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Bridge decks are commonly subjected to harsh environmental conditions that often lead to serious corrosion problems triggered by blisters under the hot mix asphalt bridge deck surfacing and secretly evolving during weather exposure until damage is often detected too late. Blisters may form under both the waterproofing dense mastic asphalt layer or under the waterproofing membrane which is often applied as additional water protection under the mastic asphalt (MA). One of the main technical issues is the formation of blisters under the membrane and asphalt-covered concrete structures caused by a complex mechanism governed by bottom-up pressure and loss of adhesion. A linear viscoelastic finite-element model was developed to simulate time-dependent blister growth in a dense mastic asphalt layer under uniformly applied pressure with and without temperature and pressure fluctuation. A finite element model was developed using ABAQUS with linear viscoelastic properties and validated with a closed form solution from first-order shear-deformation theory for thick plates. In addition, the blister test was conducted on different samples of MA in the laboratory and digital image correlation measurement technique was used to capture the three-dimensional vertical deflection of the MA over time. It was found that the blister may grow continuously under repeated loading conditions over subsequent days. With respect to blistering under waterproofing membranes, mechanical elastic modeling and experimental investigations were performed for three different types of membranes under in-plane stress state. The orthotropic mechanical behavior of a polymer modified bitumen membrane (PBM) was determined from biaxial test data. Finally, blister tests by applying controlled pressure between orthotropic PBMs and concrete plates were performed for studying the elliptical adhesive blister propagation using digital 3D image correlation. The energy calculated from elliptical blister propagation was found comparable to the adhesive fracture energy from standard peeling tests for similar types of PBMs. This indicates that the peeling test assists to evaluate and rank the adhesive properties of different types of membranes with respect to blister formation at room temperature without conducting time consuming and complicated pressurized blister propagation tests using digital 3D image correlation. / <p>QC 20130625</p>

Com a evolução da medicina e o consequente envelhecimento da população, o aneurisma de aorta abdominal (AAA) se tornou uma doença cada vez mais presente, sobretudo em homens. A falta de conhecimento detalhado do comportamento mecânico do tecido aórtico abdominal é o principal gargalo no refinamento do critério para a recomendação de cirurgia corretiva, resultando, ainda hoje, no óbito decorrente da ruptura desses aneurismas. O entendimento do comportamento mecânico desse tecido permitirá o refinamento do critério atual, salvando mais vidas. Esse entendimento pode ser obtido através da Mecânica do Contínuo, utilizando dados experimentais de ensaios mecânicos para avaliar e descrever o comportamento do material. Para que isso ocorra, é necessário que o teste seja feito em dois eixos independentes. No presente trabalho, foram escolhidos os eixos longitudinal e circunferencial para a realização de testes mecânicos, levando em consideração aspectos de metodologias já utilizadas, seus pontos fortes e deficiências. São apresentados o projeto, a construção e e a calibração de um equipamento para ensaios biaxiais de tecidos biológicos tubulares, extraídos de cadáveres, e testados até a ruptura, com a possibilidade de realização de ensaios de pré-condicionamento. Tubos de látex foram utilizados na calibração do equipamento, de cuja utilização é esperada grande contribuição na ampliação do conhecimento da probabilidade de ruptura de AAAs e em uma melhor compreensão do comportamento do tecido da uretra peniana. / The evolution of Medicine has enabled humans to live longer. With that, the incidence of abdominal aortic aneurysms (AAAs) has grown, especially among males. The lack of detailed knowledge on the mechanical behavior of the abdominal aortic tissue is the main bottleneck in the improvement of the criterion for recommending corrective surgery. Therefore, many patients still die from the rupture of those aneurysms. Better understanding of the tissues mechanical behavior will allow the refinement of todays criterion, thus saving more lives. This understanding can be obtained from Continuum Mechanics, using mechanical test experimental data to evaluate and describe the behavior of the material. The data has to come from tests performed in two independet axes. This Masters thesis presents the project, manufacturing and calibration of an apparatus for the test of cylindrical biological tissues in two directions, longitudinal and circumferential. Aspects of pre-existent tests and methods and their positive and negative sides were taken into account. The specimens will come from cadavers, and it will be possible to pre-condition them, as well as to test them to the rupture. Latex tubes were used in the calibration of the apparatus, whose utilization is expected to improve the knowledge on AAA rupture probability, as well as to improve the comprehension of the penile urethral tissues behavior.

