Channeling has already been an observed phenomenon that often occurs during settling and sedimentation processes of finer materials. However, it has been regarded as a minor factor affecting settling process, e.g. settling velocity or consolidation rate. In this study, settling behaviors of talcs, kaolins and attapulgite were reviewed by experiments with small and large settling columns with special focus on channel formation during sedimentation. The large settling column is equipped with twenty eight measuring points, which are connected to pressure transducers for measuring pore pressure changes during settling. Throughout the study, channel formation was observed and related to the experimental conditions affecting it. The excess pore pressure changes were measured during the large column tests. Channels occurred under flocculation in zone settling and also in consolidation zones; pressure drop was observed near channels in some cases. It was apparent that channels work as a facilitator to dissipate the excess pore water pressure. It is summarized that not only initial concentration but also the material properties, such as specific gravity and shape of particles, can affect the channel formation. / Master of Science

Topology optimization is commonly used to distribute a given amount of material to obtain the stiffest structure, with predefined fixed loads. The present work investigates the result of applying stress constraints to topology optimization, for problems with design-depending loading, such as self-weight and pressure. In order to apply pressure loading, a material boundary identification scheme is proposed, iteratively connecting points of equal density. In previous research, design-dependent loading problems have been limited to compliance minimization. The present study employs a more practical approach by minimizing mass subject to failure constraints, and uses a stress relaxation technique to avoid stress constraint singularities. The results show that these design dependent loading problems may converge to a local minimum when stress constraints are enforced. Comparisons between compliance minimization solutions and stress-constrained solutions are also given. The resulting topologies of these two solutions are usually vastly different, demonstrating the need for stress-constrained topology optimization.

Topology optimization is commonly used to distribute a given amount of material to obtain the stiffest structure, with predefined fixed loads. The present work investigates the result of applying stress constraints to topology optimization, for problems with design-depending loading, such as self-weight and pressure. In order to apply pressure loading, a material boundary identification scheme is proposed, iteratively connecting points of equal density. In previous research, design-dependent loading problems have been limited to compliance minimization. The present study employs a more practical approach by minimizing mass subject to failure constraints, and uses a stress relaxation technique to avoid stress constraint singularities. The results show that these design dependent loading problems may converge to a local minimum when stress constraints are enforced. Comparisons between compliance minimization solutions and stress-constrained solutions are also given. The resulting topologies of these two solutions are usually vastly different, demonstrating the need for stress-constrained topology optimization.

[pt] Nesta dissertação são estudados a flambagem e o comportamento pós-crítico de colunas esbeltas sob a ação do peso próprio. Primeiramente, é realizada uma análise linear para a determinação das cargas críticas e modos críticos para colunas com diferentes condições de contorno e para a determinação da relação carga-frequência. Para estudar o comportamento pós-crítico da coluna, uma formulação geometricamente exata para a análise não-linear de elementos estruturais unidimensionais foi desenvolvida, considerando uma distribuição arbitrária da carga e condições de contorno. A partir desta formulação obtém-se um conjunto de equações não-lineares de primeira ordem, as quais,juntamente com as condições de contorno dos extremos da coluna, formam o problema de valor de contorno. Este problema é resolvido pelo uso simultâneo do método de integração numérica de Runge-Kutta e pelo método de Newton- Raphson. Devido a um algorítmo de continuação, soluções precisas podem ser obtidas para uma variedade de problemas de estabilidade apresentando pontos limite ou de bifurcação. Com o uso desta formulação, é feita uma análise paramétrica detalhada a fim de possibilitar o estudo da flambagem e do comportamento pós-crítico de colunas esbeltas sujeitas a ação do peso próprio, incluindo a influência das condições de contorno na estabilidade, a distribuição dos esforços internos e o comportamento