La fracturation hydraulique est au cœur d'un certain nombre de phénomènes naturels et induits et est cruciale pour un développement durable de la production de ressources énergétiques. Compte tenu de son rôle crucial, ce phénomène a été pris en compte au cours des trois dernières décennies par le monde académique. Néanmoins, un certain nombre d'aspects très importants de ce processus ont été systématiquement négligés par la communauté. Deux des plus remarquables sont l'incapacité de la grande majorité des modèles existants à aborder la propagation des fractures hydrauliques dans les massifs rocheux fracturés où l'injection de fluide peut à la fois conduire à la fracturation de la roche intacte et à la réactivation de fractures préexistantes. Un autre aspect essentiel de ce processus est qu'il est intrinsèquement tridimensionnel, ce qui est souvent négligé par les modèles actuellement disponibles. Pour aborder ce problème essentiel, un modèle hydro-mécanique couplé basé sur la méthode des éléments discrets a été développé. La masse rocheuse est ici représentée par un ensemble d'éléments discrets interagissant à travers des lois de contact cohésifs qui peuvent se casser pour former des fissures à l'intérieur du milieu simulé. Ces fissures peuvent se coalescer pour former des fractures. Une méthode de volume fini est utilisée pour simuler l'écoulement de fluide entre les éléments discrets. L'écoulement est calculé en fonction de la déformation de l'espace poreux dans le milieu intact et de l'ouverture des fissures dans les fractures. De plus, les fractures naturelles sont modélisées explicitement de sorte qu'elles peuvent présentées des comportements mécanique et hydraulique différents de ceux de la matrice rocheuse intacte. La simulation des processus de fracturation hydraulique dans un milieu initialement intact en considérant plusieurs points d'injection plus ou moins espacés a permis de mettre en évidence l'évolution spatio-temporelle des fractures hydrauliques et de quantifier l'impact des différentes stratégies d'injection sur des indices représentatifs du volume fracturé, de l'intensité et de la densité des fractures ou encore sur la pression de fluide au niveau du puits. De plus, l'injection dans une fente de perforation non alignée sur le plan de contrainte minimum a génère des fractures hydrauliques non planaires percolantes si la connectivité est faible, ce qui peut être gênant pour la mise en place du proppant. En outre, des interactions fortes prennent place entre des fractures hydrauliques étroitement espacées ont été mises en évidence grâce au le suivi de la orientation de contrainte principale locale et ont révélé l'importance des effets d'ombre de contrainte. Des solutions sont proposées pour optimiser les traitements multiples à partir d'un puits de forage non parfaitement aligné. Enfin, l'interaction entre une seule fracture hydraulique et une seule fracture naturelle de propriétés et d'orientations variables a été étudiée à l'aide du modèle proposé. L'évolution de la fracture hydraulique et la réponse globale de l'échantillon ont été enregistrées d'une manière comparable aux données expérimentales existantes pour établir un pont entre les résultats expérimentaux et numériques. Les fractures naturelles persistantes semblent être des barrières pour la fracture hydraulique si leur conductance est élevée par apport a celle de la matrice ou si leur raideur est faible par rapport a la rigidité du milieu environnant. D'autre part, une faible rigidité dans les discontinuités non persistantes pourrait provoquer une bifurcation de la fracture hydraulique principale. De plus, des angles d'approche élevés et des contraintes différentielles fortes semblent favoriser le croisement de la fracture naturelle alors que des angles faibles engendrent plutôt un glissement ou une dilatation par cisaillement de la partie du plan qui n'est pas affectée par la perturbation de la contrainte. / Hydraulic fracturing is at the core of a number of naturally occurring and induced phenomena and crucial for a sustainable development of energy resource production. Given its crucial role this process has been given increasing attention in the last three decades from the academic world. Nonetheless a number of very significant aspects of this process have been systematically overlooked by the community. Two of the most notable ones are the inability of the vast majority of existing models to tackle at once the propagation of hydraulic fractures in realistic, fractured rocks-masses where hydraulic fracturing is a competing dipole mechanism between fracturing of the intact rock and re-activation of exiting fracture networks. Another essential aspect of this process is that it is intrinsically three-dimensional which is neglected by most models. To tackle this vital problem taking into account these pivotal aspects, a fully coupled hydro-mechanical model based on the discrete element method has been developed. The rock mass is here represented by a set of discrete elements interacting through elastic-brittle bonds that can break to form cracks inside the simulated medium. Theses cracks can coalesce to form fractures. A finite volume scheme is used to simulate the fluid flow in between these discrete elements. The flow is computed as a function of the pore space deformation in the intact medium and of the cracks' aperture in the fractures. Furthermore, the natural fractures are modelled explicitly and present mechanical and hydraulic properties different from the rock