The mechanical behaviour of geomaterials (e.g. soils, rocks and concrete) under plastic deformation is highly complex due to that fact that they are granular materials consisting of discrete non-uniform particles. Failure of geomaterials is often related to localisation of deformation (strain-localisation) with excessive shearing inside the localised zones. The microstructure of the material then dominates the material behaviour in the localised zones. The formation of the localised zone (shear band) during plastic deformation decreases the material strength (softening) significantly and initiates the failure of the material. There are two main approaches to the numerical modelling of localisation of deformation in geomaterials; discrete and continuum. The discrete approach can provide a more realistic material description. However, in the discrete approach, the modelling of all particles is complicated and computationally very expensive for a large number of particles. On the other hand, the continuum approach is more flexible, avoids modelling the interaction of individual particles and is computationally much cheaper. However, classical continuum plasticity models fail to predict the localisation of deformation accurately due to loss of ellipticity of the governing equations, and spurious mesh-dependent results are obtained in the plastic regime. Generalised plasticity models are proposed to overcome the difficulties encountered by classical plasticity models, by relaxing the local assumptions and taking into account the microstructure-related length scale into the models. Among generalised plasticity models, Cosserat (micropolar) and stain-gradient models have shown significant usefulness in modelling localisation of deformation in granular materials in the last few decades. Currently, several elastoplastic models are proposed based on Cosserat and strain-gradient theories in the literature. The individual formulation of the models has been examined almost always in isolation and are paired with specific materials in a mostly arbitrary fashion. Therefore, there is a lack of comparative studies between these models both at the theory level and in their numerical behaviour, which hinders the use of these models in practical applications. This research aims to enable broader adoption of generalised plasticity models in practical applications by providing both the necessary theoretical basis and appropriate numerical tools. A detailed comparison of some Cosserat and strain-gradient plasticity models is provided by highlighting their similarities and differences at the theory level. Two new Cosserat elastoplastic models are proposed based on von Mises and Drucker- Prager type yield function. The finite element formulations of Cosserat and strain-gradient models are presented and compared to better understand their advantages and disadvantages regarding numerical implementation and computational cost. The finite elements and material models are implemented into the finite element program ABAQUS using the user element subroutine (UEL) and an embedded user material subroutine (UMAT) respectively. Cosserat finite elements are implemented with different Cosserat elastoplastic models. The numerical results show how the Cosserat elements behaviour in the plastic regime depends on the models, interpolation of displacement and rotation and the integration scheme. The effect of Cosserat parameters and specific formulations on the numerical results based on the biaxial test is discussed. Two new mixed-type finite elements as well as existing ones (C1, mixed-type and penalty formulation), are implemented with different strain-gradient plasticity models to determine the numerical behaviour of the elements in the plastic regime. A detailed comparison of the numerical results of Cosserat and strain-gradient elastoplastic models is provided considering specific strain-localisation problems. Finally, some example problems are simulated with both the Cosserat and strain-gradient models to identify their applicability.

Com a evolução da medicina e o consequente envelhecimento da população, o aneurisma de aorta abdominal (AAA) se tornou uma doença cada vez mais presente, sobretudo em homens. A falta de conhecimento detalhado do comportamento mecânico do tecido aórtico abdominal é o principal gargalo no refinamento do critério para a recomendação de cirurgia corretiva, resultando, ainda hoje, no óbito decorrente da ruptura desses aneurismas. O entendimento do comportamento mecânico desse tecido permitirá o refinamento do critério atual, salvando mais vidas. Esse entendimento pode ser obtido através da Mecânica do Contínuo, utilizando dados experimentais de ensaios mecânicos para avaliar e descrever o comportamento do material. Para que isso ocorra, é necessário que o teste seja feito em dois eixos independentes. No presente trabalho, foram escolhidos os eixos longitudinal e circunferencial para a realização de testes mecânicos, levando em consideração aspectos de metodologias já utilizadas, seus pontos fortes e deficiências. São apresentados o projeto, a construção e e a calibração de um equipamento para ensaios biaxiais de tecidos biológicos tubulares, extraídos de cadáveres, e testados até a ruptura, com a possibilidade de realização de ensaios de pré-condicionamento. Tubos de látex foram utilizados na calibração do equipamento, de cuja utilização é esperada grande contribuição na ampliação do conhecimento da probabilidade de ruptura de AAAs e em uma melhor compreensão do comportamento do tecido da uretra peniana. / The evolution of Medicine has enabled humans to live longer. With that, the incidence of abdominal aortic aneurysms (AAAs) has grown, especially among males. The lack of detailed knowledge on the mechanical behavior of the abdominal aortic tissue is the main bottleneck in the improvement of the criterion for recommending corrective surgery. Therefore, many patients still die from the rupture of those aneurysms. Better understanding of the tissues mechanical behavior will allow the refinement of todays criterion, thus saving more lives. This understanding can be obtained from Continuum Mechanics, using mechanical test experimental data to evaluate and describe the behavior of the material. The data has to come from tests performed in two independet axes. This Masters thesis presents the project, manufacturing and calibration of an apparatus for the test of cylindrical biological tissues in two directions, longitudinal and circumferential. Aspects of pre-existent tests and methods and their positive and negative sides were taken into account. The specimens will come from cadavers, and it will be possible to pre-condition them, as well as to test them to the rupture. Latex tubes were used in the calibration of the apparatus, whose utilization is expected to improve the knowledge on AAA rupture probability, as well as to improve the comprehension of the penile urethral tissues behavior.