não- linear geométrico da coluna. Com o objetivo de verificar a qualidade e a precisão dos resultados, foi conduzida uma análise experimental para o caso de uma coluna esbelta engastada e livre. Os resultados experimentais obtidos para a flambagem, freqüências naturais e para o comportamento pós-crítico foram comparados de forma favorável com os resultados teóricos e numéricos. / [en] In this thesis the buckling and post-buckling behavior of slenders columns under self-weight are studied. First a linear analysis is conducted to determine the critical loads for different boundary conditions and the load-frequency relation. In order to study the post-buckling behavior of the column, a geometrically exact formulation for the non- linear analysis of uni-dimentional structural elements has been derived, considering arbitrary load distribution and boundary conditions. From this formulation one obtains a set of first-order coupled non-linear equations which, together with the boundary conditions at the column ends, form a two-point boundary value problem. This problem is solved by the simultaneous use of the Runge-Kutta integration scheme and the Newton-Raphson method. By virtue of a continuation algorithm, accurate solutions can be obtained for a variety of stability problems exhibiting either limit point or bifurcational-type buckling. Using this formulation, a detailed parametric analysis is conducted in order to study the buckling and post-buckling behavior of slender columns under self-weight, including the influence of boundary conditions on the stability, internal forces distribution and large deflection behavior of the column. To verify the quality and accuracy of the results, an experimental analysis was conducted considering a clamped-free thin-walled metal column. The buckling and post-buckling behavior as well as the load-frequency relation were obtained and compared favorably with the theoretical and numerical results. / [es] En esta disertación se estudian el flameo el comportamiento postcrítico de columnas esbeltas bajo la acción del peso proprio. Primeramente, se realiza un análisis lineal para la determinación de las cargas críticas y modos críticos para columnas con diferentes condiciones de contorno y para la determinación de la relación carga frecuencia. Para estudiar el comportamiento postcrítico de la columna, fue desarrollada una formulación geométricamente exacta para el análisis no lineal de elementos extructurales unidimensionales, considerando una distribuición arbitraria de la carga y condiciones de contorno. A partir de esta formulación se obtiene un conjunto de ecuaciones no lineales de primer orden, las cuales, juntamente con las condiciones de contorno de los extremos de la columna, forman el problema de valor de contorno. Este problema se resuelve usando simultáneamente el método de integración numérica de Runge Kutta y el método de Newton Raphson. A través de un algorítmo de continuación, pueden ser obtenidas soluciones precisas para una variedad de problemas de estabilidad presentando puntos límite o de bifurcación. Utilizando esta formulación, se realiza análisis paramétrico detallado a fin de hacer posible el estudio del flameo y del comportamiento postcrítico de columnas esbeltas sujetas a la acción del proprio peso, inclyendo la influencia de las condiciones de contorno en la estabilidad, la distribuición de los esfuerzos internos y el comportamiento no lineal geométrico de la columna. Con el objetivo de verificar la calidad y la precisión de los resultados, se ejecutó un análisis experimental para el caso de una columna esbelta y libre. Los resultados experimentales obtenidos para el flameo, frecuencias naturales y para el comportamiento postcrítico fueron comparados de forma favorable con los resultados teóricos y numéricos.

Each year in the United States, large volumes of material are dredged out of lakes and waterways and are dumped in confined disposal facilities so that they can consolidate. A mathematical model is proposed to predict the settling of the dredged material by predicting the ?primary? self-weight consolidation curve of silt particles under zone settling conditions. Using a relatively ?pure? specimen of silt, self-weight consolidation tests were performed at concentrations ranging from 10 to 200 grams per liter. To generate the predicted curve, the model requires the location of the zone interface at 180, 600, and 720 seconds and the assumed A-value. The A-value is used to ?fine-tune? the predicted curve so that it will fit the experimental curve. When values of ?A? from 0.85 to 0.95 are used, the predicted curve will fit the experimental curve for all concentrations considered. Thus, to predict the ?primary? self-weight consolidation of the dredged material, a sedimentation test using a sample of the dredged material must first be performed.