matrix. Employing this model in an intact numerical specimen, single fluid injection and multiple closely spaced sequential injections, enabled the description the full spatio-temporal evolution of HF propagation and its impact on quantitative indexes used in description of hydraulic fracturing treatments, such as fractured volume, fracture intensity and down-the-hole pressure for different control parameters and in-situ stress-fields. Moreover, injections from perforation slots which are not well aligned to the minimum stress plane showed possible creation of percolating non-planar hydraulic fractures of low connectivity, which can be troublesome for proppant placement. Also, strong interactions between closely spaced HF were highlighted by tracking the local principal stress rotation around the injection zones, emphasizing the importance of stress shadow effects. Optimization solutions are proposed for multiple treatments from a non-perfectly aligned wellbore. Finally, interaction between a single hydraulic fracture and a single natural fracture of varying properties and orientations was studied using the proposed model. The evolution of the hydraulic fracture and the global response of the specimen were recorded in a way comparable to existing experimental data to bridge the experimental and numerical findings. Persistent natural fractures appeared to be barriers for the hydraulic fracture if their conductance is high compared to the matrix conductivity or if their stiffness is significantly low compared to the rock matrix rigidity. Low stiffness in non-persistent defects might also cause a bifurcation of the main hydraulic fracture due to the local stress field perturbation around the defect and ahead of the hydraulic fracture tip. Furthermore, high approach angles and differential stresses seemed to favour crossing of the natural fracture while low angles enable shear slippage or dilation on the part of the plane which is not affected by the local stress perturbation.

Cette thèse présente un modèle générique d'écrans de filets pare-blocs sous sollicitations dynamiques de type impacts. Ces ouvrages pare-blocs sont décrits comme un assemblage abstrait de leurs principaux constituants. Le modèle développé permet ainsi de représenter la plupart des technologies existantes. Un code de calcul en C++ utilisant une Méthode aux Éléments Discrets est développé afin de réaliser les simulations numériques d'impacts. La description générique des ouvrages est mise en œuvre au niveau du code de calcul grâce à une structuration des données et une programmation orientée objet correspondantes. Le modèle générique est complété par deux modèles mécaniques de constituants. Dans un premier temps, un modèle mécanique de filet à anneaux à 4 contacts est développé. Ce modèle est calibré et validé par une campagne expérimentale réalisée sur des anneaux en acier utilisés dans les écrans de filets. Dans un second temps, un modèle général de câble glissant est développé pour modéliser le phénomène d'effet rideau. Ce modèle démontre de fortes capacités de description des phénomènes de glissement et de très bonnes performances de calcul. Enfin, des essais d'impact en vraie grandeur sur deux écrans de filets de technologies différentes sont utilisés afin de valider le modèle générique. Les simulations numériques de ces essais sur ouvrages réels mettent en évidence la pertinence du modèle développé. Les résultats numériques sont en très bon accord avec les expérimentations et le modèle présente des capacités prédictives pertinentes dans la perspective d'usage en ingénierie. Les déformations, les temps de chargement et l'intensité des efforts sont obtenus avec des erreurs inférieures à 10 %. Des simulations complexes d'impacts répétés sont réalisées pour la première fois et le comportement lors de l'impact et pendant la phase de retour élastique après impact est bien appréhendé par le modèle. / This thesis introduces a generic model of rockfall barriers under impact loading. The structures are described as an abstract assembly of their main components. The developed model thereby enables the consideration of most of the existing technologies. A C++ code based on the Discrete Element Method is developed in order to perform the numerical simulations of impacts. The generic description of the barriers is implemented at the code level using a corresponding data structure and object-oriented programming. The generic model is completed by the mechanical models of two components. First, a mechanical model of 4-contact interlaced ring nets is developed. An experimental campaign is carried out to calibrate and validate the model against steel wire rings used in rockfall restraining nets. Second, a general sliding cable model is developed to account for the curtain effect. This model demonstrates great capabilities in describing sliding phenomena and a low computational cost. Finally, full-scale impact tests performed on two barriers of different technologies are used to validate the generic model. Numerical simulations of the full-scale tests highlight the relevance of the developed model. Numerical results agree finely with experiments and the model exhibits compelling predictive capacities for engineering applications. Deformations, loading time and forces magnitude are all predicted within 10 % relative error. Complex and unprecedented simulations of repeated impacts are carried out and the model is able to reproduce the barrier behavior both during the impact phase and after springback.

