, Yichao January 2012 (has links)
Dislocation channel-veins and persistent slip bands (PSBs) are characteristic dislocation configurations that are of interest to both industry and academia. However, existing mathematical models are not adequate to describe the mechanism of the transition between these two states. In this thesis, a series of models are proposed to give a quantitative description to such a transition. The full problem has been considered from two angles. Firstly, the general motion and instabilities of arbitrary curved dislocations have been studied both analytically and numerically. Then the law of motion and local expansions are used to track the shapes of screw segments moving through channels, which are believed to induce dislocation multiplication by cross-slip. The second approach has been to investigate the collective behavior of a large number of dislocations, both geometrically necessary and otherwise. The traditional method of multiple scales does not apply well to describe the pile-up of two arrays of dislocations of opposite signs on a pair of neighbouring glide planes in two dimensional space. Certain quantities have to be more accurately defined under the multiple-scale coordinates to capture the much more localised resultant stress caused by these dislocation pairs. Through detailed calculations, one-dimensional dipoles can be homogenised to obtain some insightful results both on a local scale where the dipole pattern is the key diagnostic and on a macroscopic scale on which density variations are of most interest. Equilibria of dislocation dipoles in a two-dimensional regular lattice have been also studied. Some natural transitions between different patterns can be found as a result of geometrical instabilities.
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Efeitos da estrutura da paisagem sobre o controle biológico do bicho-mineiro-do-cafeeiro (Leucoptera coffeella, Lepidoptera: Lyonetiidae) provido por aves e morcegos / Landscape structure effects on the biological control of the coffee-leaf-miner (Leucoptera coffeella, Lepidoptera: Lyonetiidae) provided by birds and batsEmbid, Felipe Miguel Libran 10 June 2015 (has links)
O controle biológico de pragas agrícolas é um dos serviços ecossistêmicos mais valorizados, dada sua importância para a produção agrícola. Embora vários estudos tenham demonstrado que a abundância e riqueza de predadores aumentam com a quantidade de floresta nativa, os mecanismos subjacentes que modulam a relação entre a cobertura florestal e provisão de controle biológico em diferentes escalas espaciais são ainda pouco conhecidos. Neste trabalho, utilizamos experimentos de exclusão de vertebrados voadores em oito paisagens cafeeiras na Mata Atlântica, num gradiente de cobertura florestal, e quantificamos as consequências para a perda foliar e para a frutificação. A perda foliar mostrou uma relação negativa com a cobertura florestal em paisagens com 2 km de raio, indicando que a herbivoria é melhor controlada em paisagens com alta cobertura florestal, especialmente na presença de aves e morcegos. No entanto, no nível local, 300 m ao redor das plantas de café, a perda foliar e a frutificação responderam diferentemente à cobertura florestal. Em unidades com baixa cobertura florestal local, a exclusão de aves e morcegos aumentou a perda foliar e diminuiu a frutificação em uma média de 13%. Por outro lado, em unidades com alta cobertura florestal local, a exclusão de aves e morcegos não teve efeitos significativos nem na perda foliar, nem na frutificação. Concluímos que os efeitos da exclusão de aves e morcegos na perda foliar e frutificação são modulados por diferentes processos que ocorrem no nível local e da paisagem. Sugerimos que quando a cobertura florestal local é alta (geralmente perto de fragmentos florestais), as aves e os morcegos não se alimentam apenas de herbívoros, mas também de mesopredadores. No entanto, quando a cobertura florestal local é baixa (e.g. longe de fragmentos florestais), os mesopredadores não ocorrem e aves e morcegos passam a prover serviço de controle biológico de pragas, alimentando-se principalmente de herbívoros. Destacamos a importância de empregar uma análise multiescalar em sistemas onde espécies com diferentes capacidades de dispersão proveem um serviço ecossistêmico. / Biological control of agricultural pests is one of the most important ecosystem services given its key role for agricultural production. Although several studies have shown that the abundance and richness of predators increase with the amount of native forest in the landscape, the underlying mechanisms relating forest cover at different spatial scales with the provision of biological control are still poorly understood. We experimentally excluded flying vertebrates (birds and bats) in eight coffee landscapes in the Brazilian Atlantic Forest, encompassing a gradient of forest cover and quantified the consequences for coffee leaf loss and fruit set. Leaf loss showed a negative relation with forest cover at landscape level, in landscapes with 2 km radius, indicating that herbivory is better controlled in landscapes with high forest cover, especially in the presence of birds and bats. However, at local level, 300 m around coffee plants, leaf loss and fruit set responded to forest cover differently. In units with low local forest cover exclusion of birds and bats increased leaf loss and reduced fruit set by 13% in mean. However, in units with high local forest cover, exclusion of birds and bats had no significant effect neither on leaf loss nor in fruit set. We concluded that the effects of birds and bats exclusion on leaf loss and fruit set are modulated by different processes occurring at landscape and local levels. We hypothesized that when local forest cover is high (usually near remnant forest fragments) birds and bats are not only controlling herbivores but may also be reducing mesopredators, while when local forest cover is low (e.g. far from forest fragments), mesopredators do not occur and birds and bats start providing biological pest control by feeding mainly on herbivores. We highlight the importance of employing a multiscale analysis in systems where species with different dispersal abilities are providing an ecosystem service.