L'objectif technique majeur de cette thèse se rapporte au développement d'un outilde simulation numérique fiable et robuste adapté à la maîtrise et la connaissance dufonctionnement mécanique des ouvrages géotechniques. Cet outil de simulation doitnotamment permettre une maîtrise des scénarii les plus pénalisants pour leur tenue,notamment sous l'aléa sismique.La qualité des résultats d'un tel outil dans le cadre de la méthode des éléments finisest fonction du modèle de comportement utilisé, de la qualité de l'intégration dumodèle et de sa résolution numérique. Dans le cadre de ce travail, le modèleélastoplastique de comportement cyclique des sols de l'ECP (dit de Hujeux) a étéintroduit dans Code_Aster selon un schéma d'intégration implicite, permettant ainsiune représentation fine et précise des phénomènes mis en jeu durant l'aléasismique. Ce modèle possède également l'avantage d'être adapté au comportementde différents types de sols dans le cadre des milieux poreux sous l'hypothèse despetites déformations. Après validation sur des chemins de chargement variés, lemodèle est à présent utilisé pour la simulation de la construction par couches, de lamise en eau et de la tenue sismique de barrages en terre.Le caractère non standard et adoucissant de ce modèle conduit à mettre en oeuvredes techniques de régularisation pour résoudre le problème de dépendancepathologique des résultats aux maillages lors de l'apparition de modes de ruinelocalisée. Le modèle de second gradient de dilatation est utilisé en complément aumodèle de comportement de Hujeux pour contrôler la largeur des bandes delocalisation apparaissant sur les structures étudiées. La prise en compte d'unecinématique enrichie permet de rendre objectives aux maillages les réponses desstructures durant leur phase d'adoucissement mais n'instaure pas l'unicité dessolutions aux problèmes posés suite aux instabilités. Dans le cadre d'essaisbiaxiaux drainés sur des matériaux dilatants exprimés au sein des milieux dusecond gradient de dilatation, il est apparu une dépendance de la largeur desbandes de cisaillement à l'état de contraintes initial en plus des propriétés desmatériaux.A partir d'un exemple analytique d'une bande de matériau cisaillée, cettedépendance a pu être exprimée, comparée et maîtrisée en fonction des paramètresde régularisation par rapport aux résultats des simulations numériques. L'extensionde cette approche à un cas de stabilité de pente sous chargement d'une fondationsuperficielle a ensuite été entrepris. La dépendance des largeurs de bandes à l'étatde contraintes initial est apparue comme un élément clé de la maîtrise du couplageentre le modèle de second gradient de dilatation et les modèles de type Cam-Clay / The main technical objective of this PhD thesis deals with the development of a soilbehavior numerical tool. It should be robust, efficient and adapted to model themechanical behavior of geotechnical structures (e.g. embankment dam) under theworst loading scenarii such earthquakes.In the finite element method, the quality results is directly linked to the soilconstitutive model, the integration scheme and the numerical resolution. In this PhDThesis, the ECP elastoplastic soil model is introduced in Code_Aster through animplicit scheme. An implicit scheme ensures to respect the theoretical formulation ofthe model. The ECP constitutive model is one of the models available in theliterature to represent the behaviour of different kinds of soils under cyclic loadingsand it is used since the 80's by hydraulic engineers at EDF. It is expressed in termsof effective stresses and infinitesimal strains. The developments are validated forlaboratory tests in a large scale of loading paths. On the other hand, the study of asand embankment was performed and compared to the results obtained with thefinite element software GEFDyn developed at ECP.The ECP model is based on a non-associated flow rule and it is able to reproduce asoftening behavior. When shear bands occur in the structure, these properties leadto a pathological sensitivity of the results depending on the mesh size. Therefore, aregularization technique has to be used to circumvent this problem and to obtainobjective results with respect to the mesh. The second gradient of dilation model isthus chosen to be coupled to the ECP model and in this way, to ensure a spatiotemporalindependence of results. However, this mesh independence still evolves ina potential domain of solutions, when instability occurs. The simulations of drainedbiaxial tests on laboratory samples show a dependence of shear bands thickness inregard to the initial stress state and material properties.An analytical problem of a dilatant shear band is used to extract the key factors.These theoretical solutions are compared and validated to numerical responses,which are in good accordance. A bearing capacity problem was also solved todemonstrate the potential of the method. The conclusion of this work establishes themain role of initial stress state over the shear band thickness in the context of thesecond gradient of dilation model and the models based on Cam-Clay approach.