This thesis analyses the impact of granular aggregates with structures using experiments and numerical simulations. Original contributions include an insight into multiple factors affecting the loading and damage to the structures, along with study of numerical parameters important for realistic prediction of the interaction between the granular media and structures. It extends the current understanding related to such interactions, with an underlying motivation to guide strategies in order to reduce the structural damage. The response of structures impacted by granular media (sand or soil) is of significant research interest for many applications. One of the applications is for landmine explosions which causes ejection of soil from ground and damage to structures impacted by this ejected soil. Experimentation is done in a laboratory setting where the cylindrical sand slugs are generated at high speed using an impulse provided by a piston. This induces a velocity gradient along the slug, because of which the slug expands during the flight before impacting the target. Deformable as well as rigid flat targets are considered in two orientations relative to the incoming slug: perpendicular (i.e. normal orientation) and inclined at an angle of 45°. The targets are supported by force transducers to capture the loading from the slug. Simulations are performed using a combination of discrete particle and finite element schemes, which enables the analysis of the fully coupled interaction between the flowing granular media and the structure. A contact model involving multiple parameters is used for inter-particle and particle-target contact. Firstly, a numerical analysis is performed to characterise the temporal evolution of slugs and their impact on monolithic beams constrained at the ends. Out of all the parameters used for inter-particle contact definition in discrete particle method, only the contact stiffness is found to effect the velocity gradient in the slug before it impacts the target. Other factor influencing the gradient is the acceleration provided by the piston. A strong dependence of beam deflection on the stand-off distance is observed due to the velocity gradient in the slugs. As the second step, the effect of target surface properties on the transmitted momentum is analysed. Experiments are done by applying coatings of different hardness and roughness on the target surface impacted by sand slugs. For normally oriented targets, the transmitted momentum is observed to be insensitive to the change in surface coating. In contrast, for inclined targets, a significant influence of coatings is observed. Additionally, the momentum transmitted to the inclined targets is always less than that for normal targets. Numerical analysis of this surface effect reveals that assuming the slug particles to be spherical shape in simulations does not capture the particle/target interactions accurately and under-predicts the frictional loading on the target. Following this, a detailed numerical study is done to understand the effect of the shape of particles in the slug. Simple shaped non-spherical particles are constructed by combining spherical sub-particles. With increasing angularity of particles in the slug, the frictional loading on the target is shown to increase. This results in an increase of momentum transmitted to inclined targets. For normally oriented targets however, the particle shape does not affect the overall transmitted momentum, which is a behaviour similar to that observed when studying the effect of target surface properties. In addition, effect of fracture of particles in the slug is analysed by using beam connections between sub-particles that break during the impact with the target. If the fracture results in increasing particle angularity, the transmitted momentum increases, whereas the situation reverses if fracture results on more spherical shaped particles. Lastly, a strategy to reduce the loading on the targets is analysed by using sacrificial coating on the target surface. In experiments, this coating is placed on the rigid target surface using a lubricant at their interface. When impacted by the slug, this coating slides on the target surface, resulting in a reduction of frictional loading on the target. If the friction at the coating/target interface vanishes, the transmitted momentum approaches the theoretical minimum value. Simulations are used to first validate the experimental observations and then to extend the concept of sliding coatings using deformable targets. Both the transmitted momentum and deflections depended on the thickness of the target and coating. When a coating is used, the deflections increase due to reduction in target thickness. It is found that the best strategy to reduce the damage to the target is to use least possible thickness of the coating and minimise the friction at the interface between the coating and the target. The presented work examines many of the factors that affect the loading on the target impacted by granular slugs, in addition to characterising the expansion of slugs before the target impact. The analysed factors include those already known such as target stand-off distance, inclination and unveils others such as target surface properties and granular properties. The numerical analysis discloses important parameters and shows the effect of particle shape, highlighting the shortcomings of widely used spherical particle assumption in the numerical studies. A strategy using a sacrificial coating to reduce damage to the target is also analysed.