Timber constructions have during the past two or three decades become more andmore common, mostly due to the easy prefabrication and the cheap, sustainablematerial. For long-span applications it is vital to find design solutions that optimizethe structure from the point of view of material consumption, number of theconnections, structural reliability etc.This thesis focuses on the structural optimization of a long span timber structureearlier developed by a Swedish glulam company for industry buildings and sport hallapplications. The main goal of this study has been the minimization of the volume ofwood required to built the structure, given a set of geometrical restrictions and theassigned loads.The optimal shape of the structure and the arrangement of the different elementshas been investigated by means of theoretical analyses taking into account theprincipal directions of stress which would occurr in similar structures with massivecross sections. The results of this investigations give some guidelines to design newtypes of structures, where both mechanical efficiency and manufacturing issues havebeen taken into consideration.Comparisons of the structural models proposed in this thesis with the originalproposal provided by the Swedish glulam company conclude the work, suggestingsome possible improvements.

Résumé : Ce projet de recherche s’inscrit dans le cadre d’une requête de l’entreprise partenaire, Golder Associés Ltée. Cette dernière s’interrogeait sur la consolidation d’un résidu minier épaissi, une approche de plus en plus utilisée dans le domaine de la gestion des aires de déposition des résidus miniers. Ce type de matériau est épaissi jusqu’à un point où une fois déposé, il ne connaît pas ou peu de ségrégation, rejette moins d’eau et possède généralement un angle de repos plus grand que les résidus conventionnels. L’intérêt de cette approche dans le cadre de cette étude consiste en la réduction des empreintes des aires de déposition par la combinaison des résidus épaissis et des rehaussements par l’amont. La consolidation de ce type de résidus a été peu étudiée depuis leur développement. En rassemblant les observations rapportées dans les écrits scientifiques, il est possible de ressortir que le mécanisme physique générant la dissipation des pressions interstitielles en excès et le tassement au moment de la déposition est essentiellement la consolidation sous le poids propre. Un essai en colonne de tassement instrumentée de transmetteurs de pression a permis l’étude de la consolidation sous le poids propre en termes de dissipation des pressions d’eau avec une grande précision. Un essai en consolidomètre a permis de définir la compressibilité du matériau durant cette étape de consolidation sous le poids propre avec une précision acceptable. Les résultats expérimentaux ont été reproduits à l’aide du modèle CS2 suite à quelques ajustements des relations constitutives. CS2 considère la consolidation sous le poids propre et les grandes déformations d’une déposition instantanée. Le rapprochement entre le modèle CS2 et les résultats expérimentaux est sans équivoque et permet de prendre connaissance de certains aspects de la consolidation sous le poids propre qui étaient peu détaillés jusqu'à maintenant dans les écrits scientifiques. L’importance de la consolidation sous le poids propre et son intégration dans le plan de déposition proposé par l’entreprise partenaire a été évaluée à l’aide du logiciel SIGMA/W. Les capacités de ce logiciel ont tout d’abord été étudiées en 1D. Ces vérifications visaient la considération de la consolidation sous le poids propre tout en examinant la formulation de SIGMA/W pour un remplissage progressif. Ces simulations 1D ont pu être comparées aux résultats du modèle CS4, un modèle calqué sur CS2 qui permet un remplissage progressif. Finalement, une campagne de simulation à grande échelle en 2D visant la simulation d’une aire de déposition de résidus épaissis a permis d’examiner les éléments importants dans la considération de ce mécanisme à l’aide du logiciel commercial SIGMA/W. Il en ressort que le logiciel SIGMA/W n’est pas le logiciel idéal pour simuler la déposition progressive de résidus épaissis en considérant la consolidation sous le poids propre et ce pour maintes raisons. Les résultats de cette étude viennent situer l’importance de la consolidation sous le poids propre dans les résidus épaissis et fournissent une base solide pour la compréhension et la modélisation numérique de ce mécanisme en 1D ou en 2D. // Abstract : This research project was