Les milieux granulaires sont très étudiés depuis des décennies mais la description de l'ensemble des comportements observés de ces matériaux reste une grande question ouverte. Lorsqu'ils sont soumis à une contrainte suffisamment importante, une caractéristique est de présenter de la localisation de la déformation. L'objectif du travail présenté dans ce mémoire est d'étudier expérimentalement et numériquement la déformation d'un milieu granulaire et de caractériser des comportements observés lors d'un text biaxial. La première partie est consacrée à la réalisation des tests biaxiaux en déformation plane. Pour pouvoir visualiser de très petites déformations, nous utilisons une méthode interférométrique basée sur la diffusion multiple de la lumière. La deuxième partie est dédiée à la modélisation numérique d'un test biaxial en 2D dans des conditions similaires à celles de l'expérience par la méthode des éléments discrets. Enfin, dans la dernière partie, des outils développés pour l'analyse d'images utilisés pour étudier aussi bien les expériences que les simulations numériques sont abordés. L'étude du champ plastique moyen dans les expériences montre que la localisation de la déformation est un processus progressif initié par une bifurcation qui correspond à l'apparition d'une direction bien définie. Cette direction est en accord avec l'angle de Mohr-Coulomb et son apparition a lieu avant la rupture du matériau. L'étude des fluctuations de la plasticité dans les expériences et les simulations numériques semble mettre en évidence une croissance d'une longueur caractéristique. / Granular materials have been studied for decades, but the description of the behaviors observed of these materials is still an open question. They display localization of deformation when submitted to a large enough stress. The objective of this work is to study experimentally and numerically the deformation of a granular material and to characterize observed behaviors in a biaxial text. The first part is devoted to the realization of plane strain biaxial tests. In order to visualize very small deformations, we use an interferometric method based on the multiple light scattering. The second part is devoted to the numerical modeling of a 2D biaxial test under conditions similar to those of the experiment by the discrete element method. Finally, in the last part, tools developed for the analysis of images used to study as well the experiences as the numerical simulations are approached. The study of the average plastic field in the experiments shows that the localization of the deformation is a progressive process initiated by a bifurcation which corresponds to the appearance of a well defined direction. This direction is in agreement with the angle of Mohr-Coulomb and its appearance takes place before the failure of the material. The study of the fluctuations of the plasticity in the experiments and the numerical simulations seems to show an increase of a characteristic length.