Milling is a common unit operation in industry for the purpose of intentional size reduction. Considerable amount of energy is consumed during a grinding process and much of the energy is dissipated as heat and sound, which often makes grinding into an energy-intensive and highly inefficient operation. Despite many attempts to interpret particle breakage during a milling process, the grindability of a material in a milling operation remains aloof and the mechanisms of particle breakage are still poorly understood. Hence the optimisation and refinement in the design and operation of milling are in great need of an improved scientific understanding of the complex failure mechanisms. This thesis aims to provide an in-depth understanding of particle breakage associated with stressing events that occur during milling. A hybrid of experimental, theoretical and numerical methods has been adopted to elucidate the particle breakage mechanics. This study covers from single particle damage at micro-scale to bulk comminution during the whole milling process. The mechanical properties of two selected materials, i.e. alumina and zeolite were measured by indentation techniques. The breakage test of zeolite granules subjected to impact loading was carried out and it was found that tangential component velocity plays an increasingly important role in particle breakage with increasing impact velocity. Besides, single particle breakage via in-situ loading was conducted under X-ray microcomputed tomography (μCT) to study the microstructure of selected particles, visualize the progressive failure process and evaluate the progressive failure using the technique of digital image correlation (DIC). A new particle breakage model was proposed deploying a mechanical approach assuming that the subsurface lateral crack accounts for chipping mechanism. Considering the limitation of existing models in predicting breakage under oblique impact and the significance of tangential component velocity identified from experiment, the effect of impact angle is considered in the developed breakage model, which enables the contribution of the normal and tangential velocity component to be rationalized. The assessment of breakage models including chipping and fragmentation under oblique impact suggests that the equivalent normal velocity proposed in the new model is able to give close prediction with experimental results sourced from the public literature. Milling experiments were performed using the UPZ100 impact pin mill (courtesy by Hosokawa Micron Ltd. UK) to measure the comminution characteristics of the test solids. Several parameters were used to evaluate the milling performance including product size distribution, relative size span, grinding energy and size reduction ratio etc. The collective data from impact pin mill provides the basis for the validation of numerical simulation results. The Discrete Element Method (DEM) is first used to model single particle breakage subject to normal impact loading using a bonded contact model. A validation of the bonded contact model was conducted where the disparity with the experimental results is discussed. A parametric study of the most significant parameters e.g. bond Young’s modulus, the mean tensile bond strength, the coefficient of variation of the strength and particle & particle restitution coefficient in the DEM contact model was carried out to gain a further understanding of the effect of input parameters on the single particle breakage behavior. The upscaling from laboratory scale (single particle impact test) to industrial process scale (impact pin mill) is achieved using Population Balance Modelling (PBM). Two important functions in PBM, the selection function and breakage function are discussed based on the single particle impact from both experimental and numerical methods. An example of predicting product size reduction via PBM was given and compared to the milling results from impact pin mill. Finally, the DEM simulation of particle dynamics with emphasis on the impact energy distribution was presented and discussed, which sheds further insights into the coupling of PBM and DEM.