done through an academic partnership between the Université de Sherbrooke and Golder Associés Ltée., a mining consultant from Montréal. The latter had interrogations at regarding consolidation mechanisms controlling thickened tailings deposition, a relatively new approach in tailings management. This type of material are thickened to a point from which they don’t show any segregation, they expulse less water and can be stacked with a greater beach angle than conventional tailings. The combination of this method with the upstream raising method results in the possible reduction of the footprint of the tailings disposal facility. Thickened tailings have not been studied extensively. However, by gathering available information from the existing technical literature, it is apparent that the sole mechanism creating both a dissipation of excess pore water pressure and a settlement following deposition is self-weight consolidation. A settling column monitored with pressure transmitters was used to define accurately the self-weight consolidation process in terms of dissipation of excess pore water pressure. A consolidometer setup was used to define the compressibility of this material during the self-weight consolidation. Experimental results were reproduced with the numerical model CS2 which considers the self-weight consolidation and large strains. Following a few adjustments of the constitutive relationships, the numerical reproduction is clear; it represents closely the experimental results. This made it possible to document certain elements that were not well defined in the technical literature about the self-weight consolidation. The use of the finite element model SIGMA/W and its capability to consider self-weight consolidation within a tailings deposition scheme were evaluated. Firstly, the model capabilities were verified through 1D simulations that helped to document the method to adopt to model the self-weight consolidation. The formulation of SIGMA/W related to the sequential tailings placement was also studied during this phase. A comparison with the model CS4 was also performed. Secondly, the tailings disposal facility was modeled at large scale by including the sequential tailings placement and the consideration of the self-weight consolidation for each deposition. This process allowed evaluating the capabilities of SIGMA/W in large scale analysis. It appears that this numerical tool presents some numerical weaknesses especially with regards to the sequential tailings placement. Moreover, the results of this study place the self-weight consolidation of hard rock thickened mine tailings as an important mechanism that needs to be considered in a deposition scheme as it controls the short term displacements of the impoundment. Finally, they document the self-weight consolidation mechanism and provide reliable information for modelling this process in one or two-dimensional numerical analysis.

Résumé : Ce projet de recherche s’inscrit dans le cadre d’une requête de l’entreprise partenaire, Golder Associés Ltée. Cette dernière s’interrogeait sur la consolidation d’un résidu minier épaissi, une approche de plus en plus utilisée dans le domaine de la gestion des aires de déposition des résidus miniers. Ce type de matériau est épaissi jusqu’à un point où une fois déposé, il ne connaît pas ou peu de ségrégation, rejette moins d’eau et possède généralement un angle de repos plus grand que les résidus conventionnels. L’intérêt de cette approche dans le cadre de cette étude consiste en la réduction des empreintes des aires de déposition par la combinaison des résidus épaissis et des rehaussements par l’amont. La consolidation de ce type de résidus a été peu étudiée depuis leur développement. En rassemblant les observations rapportées dans les écrits scientifiques, il est possible de ressortir que le mécanisme physique générant la dissipation des pressions interstitielles en excès et le tassement au moment de la déposition est essentiellement la consolidation sous le poids propre. Un essai en colonne de tassement instrumentée de transmetteurs de pression a permis l’étude de la consolidation sous le poids propre en termes de dissipation des pressions d’eau avec une grande précision. Un essai en consolidomètre a permis de définir la compressibilité du matériau durant cette étape de consolidation sous le poids propre avec une précision acceptable. Les résultats expérimentaux ont été reproduits à l’aide du modèle CS2 suite à quelques ajustements des relations constitutives. CS2 considère la