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Efeitos da estrutura da paisagem sobre o controle biológico do bicho-mineiro-do-cafeeiro (Leucoptera coffeella, Lepidoptera: Lyonetiidae) provido por aves e morcegos / Landscape structure effects on the biological control of the coffee-leaf-miner (Leucoptera coffeella, Lepidoptera: Lyonetiidae) provided by birds and batsFelipe Miguel Libran Embid 10 June 2015 (has links)
O controle biológico de pragas agrícolas é um dos serviços ecossistêmicos mais valorizados, dada sua importância para a produção agrícola. Embora vários estudos tenham demonstrado que a abundância e riqueza de predadores aumentam com a quantidade de floresta nativa, os mecanismos subjacentes que modulam a relação entre a cobertura florestal e provisão de controle biológico em diferentes escalas espaciais são ainda pouco conhecidos. Neste trabalho, utilizamos experimentos de exclusão de vertebrados voadores em oito paisagens cafeeiras na Mata Atlântica, num gradiente de cobertura florestal, e quantificamos as consequências para a perda foliar e para a frutificação. A perda foliar mostrou uma relação negativa com a cobertura florestal em paisagens com 2 km de raio, indicando que a herbivoria é melhor controlada em paisagens com alta cobertura florestal, especialmente na presença de aves e morcegos. No entanto, no nível local, 300 m ao redor das plantas de café, a perda foliar e a frutificação responderam diferentemente à cobertura florestal. Em unidades com baixa cobertura florestal local, a exclusão de aves e morcegos aumentou a perda foliar e diminuiu a frutificação em uma média de 13%. Por outro lado, em unidades com alta cobertura florestal local, a exclusão de aves e morcegos não teve efeitos significativos nem na perda foliar, nem na frutificação. Concluímos que os efeitos da exclusão de aves e morcegos na perda foliar e frutificação são modulados por diferentes processos que ocorrem no nível local e da paisagem. Sugerimos que quando a cobertura florestal local é alta (geralmente perto de fragmentos florestais), as aves e os morcegos não se alimentam apenas de herbívoros, mas também de mesopredadores. No entanto, quando a cobertura florestal local é baixa (e.g. longe de fragmentos florestais), os mesopredadores não ocorrem e aves e morcegos passam a prover serviço de controle biológico de pragas, alimentando-se principalmente de herbívoros. Destacamos a importância de empregar uma análise multiescalar em sistemas onde espécies com diferentes capacidades de dispersão proveem um serviço ecossistêmico. / Biological control of agricultural pests is one of the most important ecosystem services given its key role for agricultural production. Although several studies have shown that the abundance and richness of predators increase with the amount of native forest in the landscape, the underlying mechanisms relating forest cover at different spatial scales with the provision of biological control are still poorly understood. We experimentally excluded flying vertebrates (birds and bats) in eight coffee landscapes in the Brazilian Atlantic Forest, encompassing a gradient of forest cover and quantified the consequences for coffee leaf loss and fruit set. Leaf loss showed a negative relation with forest cover at landscape level, in landscapes with 2 km radius, indicating that herbivory is better controlled in landscapes with high forest cover, especially in the presence of birds and bats. However, at local level, 300 m around coffee plants, leaf loss and fruit set responded to forest cover differently. In units with low local forest cover exclusion of birds and bats increased leaf loss and reduced fruit set by 13% in mean. However, in units with high local forest cover, exclusion of birds and bats had no significant effect neither on leaf loss nor in fruit set. We concluded that the effects of birds and bats exclusion on leaf loss and fruit set are modulated by different processes occurring at landscape and local levels. We hypothesized that when local forest cover is high (usually near remnant forest fragments) birds and bats are not only controlling herbivores but may also be reducing mesopredators, while when local forest cover is low (e.g. far from forest fragments), mesopredators do not occur and birds and bats start providing biological pest control by feeding mainly on herbivores. We highlight the importance of employing a multiscale analysis in systems where species with different dispersal abilities are providing an ecosystem service.