L’hydrogène est une solution chimique de stockage d’énergie électrique intéressante. En effet, l’hydrogèneproduit devient un vecteur d’énergie utilisable de différentes façons. Pour développer l’industrie hydrogène,sa production, son stockage et sa consommation doivent être étudiés et optimisés.Cette thèse traite du stockage solide d’hydrogène dans des hydrures métalliques. Dans cette technologie,l’hydrogène est piégé à l’intérieur d’un matériau métallique selon une réaction chimique réversibleexothermique. L’hydrogène peut être libéré selon la réaction inverse, endothermique. Les performances dece stockage sont liées au choix du matériau, à la gestion des transferts thermiques et au système utilisé. Sesgrands avantages sont sa compacité énergétique et la sécurité d’un tel stockage. L’inconvénient majeur vientdu poids du système. Lors de l’absorption de l’hydrogène dans le matériau, ce dernier augmente de volume.Pour pouvoir dimensionner les réservoirs à hydrures métalliques, il est nécessaire de connaître les contraintesgénérées pas ce gonflement. Le confinement du matériau dans une enceinte étanche doit être garanti. Lecyclage entre les étapes de gonflement dégonflement dûs aux stockage/dé-stockage de l’hydrogène dans unhydrure métallique est appelé la respiration de l’hydrure.Ce travail de recherche commence par rappeler l’état de l’art sur l’hydrogène et les hydrures métalliques.Dans le second chapitre, le matériau sélectionné, LmNiCoMnAl , est caractérisé. Les deux chapitres suivantsprésentent l’étude expérimentale de la respiration en conditions oedométriques à contrainte imposée et dansun volume fixe. Le chapitre cinq présente les travaux de simulation numérique par éléments discrets. Lesgrains, modélisés sous forme de clusters, sont placés dans différentes conditions aux limites avec différentscoefficients de frottement.Les résultats des expériences complètent les travaux précédents sur d’autres matériaux. Contrairementau Ti-Cr-V, le LaNiCoMnAl voit sa densité diminuer au cours de la respiration pour les contraintes deconfinement utilisées. Le taux de décroissance de la densité diminue quand la contrainte de confinementaugmente. Quand l’échantillon est placé dans un volume fixe, les contraintes développées par le matériauaugmentent avec la quantité de matériau introduite dans le volume. La simulation numérique a permis demontrer qu’une dédensification est observée pour des niveaux de contrainte intermédiaires quand le coefficientde frottement augmente, confirmant l’hypothèse que les paramètres matériaux ont une importance dans lecomportement macroscopique des hydrures métalliques pendant la respiration. / Hydrogen can be used as a storage for electric energy. Hydrogen may become an energy vector, whichcould be used and transported easily. For the hydrogen sector to develop and mature, production, storageand consumption should be researched and optimized.This PhD is dedicated to hydrogen solid storage in metal hydride. This technology consists in usinga reversible and exothermic chemical reaction between an alloy and hydrogen. The hydrogen is capturedinside the metal lattice and can be released with the endothermic opposite reaction. The main factors whichimpact the performance of this technology are the choice of material, the heat flow management and thesystem used. Its main advantages lay on safety and energy compactness. Its main drawbacks come from theweight of the system. When the material absorb hydrogen, its volume increases. To contain this materialin an airtight environment, it is mandatory to know how stress develop on the container that contains thematerial. The cycles of dilatation and contraction of the material, when it is loading or unloading hydrogen,is called breathing.This research begins with a large spectrum presentation of hydrogen. Then comes a chemical and structuralcharacterization of the material : LaNiCoMnAl. Its Composition-Temperature-Pressure characteristicsare given. The material exhibits granular properties and is structurally characterize using laser grain sizing,shape measurement and X-Ray tomography. The typical length scale of LaNiCoMnAl particles is 20 micrometers.The third and fourth chapters are concerned with the experimental behavior. A sample is placed ina stress controlled environment where its density is measured during cycling. The other experiment places asample in a fixed volume. In that case, the stress exerted on the material is recorded and measured duringcycling. In the last chapter, numerical simulations using the Discrete Element Method are used. The materialis modeled by X shaped clusters and studied with different friction parameters and boundary conditions.Following other works done on other materials, these experiment showed a different behavior of LaNi-CoMnAl compared to Ti-Cr-V. During breathing, LaNiCoMnAl exhibits a decrease in density even whensubmitted to a relatively large stress. The rate at which the density decreases is lowered when the confinementpressure increases. When the material is placed in a fixed volume, the stress increases with increasingpoured mass. Numerical simulations show a decrease in density when the friction parameter is high enough.It validates the hypothesis that material parameters play a major role in the macroscopic behavior of metalhydride during breathing.