[pt] Um grande número de novos materiais geotécnicos foi desenvolvido baseado na adição de materiais fibrosos, sendo incorporados como elementos de reforço. A técnica de solo reforçado pode ser representada pela produção e aplicação, não somente de fibra natural, mas também de fibras sintéticas e poliméricas. Estudos anteriores de solos reforçados com fibras de polipropileno têm mostrado melhora significativa das propriedades mecânicas dos solos, tais como o aumento da resistência de pico e resistência pós-pico, ductilidade e tenacidade. Estes resultados mostram um grande potencial deste tipo de fibra, quando utilizado como reforço de solos, por exemplo, em base de fundações superficiais, aterros sobre solos moles e liners de cobertura de aterros sanitários. A partir de ajustes matemáticos para determinar a interação entre solos granulares e observações do comportamento global em macro-escala tornou possível analisar o comportamento de solos granulares reforçados com fibras de uma forma micro-mecânica. A modelagem numérica do comportamento mecânico de solos reforçados com fibras de polipropileno, através de uma análise micro-mecânica, utiliza como ferramenta o Método dos Elementos Discretos (MED), que permite a representação do solo em 2D, a partir de um conjunto de partículas de elementos discretos circulares. O MED descarta a visão clássica do solo como uma forma contínua, proporcionando a possibilidade de modelá-lo como partículas constituintes. Sua formulação baseia-se no equilíbrio de forças e de deslocamentos gerados pelos contatos, os quais são descritos através das leis da física clássica, permitindo o mapeamento dos movimentos de cada partícula. A vantagem da micro-mecânica é a possibilidade de explicitar microestruturas, tais como fibras de polipropileno, responsáveis pela mudança no comportamento do solo. Com base no estudo deste fenômeno, causado pela inserção de fibras de polipropileno em materiais granulares, formulações matemáticas foram propostas com a finalidade de descrever o comportamento de solos reforçados através da implementação do código de elementos discretos (DEMlib). Após a calibração e validação do programa, a influência decorrente da inserção do reforço de fibra ao solo foi analisada, sendo realizadas simulações de ensaios biaxiais em amostras discretas de areia, com e sem o reforço fibroso. O comportamento micro-mecânico de misturas reforçadas permitiu avaliar os efeitos das mudanças no teor de fibras presente na matriz de solo, bem como diferentes rigidezes das fibras. Conclui-se que o estudo realizado pelo Método dos Elementos Discretos identificou a real interação entre as partículas do solo e do reforço em forma de fibra, indicando que as fibras, quando inseridas no solo, podem sofrer deformações plásticas de tração e alongamento até atingir a ruptura, proporcionando a melhora nos parâmetros mecânicos do solo. / [en] A large number of new geotechnical materials was developed based on the addition of fibrous materials being incorporated as reinforcement. The technique of reinforced soil can be represented by the production and application, not only natural fiber, but also synthetic fibers and polymer. Previous studies of soil reinforced with polypropylene fibers have shown significant improvement of mechanical properties of soils, such as increasing the resistance peak and postpeak strength, ductility and toughness. These results show a great potential for this type of fiber, when used as soil reinforcement, for example, based on shallow foundations, embankments over soft soils and liners for landfill cover. From mathematical adjustments to determine the interaction between granular soils and the observation of global macro-scale become possible to analyze the behavior of granular soils reinforced with fibers in a micro-mechanics. The numerical modeling of mechanical behavior of soil reinforced with polypropylene fibers, through a micro-mechanical analysis, the tool uses as the Discrete Element Method (DEM), which allows the representation of the soil in 2D, from a set of particles circular discrete elements. The MED rule out the classical view of soil as a continuous form, providing the ability to model it as a constituent particle. Its formulation is based on the balance of forces and displacements generated by the contacts, which are explained through the laws of classical physics, allowing the mapping of movements of each particle. The advantage of micro- mechanics is the possibility of explicit microstructures, such as polypropylene fibers, responsible for the change in the behavior of the soil. Based on the study of this phenomenon, caused by the insertion of polypropylene fibers in granular materials, mathematical formulations have been proposed in order to describe the behavior of reinforced soils through the implementation of the Code of discrete elements (DEMlib). After calibration and validation program, the influence due to the insertion of fiber reinforcement to the soil was analyzed, and simulations of biaxial tests on discrete samples of sand, with and without the fibrous reinforcement. The micro-mechanical behavior of blends reinforced allowed evaluating the effects of changes in fiber content present in the soil matrix and different rigidities of the fibers. We conclude that the study by the Discrete Element Method identified the actual interaction between the soil particles and the reinforcement in the form of fiber, indicating that the fibers, when inserted into the soil, may undergo plastic deformation and tensile elongation until the rupture, providing an improvement in mechanical parameters of soil.

The goal of this thesis was the verification of the advanced time-dependent elasto-plastic material model for modeling diaphragm walls. Currently, this type of construction is solved usually with a combination of linear-elastic volume and plate elements. To express time-dependent behaviour, there are both, volume and plate, elements active in short-term conditions, then only volume elements in long-term conditions, while plate elements are deactivated. In this thesis, the Shotcrete material model, which can capture the time-dependent behaviour without combining two types of construction elements, is used. First, a theory of time-dependent behaviour is presented and a design of concrete structures by Eurocode 2 is discussed. Next, the Shotcrete material model is described, then used for modeling a biaxial test and calibration of compression and bending test. Following the gained knowledge, a real boundary value problem of deep excavation supported by diaphragm walls with the strut was solved. To calculate values of the internal forces and horizontal deformation in diaphragm walls, three types of material models are used.