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Numerial modelling based on the multiscale homogenization theory. Application in composite materials and structuresBadillo Almaraz, Hiram 16 April 2012 (has links)
A multi-domain homogenization method is proposed and developed in this thesis based on a two-scale technique. The method is capable of analyzing composite structures with several periodic distributions by partitioning the entire domain of the composite into substructures making use of the classical homogenization theory following a first-order standard continuum mechanics formulation. The need to develop the multi-domain homogenization method arose because current homogenization methods are based on the assumption that the entire domain of the composite is represented by one periodic or quasi-periodic distribution. However, in some cases the structure or composite may be formed by more than one type of periodic domain distribution, making the existing homogenization techniques not suitable to analyze this type of cases in which more than one recurrent configuration appears. The theoretical principles used in the multi-domain homogenization method were applied to assemble a computational tool based on two nested boundary value problems represented by a finite element code in two scales: a) one global scale, which treats the composite as an homogeneous material and deals with the boundary conditions, the loads applied and the different periodic (or quasi-periodic) subdomains that may exist in the composite; and b) one local scale, which obtains the homogenized response of the representative volume element or unit cell, that deals with the geometry distribution and with the material properties of the constituents.
The method is based on the local periodicity hypothesis arising from the periodicity of the internal structure of the composite. The numerical implementation of the restrictions on the displacements and forces corresponding to the degrees of freedom of the domain's boundary derived from the periodicity was performed by means of the Lagrange multipliers method. The formulation included a method to compute the homogenized non-linear tangent constitutive tensor once the threshold of nonlinearity of any of the unit cells has been surpassed. The procedure is based in performing a numerical derivation applying a perturbation technique. The tangent constitutive tensor is computed for each load increment and for each iteration of the analysis once the structure has entered in the non-linear range. The perturbation method was applied at the global and local scales in order to analyze the performance of the method at both scales. A simple average method of the constitutive tensors of the elements of the cell was also explored for comparison purposes. A parallelization process was implemented on the multi-domain homogenization method in order to speed-up the computational process due to the huge computational cost that the nested incremental-iterative solution embraces. The effect of softening in two-scale homogenization was investigated following a smeared cracked approach. Mesh objectivity was discussed first within the classical one-scale FE formulation and then the concepts exposed were extrapolated into the two-scale homogenization framework. The importance of the element characteristic length in a multi-scale analysis was highlighted in the computation of the specific dissipated energy when strain-softening occurs.
Various examples were presented to evaluate and explore the capabilities of the computational approach developed in this research. Several aspects were studied, such as analyzing different composite arrangements that include different types of materials, composites that present softening after the yield point is reached (e.g. damage and plasticity) and composites with zones that present high strain gradients. The examples were carried out in composites with one and with several periodic domains using different unit cell configurations. The examples are compared to benchmark solutions obtained with the classical one-scale FE method. / En esta tesis se propone y desarrolla un método de homogeneización multi-dominio basado en una técnica en dos escalas. El método es capaz de analizar estructuras de materiales compuestos con varias distribuciones periódicas dentro de un mismo continuo mediante la partición de todo el dominio del material compuesto en subestructuras utilizando la teoría clásica de homogeneización a través de una formulación estándar de mecánica de medios continuos de primer orden. La necesidad de desarrollar este método multi-dominio surgió porque los métodos actuales de homogeneización se basan en el supuesto de que todo el dominio del material está representado por solo una distribución periódica o cuasi-periódica. Sin embargo, en algunos casos, la estructura puede estar formada por más de un tipo de distribución de dominio periódico.