Quando o concreto é submetido a ações especiais, como cargas cíclicas ou ação de cargas de impacto, modificações em sua composição são necessárias, já que o concreto não apresenta desempenho satisfatório à tração, o que compromete o seu comportamento frente à ação de cargas dinâmicas. Uma alternativa para amenizar esta deficiência consiste em adicionar fibras ao concreto. Estas atuam como reforços à tração, transformando a matriz cimentícia, tipicamente frágil, em um material que apresenta boa resistência residual após a fissuração. Buscando colaborar na avaliação da eficiência de diferentes tipos de fibras, o presente trabalho analisa o comportamento de concretos com fibras de aço, submetidos ao impacto, avaliando a influência do fator de forma, do comprimento e do teor de fibras, assim como do tamanho do agregado. São ainda analisados os efeitos da incorporação de fibras na resistência à compressão, na resistência à tração por compressão diametral, no módulo de elasticidade e na tenacidade dos compósitos. Adicionalmente, é executada uma comparação entre os resultados experimentais e os derivados de um esquema de modelagem da situação de impacto através do uso do método de elementos discretos. Buscou-se, através da modelagem teórica, executar um mapeamento dos danos, provocados por cargas de impacto incrementais, ao longo do tempo, bem como determinar as energias necessárias para levar as placas até a ruptura. Os resultados indicam que a incorporação de fibras de aço não consegue retardar o aparecimento da primeira fissura, mas aumenta significativamente a tenacidade dos compósitos. Fibras mais longas e com maior fator de forma tendem a ser mais eficientes, desde que se supere um teor de fibras mínimo, que neste trabalho ficou em torno de 100.000 fibras/m3, para fibras longas (50-60 mm) e de 400.000 fibras/m3, para fibras curtas, cuja ancoragem é menos eficiente. O método de teste de impacto por queda de esfera se mostrou adequado e sensível, porém o esquema de modelagem numérica testado necessita ser refinado para permitir uma adequada simulação do comportamento de concretos com fibras. / When submitted to special loading patterns, derived from dynamical actions such as cyclic or impact loads, concrete elements need to be reinforced, in order to resist the tensile stresses. A feasible alternative, in such cases, is to incorporate fibers in the concrete matrix. The fibers act as a tensile reinforcement, transforming the fragile cement matrix into a composite with significant post-cracking residual strength. In order to contribute with the data collection about the efficiency of different fiber types, the present research work presents an analysis of the behavior of steel fiber reinforced concretes subjected to impact loads. The work investigates the influences of changes in the shape factor, length and amount of fibers. The effects of these combinations on other basic properties of the composites, such as compression strength, split cylinder tensile strength, Young’s modulus and tenacity is also measured. Additionally, a comparison is made between the experimental results from the impact tests and the estimates obtained from a theoretical model that uses the discrete element method (DEM). This theoretical approach aimed to determine if the model was able to simulate the damage evolution over time generated by the increasing impacts loads, as well as to determine the total energy necessary to crack and break the specimens. The results obtained pointed out that the introduction of steel fibers does not affect the energy for the first crack but increases significantly the tenacity of the composite. Longer fibers, with greater shape factors, tend to be more efficient, provided that the fiber content is sufficiently high. The minimum recommended fiber content, according to the data from this research, may be around 100.000 fibers/m3, for longer fibers (50-60 mm). Or around 400.000 fibers/m3, for shorter fibers, which are not so efficient in terms of anchorage. The impact test method developed was considered adequate, being sensitive to the phenomenon and providing reliable data. The DEM model, however, needs to be refined to be able to deal with fiber concrete composites.