consolidation sous le poids propre et les grandes déformations d’une déposition instantanée. Le rapprochement entre le modèle CS2 et les résultats expérimentaux est sans équivoque et permet de prendre connaissance de certains aspects de la consolidation sous le poids propre qui étaient peu détaillés jusqu'à maintenant dans les écrits scientifiques. L’importance de la consolidation sous le poids propre et son intégration dans le plan de déposition proposé par l’entreprise partenaire a été évaluée à l’aide du logiciel SIGMA/W. Les capacités de ce logiciel ont tout d’abord été étudiées en 1D. Ces vérifications visaient la considération de la consolidation sous le poids propre tout en examinant la formulation de SIGMA/W pour un remplissage progressif. Ces simulations 1D ont pu être comparées aux résultats du modèle CS4, un modèle calqué sur CS2 qui permet un remplissage progressif. Finalement, une campagne de simulation à grande échelle en 2D visant la simulation d’une aire de déposition de résidus épaissis a permis d’examiner les éléments importants dans la considération de ce mécanisme à l’aide du logiciel commercial SIGMA/W. Il en ressort que le logiciel SIGMA/W n’est pas le logiciel idéal pour simuler la déposition progressive de résidus épaissis en considérant la consolidation sous le poids propre et ce pour maintes raisons. Les résultats de cette étude viennent situer l’importance de la consolidation sous le poids propre dans les résidus épaissis et fournissent une base solide pour la compréhension et la modélisation numérique de ce mécanisme en 1D ou en 2D. // Abstract : This research project was done through an academic partnership between the Université de Sherbrooke and Golder Associés Ltée., a mining consultant from Montréal. The latter had interrogations at regarding consolidation mechanisms controlling thickened tailings deposition, a relatively new approach in tailings management. This type of material are thickened to a point from which they don’t show any segregation, they expulse less water and can be stacked with a greater beach angle than conventional tailings. The combination of this method with the upstream raising method results in the possible reduction of the footprint of the tailings disposal facility. Thickened tailings have not been studied extensively. However, by gathering available information from the existing technical literature, it is apparent that the sole mechanism creating both a dissipation of excess pore water pressure and a settlement following deposition is self-weight consolidation. A settling column monitored with pressure transmitters was used to define accurately the self-weight consolidation process in terms of dissipation of excess pore water pressure. A consolidometer setup was used to define the compressibility of this material during the self-weight consolidation. Experimental results were reproduced with the numerical model CS2 which considers the self-weight consolidation and large strains. Following a few adjustments of the constitutive relationships, the numerical reproduction is clear; it represents closely the experimental results. This made it possible to document certain elements that were not well defined in the technical literature about the self-weight consolidation. The use of the finite element model SIGMA/W and its capability to consider self-weight consolidation within a tailings deposition scheme were evaluated. Firstly, the model capabilities were verified through 1D simulations that helped to document the method to adopt to model the self-weight consolidation. The formulation of SIGMA/W related to the sequential tailings placement was also studied during this phase. A comparison with the model CS4 was also performed. Secondly, the tailings disposal facility was modeled at large scale by including the sequential tailings placement and the consideration of the self-weight consolidation for each deposition. This process allowed evaluating the capabilities of SIGMA/W in large scale analysis. It appears that this numerical tool presents some numerical weaknesses especially with regards to the sequential tailings placement. Moreover, the results of this study place the self-weight consolidation of hard rock thickened mine tailings as an important mechanism that needs to be considered in a deposition scheme as it controls the short term displacements of the impoundment. Finally, they document the self-weight consolidation mechanism and provide reliable information for modelling this process in one or two-dimensional numerical analysis.