Los principios teóricos desarrollados en el método de homogeneización multi-dominio se aplicaron para ensamblar una herramienta computacional basada en dos problemas de valores de contorno anidados, los cuales son representados por un código de elementos finitos (FE) en dos escalas: a) una escala global, que trata el material compuesto como un material homogéneo. Esta escala se ocupa de las condiciones de contorno, las cargas aplicadas y los diferentes subdominios periódicos (o cuasi-periódicos) que puedan existir en el material compuesto; y b) una escala local, que obtiene la respuesta homogenizada de un volumen representativo o celda unitaria. Esta escala se ocupa de la geometría, y de la distribución espacial de los constituyentes del compuesto así como de sus propiedades constitutivas.
El método se basa en la hipótesis de periodicidad local derivada de la periodicidad de la estructura interna del material. La implementación numérica de las restricciones de los desplazamientos y las fuerzas derivadas de la periodicidad se realizaron por medio del método de multiplicadores de Lagrange. La formulación incluye un método para calcular el tensor constitutivo tangente no-lineal homogeneizado una vez que el umbral de la no-linealidad de cualquiera de las celdas unitarias ha sido superado. El procedimiento se basa en llevar a cabo una derivación numérica aplicando una técnica de perturbación. El tensor constitutivo tangente se calcula para cada incremento de carga y para cada iteración del análisis una vez que la estructura ha entrado en el rango no-lineal. El método de perturbación se aplicó tanto en la escala global como en la local con el fin de analizar la efectividad del método en ambas escalas. Se lleva a cabo un proceso de paralelización en el método con el fin de acelerar el proceso de cómputo debido al enorme coste computacional que requiere la solución iterativa incremental anidada. Se investiga el efecto de ablandamiento por deformación en el material usando el método de homogeneización en dos escalas a través de un enfoque de fractura discreta. Se estudió la objetividad en el mallado dentro de la formulación clásica de FE en una escala y luego los conceptos expuestos se extrapolaron en el marco de la homogeneización de dos escalas. Se enfatiza la importancia de la longitud característica del elemento en un análisis multi-escala en el cálculo de la energía específica disipada cuando se produce el efecto de ablandamiento.
Se presentan varios ejemplos para evaluar la propuesta computacional desarrollada en esta investigación. Se estudiaron diferentes configuraciones de compuestos que incluyen diferentes tipos de materiales, así como compuestos que presentan ablandamiento después de que el punto de fluencia del material se alcanza (usando daño y plasticidad) y compuestos con zonas que presentan altos gradientes de deformación. Los ejemplos se llevaron a cabo en materiales compuestos con uno y con varios dominios periódicos utilizando diferentes configuraciones de células unitarias. Los ejemplos se comparan con soluciones de referencia obtenidas con el método clásico de elementos finitos en una escala.