Quando o concreto é submetido a carregamentos especiais, como cargas cíclicas ou ação de cargas de impacto, modificações em sua composição são necessárias. Uma vez que o material não apresenta desempenho satisfatório à tração, seu comportamento frente a este tipo de carregamento acaba seriamente comprometido. Uma alternativa para amenizar esta deficiência consiste em adicionar fibras de aço ao concreto. Ao adicionar estes elementos à matriz cimentícia, promove-se meios de transferência de tensões através das fissuras, aumentando a tenacidade do material, proporcionando mecanismos de absorção, relacionados com o desligamento e o arrancamento de fibras. Um número significativo de trabalhos experimentais envolvendo os mais diversos tipos de elementos estruturais reforçados com fibras de aço está disponível, havendo, no entanto, uma forte carência sob o ponto de vista de simulações numéricas. Buscando colaborar no desenvolvimento do material, o presente trabalho propõe a aplicação do Método dos Elementos Discretos para simulação do compósito submetido a carregamentos estáticos e dinâmicos. São realizadas alterações no algoritmo do método a fim de realizar a dispersão de fibras de aço na matriz de concreto. A análise das condições de contorno utilizadas em trabalho anterior revela a necessidade de aplicação de apoios elásticos sob pena de superestimar a rigidez do modelo. Os diagramas carga versus deslocamento que resultaram dos ensaios estáticos demonstram que o modelo criado é sensível à adição de fibras: maiores teores conduzem a modelos com maior tenacidade. O ensaio de impacto também se mostrou sensível e o padrão de fissuração encontrado nas simulações revelou uma boa aproximação com ensaios experimentais anteriores. / When submitted to special loading patterns, derived from dynamical actions such as cyclic or impact loads, some alterations in the concrete constitution need to be done, since the material don’t have an adequate behavior under tensile stress. A feasible alternative, in such cases, is to incorporate steel fibers in the concrete matrix. Adding these elements, stress transference mechanisms along the cracks are promoted, increasing the material tenacity. An expressive number of experimental works involving all the kinds of steel fiber reinforced concrete structural elements are available. However, few researches based on numerical methods are found in the literature. In order to contribute with the data collection and the development of the material, the present research work proposes the application of the Discrete Element Method to simulate the composite subjected to static and dynamic loads. Some modifications are made on the method algorithm trying to create the dispersion of fibers in the concrete matrix. The analysis of the boundary conditions used on previous work reveal the importance of using elastic support to don’t overestimate the stiffness of the model. The diagram load versus displacement that came from the static simulations shows that the model is sensible to the addition of fibers: higher proportions of fiber leads to models with higher tenacity. The impact tests also demonstrate sensibility and the crack pattern found on the simulations presented a very good approximation to previous experimental work.

Diversos materiais de interesse tecnológico podem ser considerados como materiais heterogêneos, onde sua natureza aleatória deve ser considerada para representar corretamente o comportamento não-linear. A avaliação quantitativa do dano em materiais sujeitos a estados de tensão ou deformação tem grande importância devido ao caráter crítico desse fenômeno, que pode crescer de forma abrupta e resultar em uma falha catastrófica da estrutura. Em estudos anteriores, Carpinteri e seus colaboradores apresentaram diferentes aspectos relacionados à caracterização do dano em materiais heterogêneos. Três desses aspectos são discutidos neste trabalho: (i) a proposta do número de fragilidade como medida da fragilidade da estrutura em análise; (ii) a evolução da dimensão fractal em que o processo de dano é desenvolvido; (iii) e os índices globais obtidos pela análise de Emissão Acústica (EA). Neste trabalho, uma versão do método dos elementos discretos formado por barras é utilizada para explorar esses aspectos. Espécimes de material quase-frágil são simulados e, quando possível, os resultados numéricos são comparados com resultados experimentais. Além disso, a discussão dos resultados obtidos é realizada visando compreender o comportamento desse tipo de material, como por exemplo, o fato de que estruturas com diferentes dimensões, porém com o mesmo número de fragilidade, têm comportamentos similares. Ademais, o método numérico empregado é apresentado como uma ferramenta viável para complementar a informação obtida em ensaios experimentais na avaliação do processo de dano. Pelo sinal de EA obtido através do método numérico empregado, obtiveram-se parâmetros para a classificação do tipo de falha e para o cálculo do tensor momento, onde comparando os resultados obtidos pelo modelo numérico e pela EA se observam comportamentos coerentes. / Several materials with technological interest can be considered as heterogeneous materials, where their random nature must be accounted to correctly represent the nonlinear behavior. The quantitative evaluation of damage in materials subjected to stress or strain states have great importance due to the critical nature of this phenomenon, which abruptly can rise to catastrophic failure. In previous studies, Carpinteri and his coworkers have presented different aspects of the damage process characterization in heterogeneous materials. Three of these aspects are discussed in this work: (i) the brittleness number proposal to measure the brittleness level of the analyzed structure, (ii) the relationship of the fractal dimension in which the damage process is developed, (iii) and the global indexes obtained by the Acoustic Emission (AE) analysis. In the present work, a version of discrete element method formed by bars is used to explore these concepts. A set of quasi-brittle material specimen is simulated and, when possible, the numerical results are compared with experimental ones. Moreover, a discussion of the obtained results is carried out aiming to understand the behavior of this kind of material, for instance, the fact that structures with different dimensions, but with the same brittleness number, have similar behavior. In addition, the numerical method is presented as a viable tool to complement information from experimental test on the damage process. From the AE signal obtained by the numerical method, parameters to classify the type of crack and for calculating the moment tensor were obtained, where consistent behaviors are observed by comparing the results of the numerical model and the AE.