Ce travail concerne des expériences mécaniques, des analyses numériques et des modélisations analytiques de la rupture cohésives (Mode I), vis-à-vis de l’étude du comportement mis en évidence par la courbe de Résistance (Courbe-R) et l’effet d’échelle de structures entaillées en bois massif. Des expériences de fissuration sont combinées à des analyses numériques pour déterminer les propriétés de rupture au moyen d’une procédure appelée Théorie de la Mécanique de la Rupture Linéaire Élastique équivalente (TMRLE), basée sur la complaisance de la structure. La courbe-R, obtenue à partir des expériences, selon une méthode de correction du poids propre, montre l’existence d’un domaine endommagé (Zone de Processus de Rupture) de taille non négligeable se développant en fond de fissure. Dans des conditions de fissuration stationnaire, ce domaine atteint une taille critique, et l’énergie nécessaire pour faire propager la fissure avec ce domaine endommagé (par unité de surface de rupture), reste constante. Le taux de libération de l’énergie de fissuration ainsi attendu, joue un rôle important en Mécanique de la Rupture, car il est possible simuler le comportement quasi-fragile du matériau en combinaison avec les autres propriétés de cohésion. La loi d’effet d’échelle de Bažant, utilisée pour prévoir l’influence de la taille sur la contrainte nominale, est estimée à partir de la réunion de deux comportements asymptotiques réalisés sur de petites tailles (Analyse limite ou RdM) et des grandes tailles. Une procédure analytique est présentée pour évaluer le comportement asymptotique additionnel exhibé par la contrainte nominale dans le régime intermédiaire, de façon plus exacte. Une validation numérique est présentée, et l’information expérimentale vient confirmer ce comportement asymptotique. / This work concerns the mechanical testing, numerical analysis and modelling of cohesive fracture (Mode I) on the purpose to study the Resistance-curve behaviour and the size effect in wooden notched structures. The mechanical testing is combined with the numerical analysis to evaluate fracture properties by means of an equivalent LEFM approach based on the structure compliance. The Resistance-curve being revealed from the experiments, by means of a self-weight compensation method, correction puts into evidence that a non-negligible damaged domain (Fracture Process Zone) is under development in the crack front during the loading process. This being the case, among other fracture parameters issued from the Resistance-curve, the critical (asymptotic) energy release rate is determined, turning possible to use it in combination with other cohesive crack properties in the crack modelling (in Mode I). Thus, for a given geometry it is possible to monitor the critical dimension being revealed by the Fracture Process Zone (FPZ) during the crack propagation. The well known Bažant’s size effect law provides the scaling of the nominal strength through the asymptotic matching performed both on the small (Strength Theory) and on the large (LEFM) structure sizes. An analytical procedure is proposed to determine an additional asymptotic regime in the intermediate size range through a more accurate manner. Numerical validations of the proposed procedure are made and experimental data is presented revealing the scaling of the nominal strength through an envelop of values.

The Mildred Lake Settling Basin (MLSB) is the largest disposal site for mature fine tailings (MFT) at the Syncrude Canada Ltd oil sands plant. Since 1996, MFT densification in the MLSB has significantly accelerated due to microbial activity. Methane-producing microorganisms, known as methanogens, have become very active. A field and laboratory research program has been performed to study the mechanisms leading to the rapid densification. This research program consisted of historical monitoring data analyses, field investigations, small-scale column tests, and gas MFT densification tests. The field investigations have shown that the rapid densification of the MFT has occurred in the southern part of the pond ranging from 8 m to 15 m below the water surface. A connection existed between the rapid densification zone and the zone with intense microbial activity at the pond. The small-scale column tests demonstrated that, with increases of biogas generation, water drainage from the MFT was enhanced. Gas MFT densification tests showed that, stress histories and total pressure affected MFT densification property during microbial activity. Under high total pressure (6-7 m below pond surface) gas bubbles had difficulty to release. For MFT without pre-consolidation or under a preloading, during rapid gas generation, water was rapidly drained out. For over-consolidated MFT, water flowed back into MFT quickly during intense biogas generation. The concept of operative stress, the difference between the total stress and pore water pressure for the soil with large gas bubbles, was introduced to analyze the densification behavior of gassy MFT. Under high total pressure and under a preloading (1 kPa), excess pore pressure increased and operative stress decreased during rapid gas generation while water drainage from the MFT was accelerated. Total pressure and stress history also affected the structure and permeability of the MFT during microbial activity. Under low total pressure (1 m below pond surface) and without pre-consolidation, the MFT permeability increased after intense microbial activity. / Geotechnical Engineering