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Analysis of 3D objects at multiple scales : application to shape matchingMellado, Nicolas 06 December 2012 (has links)
Depuis quelques années, l’évolution des techniques d’acquisition a entraîné une généralisation de l’utilisation d’objets 3D très dense, représentés par des nuages de points de plusieurs millions de sommets. Au vu de la complexité de ces données, il est souvent nécessaire de les analyser pour en extraire les structures les plus pertinentes, potentiellement définies à plusieurs échelles. Parmi les nombreuses méthodes traditionnellement utilisées pour analyser des signaux numériques, l’analyse dite scale-space est aujourd’hui un standard pour l’étude des courbes et des images. Cependant, son adaptation aux données 3D pose des problèmes d’instabilité et nécessite une information de connectivité, qui n’est pas directement définie dans les cas des nuages de points. Dans cette thèse, nous présentons une suite d’outils mathématiques pour l’analyse des objets 3D, sous le nom de Growing Least Squares (GLS). Nous proposons de représenter la géométrie décrite par un nuage de points via une primitive du second ordre ajustée par une minimisation aux moindres carrés, et cela à pour plusieurs échelles. Cette description est ensuite derivée analytiquement pour extraire de manière continue les structures les plus pertinentes à la fois en espace et en échelle. Nous montrons par plusieurs exemples et comparaisons que cette représentation et les outils associés définissent une solution efficace pour l’analyse des nuages de points à plusieurs échelles. Un défi intéressant est l’analyse d’objets 3D acquis dans le cadre de l’étude du patrimoine culturel. Dans cette thèse, nous nous étudions les données générées par l’acquisition des fragments des statues entourant par le passé le Phare d’Alexandrie, Septième Merveille du Monde. Plus précisément, nous nous intéressons au réassemblage d’objets fracturés en peu de fragments (une dizaine), mais avec de nombreuses parties manquantes ou fortement dégradées par l’action du temps. Nous proposons un formalisme pour la conception de systèmes d’assemblage virtuel semi-automatiques, permettant de combiner à la fois les connaissances des archéologues et la précision des algorithmes d’assemblage. Nous présentons deux systèmes basés sur cette conception, et nous montrons leur efficacité dans des cas concrets. / Over the last decades, the evolution of acquisition techniques yields the generalization of detailed 3D objects, represented as huge point sets composed of millions of vertices. The complexity of the involved data often requires to analyze them for the extraction and characterization of pertinent structures, which are potentially defined at multiple scales. Amongthe wide variety of methods proposed to analyze digital signals, the scale-space analysis istoday a standard for the study of 2D curves and images. However, its adaptation to 3D dataleads to instabilities and requires connectivity information, which is not directly availablewhen dealing with point sets.In this thesis, we present a new multi-scale analysis framework that we call the GrowingLeast Squares (GLS). It consists of a robust local geometric descriptor that can be evaluatedon point sets at multiple scales using an efficient second-order fitting procedure. We proposeto analytically differentiate this descriptor to extract continuously the pertinent structuresin scale-space. We show that this representation and the associated toolbox define an effi-cient way to analyze 3D objects represented as point sets at multiple scales. To this end, we demonstrate its relevance in various application scenarios.A challenging application is the analysis of acquired 3D objects coming from the CulturalHeritage field. In this thesis, we study a real-world dataset composed of the fragments ofthe statues that were surrounding the legendary Alexandria Lighthouse. In particular, wefocus on the problem of fractured object reassembly, consisting of few fragments (up to aboutten), but with missing parts due to erosion or deterioration. We propose a semi-automaticformalism to combine both the archaeologist’s knowledge and the accuracy of geometricmatching algorithms during the reassembly process. We use it to design two systems, andwe show their efficiency in concrete cases.
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Uma abordagem multi-escala para a geração de mosaicos / A multi-scale approach for mosaic generationSampaio, João Roberto de Godoy 25 April 2007 (has links)
Um mosaico é o conjunto de fotos de uma determinada área, recortadas e montadas técnica e artísticamente, de forma a dar a impressão de que todo o conjunto é uma única fotografia. No caso de fotografias aéreas, sua utilização soluciona o problema da necessidade de se retratar uma área de interesse mais extensa do que o campo de cobertura das lentes da câmera utilizada. O foco deste trabalho é a criação automática de mosaicos buscando encontrar a posição real de um conjunto de imagens imagens adquiridas em baixa altitude, de baixa escala, em relação à um Mapa de Base, de escala maior, realizando, assim, uma correlação entre imagens de escalas diferentes. Este problema é abordado por técnicas de análise multi-escala, mais precisamente, pela utilização de filtros de Gabor. A metodologia desenvolvida utiliza um