Ce travail de thèse est consacré à l'étude des écoulements biphasiques grains-gaz dans un régime de blocage (jamming). Ce régime caractérisé par un écoulement interrompu en temps fini et fréquemment rencontré dans la nature ou les applications industrielles présente un caractère stochastique. Sa compréhension nécessite la mesure de son débit, de ses fluctuations et de la probabilité d'arrêt liée à la géométrie de confinement, à la microstructure granulaire et au gaz interstitiel. Une approche numérique discrète couplant la méthode de la dynamique des contacts non-régulière (Non Smooth Contact Dynamics) pour la dynamique des particules et une méthode mésoscopique de type homogène équivalente pour le gaz est développée. La statistique d'écoulement obtenue est en bon accord avec des résultats expérimentaux de la littérature : le débit vérifie une loi de puissance croissante en fonction de l'ouverture avec un débit moyen affecté par la présence du gaz. Ces résultats statistiques quantitatifs sont appliqués à l'estimation du taux de relocalisation du combustible nucléaire fragmenté et confiné dans son tube-gaine présentant un ballonnement local suite à une situation accidentelle de type Perte de Réfrigérant Primaire. / In this work, we investigate particle-gas two-phase flows in the jamming regime where the flow stops in finite time. In this regime, which occurs quite often in nature and industrial applications, the flow is stochastic and needs therefore to be characterized by the jamming probability as well as the flow rate and its fluctuations that depend on the confining geometry, granular microstructure and gas properties. We developped a numerical approach based on the coupling of the Non Smooth Contact Dynamics for the solid phase and a mesoscopic method for the gas phase. We find that the flow rate as a function of the opening is well fit by a power law in agreement with reported experimental data. The presence of a gas affects only the mean flow rate, the flow statistics being sensibly the same as in the absence of the gas. We apply our quantitative statistical results in order to estimate the relocation rate of fragmented nuclear fuel inside its cladding tube as a result of a local balloon caused by an accident (loss-of-refrigerent accident).

L'évaluation des risques naturels et du risque sismique en particulier a pris une importance croissante pour les autorités publiques ces dernières années, entraînant une adaptation importante des outils utilisés jusqu'à présent dans l'étude de la vulnérabilité du bâti. Il est nécessaire de mieux évaluer ces risques afin de mieux y faire face. De nouvelles approches doivent être proposées pour répondre à ces objectifs dont les approches numériques font partie. Parmi les méthodes numériques développées pour tenir compte de la spécificité du bâti maçonné figurent les approches par éléments discrets comme la méthode NSCD (« Non Smooth Contact Dynamics »). Les travaux présentés dans cette thèse visent à mieux appréhender le comportement mécanique et dynamique des ouvrages maçonnés en utilisant ce type de méthode implémenté dans le code calcul LMGC90, afin d'affiner la compréhension et la caractérisation de la vulnérabilité sismique des édifices en maçonnerie. La méthodologie que nous cherchons à mettre en place vise à traiter la vulnérabilité sismique de bâtiments spécifiques ou au contraire d'ensembles de bâtiments de même typologie. / The perception and the evaluation of natural risks and more particularly of the seismic hazard have never been so important and highlighted by the authorities. This phenomenon leads to a deep adjustment of tools used up to now in the assessment of the vulnerability of buildings. New approaches as numerical approaches have to be proposed so as to best estimate the risk. Among all the numeriacl methods developed to take into account specificities of masonry buildings, approaches by discrete elements methods as the NSCD method (“Non Smooth Contact Dynamics”) seem to be particularly well adapted. This PhD thesis aims to best understand the mechanical behaviour of masonry structures by using this discrete method implemented in the software LMGC90 so as to give an accurate estmation of the seismic vulnerability of buildings. The very purpose of this work is to develop a calculation tool able to deal with the vulnerabilityof both specific and common masonry buildings.