banco de filtros de Gabor aplicado sobre uma imagem de referência de modo que, a partir da aplicação destes filtros sobre a mesma, seja possível gerar um processo automático de geração do mosaico para o restante do conjunto de imagens. Experimentos realizados utilizando o método proposto demonstram a eficácia do mesmo para imagens com texturas de orientação marcante, como o caso de imagens aéreas de plantação de eucaliptos / A mosaic is a set of pictures of a given area, technically and artistically cut and ?glued? together, giving the impression that the entire set resembles a single picture. For aerial photography, the use of mosaics solves the problem of imaging an area of interest whose dimension is much larger than that covered by the majority of the cameras available. This work focuses on the automatic creation of mosaics and aims to compute the real position of a set of images acquired at low altitudes (lower scale), in relation with a base map larger scale), by correlating images in different scales. Multi-scale analysis techniques, in particular, the Gabor filters, constitute an approach to this problem. The proposed methodology uses a bank of Gabor filters applied over a reference image in a way that an automatic process of mosaic generation, with the remaining set of images, could be carried out. Experiments have shown the efficiency of the proposed technique especially for images with clear textural orientation, for example, the case of aerial photographs of eucalyptus plantations
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Towards a rough-fuzzy perception-based computing for vision-based indoor navigationDuan, Tong 10 July 2014 (has links)
An indoor environment could be defined by a complex layout in a compact space. Since mobile robots can be used as substitute for human beings to access harmful and inaccessible locations, the research of autonomous indoor navigation has attracted much interest. In general, a mobile robot navigates in an indoor environment where acquired data are limited. Furthermore, sensor measurements may contain errors in a number of situations. Therefore, the complexity of indoor environment and ability of sensors have determined that it is an insufficient to merely compute with data. This thesis presents a new rough-fuzzy approach to perception-based computing for an indoor navigation algorithm. This approach to perceptual computing is being developed to store, analyze and summarize existing experience in given environment so that the machine is able to detect current situation and respond optimally. To improve uncertainty reasoning of fuzzy logic control, a rough set theory is integrated to regulate inputs before applying fuzzy inference rules. The behaviour extraction is evaluated and adjusted through entropy-based measures and multi-scale analysis. The rough-fuzzy based control algorithm aims to minimize overshoot and optimize transient-state period during navigation. The proposed algorithm is tested through simulations and experiments using practical common situations. The performance is evaluated with respect to desired path keeping and transient-state adaptability.
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Sur l'analyse multiéchelle du changement de morphologie du PET sous l'effet de la température ou des sollicitations mécaniques / Multi-scale analysis of the morphological changes of the PET under the effect of temperature or mechanical stressGong, Yang Hao 06 June 2018 (has links)
Dans ce travail de thèse, nous nous sommes intéressés à la simulation de l’évolution de la microstructure d’un polymère. Plus précisément, nous avons étudié le changement de la morphologie du polyéthylène téréphthalate (PET) sous l’effet de différents mécanismes. Ces simulations sont réalisées par la méthode des champs de phase. Il s’agit d’une méthode basée sur l’équation de Cahn-Hilliard ou l’équation de Ginzburg-Landau. Elle utilise un paramètre d’ordre pour décrire l’état du matériau, des variables thermodynamiques et cinématiques. Ainsi on peut décrire l’évolution d’une microstructure sans suivre l’interface et ainsi reproduire l’évolution de la structure cristalline sphérolitique qui apparait lors d’une cristallisation induite par la température. Dans le cadre d’un changement de morphologie induit par la température, le calcul par champ de phase a été simulé par la méthode de différences finies et la méthode d’éléments finis. Le coefficient cinétique a été identifié à partir de données expérimentales de la littérature. En introduisant un modèle du champ de phases multiples (the MPF model) on a aussi simulé l’évolution de plusieurs sphérolites et gérer la jonction lorsque deux sphérolites se rencontrent. La croissance et la jonction des sphérolite a été modélisée par la méthode d’éléments finis : elle reproduit parfaitement l’évolution expérimentale de cristallisation isotherme d’un polymère. En comparant ces résultats avec le modèle macroscopique d’Avrami, une évaluation de la constante d'Avrami, K(T), a été discutée en fonction des fluctuations des conditions initiales (positions et taille des germes).Dans le cadre de la cristallisation induite par la déformation mécanique, nous avons couplé le champ de phase aux équations de la mécanique pour un comportement viscoélastique différent pour chaque phase. L’influence, sur la cristallisation et l’orientation, de la déformation, de la vitesse de sollicitation, du contraste entre les phases sont étudiées et comparées qualitativement aux observations expérimentales. Il s’agit d’une étude préliminaire qui devra être poursuivie et affinée afin de prédire une morphologie plus réaliste / In this thesis work, we are interested in simulating the evolution of the microstructure of a polymer. In particular, we have studied in the morphology change of polyethylene terephthalate (PET) under different mechanisms. These simulations carried out by the phase field simulation. This method based on the Cahn-Hilliard equation or the Ginzburg-Landau equation. It uses an order parameter to describe the state of material, thermodynamic and kinetic variables. Thus we can describe the microstructure evolution without tracking the interface (which would require complex remeshing) and reproduce the evolution of the crystalline structure within the polymers, for example the growth of spherulites which appear during crystallization induced by temperature. Within the scope the morphology changing by the temperature, the evolution of phase field simulation is performed by the finite difference method and the finite element method. The kinetic coefficient is adjusted in order to fit the experiment data in of the literature. We introduce the multiphase field model (the MPF model) in order to simulate the evolution of several spherulites and to describe the junction of spherulites. The growth and junction of spherulites have been modeled by the finite element method and nicely reproduced in comparing the experimental evolution of isothermal crystallization of a polymer. Comparing these results with the Avrami macroscopic model, an evaluation of the Avrami constant, K (T), was discussed according to the fluctuations of the initial conditions (positions and size of the germs).In the following part, we study the crystallization induced by mechanical deformation. We are interested in the viscoelastic model to simulate the induced crystallization of PET in plane stress. The phase field model coupled to mechanics will be presented. Different viscoelastic behaviors have been considered for each phase. The influence on crystallization and orientation of the deformation, the stress velocity and the contrast between the phases are studied and compared qualitatively with the experimental observations. This is a preliminary study that will have to be continued in order to predict a more realistic morphology
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Caractérisation multi-échelles des phases porteuses des polluants métalliques Zn et Pb dans un sédiment mis en dépôt : de l'analyse de terrain au rayonnement synchrotron / Multi-scale characterisation of the bearing phases of the metallic pollutants Zn and Pb in a deposited sediment : from field studies to synchrotron radiation analysisPoitevin, Antonine 29 November 2012 (has links)
L’entretien des voies navigables en France nécessité des opérations régulières de curage des sédiments. Ces boues de dragage ont parfois été déposées sur des sols nus, sans précaution préalable ou traitement. Cela peut poser des problèmes environnementaux (présence de polluants métalliques), surtout lorsque les sédiments proviennent de zones industrielles et minières comme c’est le cas pour le site étudié (Nord-Pas-de-Calais). L’un des risques principaux est le transfert d’éléments traces métalliques (ETM) dans le sol sous-jacent jusqu’à la nappe. L’objectif de cette étude est d’identifier et de caractériser les porteurs minéralogiques des ETM (limités ici à Zn et Pb) en combinant diverses techniques analytiques chimiques et spectroscopiques. Dans ce travail, nous montrons que dans le cas d’un matériau complexe comme l’anthroposol étudie, il est important d’avoir une approche méthodologique multi-échelle. Pour mener à bien cette étude, nous avons donc réalisé des analyses sur le terrain, des mesures en laboratoire (extractions chimiques séquentielles, DRX, MEB, MSE) et des expériences sur synchrotron (principalement XRF et XANES). Nous avons pu identifier différentes phases porteuses de Zn et Pb, mais nous n’avons pas observe d’évolution nette en fonction de la profondeur. Nous donnons pour finir, diverses pistes pour continuer ce travail. / Sediments originating from periodic dredging of waterways were traditionally deposited on soil without specific precaution or planed treatments. It may be of environmental concern especially when they came from areas historically contaminated with metallic pollutants like in the north French coal basin which is also well industrialised. The main risk is a migration Metallic Trace Elements (MTE) in the underlying soil and groundwater. This study aims to identify and characterise the mineralogical bearing phases of the MTE (limited here to Zn et Pb) by combining various techniques, analytical, chemical and spectroscopic. In this work, we show that in the case of a complex material as our studied anthroposol, it is important to have a multi-scale. Then, we have carried out field analyses, laboratory studies Sequential chemical extraction, XRD, SEM and EPMA) and synchrotron radiation experiment (mainly XRF and XANES). We have indentified various bearing phases of Zn and Pb, but we didn’t observe any clear evolution as a function of the depth. To conclude, we give several directions for completing this work.
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Étude de la transformation martensitique et de la reversion de l’alliage PuGa 1at.% / Study of the martensitic transformation and reversion process in the PuGa 1at.% alloyLalire, Fanny 18 December 2015 (has links)
L’alliage PuGa 1at.% stabilisé en phase δ n’existe que dans un état métastable et présente donc un caractère très sensible à l’environnement extérieur (transformation de phase sous sollicitations thermiques et mécaniques). L'originalité de ce travail consiste en une caractérisation quantitative In Situ de la transformation martensitique δ → α’ (nature et fraction des phases en présence, évolutions de paramètres de maille et microdéformations générées...) ainsi qu’en une étude microstructurale associées à différentes conditions de transformation (températures et sollicitations mécaniques). Le caractère isotherme pour la transformation de l’alliage PuGa 1at.% a été confirmé. L’analyse des cinétiques de transformation isotherme menée avec le modèle de Pati et Cohen a permis de discuter les différents phénomènes mis en jeu lors de la transformation (germination autocatalytique, interaction entre le nouveau variant formé et la matrice). Les modifications engendrées lorsque la matière est contrainte (augmentation de température Ms, orientation des produits de transformation) ont pu être calculées à partir du formalisme de Patel et Cohen. Des simulations numériques microstructurales ont également été réalisées afin d’appréhender l’effet des contraintes associées à la déformation libre de transformation sur la morphologie et l’arrangement des plaquettes de martensite, en regard aux observations expérimentales par microscopie optique et microscopie électronique à balayage. La confrontation directe de l’ensemble des résultats obtenus a permis de mettre en évidence l’influence majeure des contraintes accumulées dans la matière durant la transformation. En effet, alors qu’un effet auto-catalytique contrôle largement les premiers instants de la cinétique, une accumulation d’interactions mécaniques défavorables apparait progressivement expliquant le caractère partiel de cette transformation. L’étude de la transformation martensitique transformée à basses températures et sous contraintes a été complétée par l’étude de sa réversion en phase δ afin de comprendre les différents mécanismes pilotant cette réversion. Ce travail a montré l’existence d’une compétition entre deux modes de réversion direct et indirect, ce dernier étant étroitement lié à la mobilité du gallium et la stabilité thermodynamique des différentes phases de l’alliage en température / The δ-stabilized PuGa 1at.% is only in a metastable state and therefore is very sensitive to the external environment (phase transformation under thermal and mechanical loading). The originality of this work consists in a quantitative In Situ characterization of the δ → α' martensitic transformation (nature and amount of existing phases, evolution of lattice parameters and induced microstrains …) as well as a microstructural study conducted under different transformation conditions (temperature and mechanical loading). The isothermal character of the transformation kinetics in the PuGa 1at.% was confirmed. The analysis of the kinetics from the Pati and Cohen formalism gave the opportunity to investigate the mechanisms involved during the transformation (autocatalytic nucleation, interaction between the new variant formed and the matrix). Modifications induced in a stressed material (increase in temperature Ms, crystallographic orientation of transformation products) were calculated from the Patel and Cohen formalism. Microstructural numerical simulations were also performed in order to understand the effect of elastic interactions associated with transformation eigenstrain on the martensite plate morphology and plates arrangement in regard of the observations by SEM and OM. The direct confrontation of all results highlighted the large influence of accumulated stresses in the material during the transformation. Indeed, while an autocatalytic effect controls the first steps of the kinetic, an accumulation of unfavorable mechanical interactions occurs gradually explaining the partial nature of this transformation. The study of the martensitic transformation occurring at low temperature and under stresses was complemented by the study of its reversion into the δ phase in order to grasp the different mechanisms driving this reversion. This work shows the existence of competition between direct and indirect reversion modes, the latter being closely related to the mobility of gallium and to the thermodynamic stability of different phases of the alloy versus temperature
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