Many practical cases of fracture can be considered as one-dimensional, that is, propagating in one dimension and characterised by opening (mode I) and shearing (mode II) action only with no tearing (mode III) action. A double cantilever beam (DCB) represents the most fundamental one-dimensional fracture problem. There has however been considerable confusion in calculating its mixed-mode energy release rate (ERR) partition. In this work, new and completely analytical mixed-mode partition theories are developed for one-dimensional fractures in isotropic homogeneous and laminated composite DCBs, based on linear elastic fracture mechanics (LEFM) and using the Euler and Timoshenko beam theories. They are extended to isotropic homogeneous and laminated composite straight beam structures and isotropic homogeneous plates based on the Kirchhoff-Love and Mindlin-Reissner plate theories. They are also extended to non-rigid elastic interfaces for isotropic homogeneous DCBs. A new approach is used, based on orthogonal pure fracture modes. Two sets of orthogonal pairs of pure modes are found. They are distinct from each other in the present Euler beam and Kirchhoff-Love plate partition theories and coincide on the first set in the present Timoshenko beam and Mindlin-Reissner plate partition theories. After the two sets of pure modes are shown to be unique and orthogonal, they are used to partition mixed modes. Interaction is found between the mode I and mode II modes of the first set in the present Euler beam and Kirchhoff-Love plate partition theories. This alters the ERR partition but does not affect the total ERR. There is no interaction in the present Timoshenko beam or Mindlin-Reissner plate partition theories. The theories distinguish between local and global ERR partitions. Local pureness is defined with respect to the crack tip. Global pureness is defined with respect to the entire region mechanically affected by the crack. It is shown that the global ERR partition using any of the present partition theories or two-dimensional elasticity is given by the present Euler beam or Kirchhoff-Love plate partition theories. The present partition theories are extensively validated using the finite element method (FEM). The present beam and plate partition theories are in excellent agreement with results from the corresponding FEM simulations. Approximate 'averaged partition rules' are also established, based on the average of the two present beam or plate partition theories. They give close approximations to the partitions from two-dimensional elasticity. The propagation of mixed-mode interlaminar fractures in laminated composite beams is investigated using experimental results from the literature and various partition theories. The present Euler beam partition theory offers the best and most simple explanation for all the experimental observations. It is in excellent agreement with the linear failure locus and is significantly closer than other partition theories. It is concluded that its excellent performance is either due to the failure of materials generally being based on global partitions or due to the through-thickness shear effect being negligibly small for the specimens tested. The present partition theories provide an excellent tool for studying interfacial fracture and delamination. They are readily applicable to a wide-range of engineering structures and will be a valuable analytical tool for many practical applications.

Game theory is the study of strategic interaction between rational agents. The need for understanding interaction arises in many different fields, such as: economics, psychology, philosophy, computer science and biology. The purpose of game theory is to analyse the outcomes and strategies of these interactions, in mathematical models called games. Some of these games have stood out from the rest, e.g. Prisoner's Dilemma, Chicken and Stag Hunt. These games, commonly referred to as the standard games, have attracted interest from many fields of research. In order to understand why these games are interesting and how they differ from each other and other games, many have attempted to sort games into interestingly different classes. In this thesis some already existing classifications are reviewed based on their mathematical structure and how well justified they are. Emphasis is put on mathematical simplicity because it makes the classification more generalisable to larger game spaces. From this review we conclude that none of the classifications captures both of these aspects. We therefore propose a classification of symmetric 2x2 games based on decomposition. We show that our proposed method captures everything that the previous classifications caputure. Our method arguably explains the interesting differences between the games, and we justify this claim by computer experiments. Moreover it has a simple mathematical structure. We also provide some results concerning the size of different game spaces.

This thesis explores cosmopolitan and humanist literary interventions by Palestinian, Israeli, Indian and Pakistani writers to the rise of ‘ethnically’ defined cultural and political narratives of community. It uses a comparative framework to look at contemporary authors such as Amitav Ghosh, Raja Shehadeh, Kamila Shamsie, Uzma Aslam Khan and David Grossman, who deconstruct the biologically defined border as a repressive literary, cultural and political metaphor in favour of more open-ended categories of identity and community. I argue that in deconstructing the epistemology of the exclusive boundary through cosmopolitan and humanist philosophies, these international writers demonstrate the impossibility of shedding all borders in their own work. Their ‘borderless’ aesthetic that constantly conjures the border is thus indicative of the interrelated nature of cosmopolitan and sectarian identities in a globalized modernity. Moreover, it is suggestive of the ambivalent relationship between politically-conscious postcolonial texts (which draw political lines) and the emerging field of World literature that is coming to be defined by its ability to appeal to the 'universal'.

This thesis is concerned with determining the effect of the establishment of a Jewish state on Anglo-American relations and the policies of their governments. This work covers the period from the awarding of the Palestine Mandate to Great Britain, through World War II, and concentrates on the post-war events up to the foundation of the state of Israel. It uses major governmental documents, as well as those of the United Nations, the archival materials at the Harry S. Truman Library, and the memoirs of the major participants in the Palestine drama. This study concludes that, while the Palestine problem presented ample opportunities for disunity, the Anglo-American relationship suffered no permanently damaging effects.

Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal.

Název práce: Obecná enumerace číselných rozklad· Autor: Jaroslav Hančl Katedra: Katedra aplikované matematiky Vedoucí diplomové práce: doc. RNDr. Martin Klazar, Dr., KAM MFF UK Abstrakt: Předložená diplomová práce se zabývá asymptotikami počítacích funkcí ideál· číselných rozklad·. Jejím hlavním cílem je zjistit největší možný asympto- tický r·st počítací funkce rozkladového ideálu, která je nekonečněkrát rovna nule. Autor se na základě znalosti asymptotik vybraných rozkladových ideál· snaží po- mocí kombinatorických a základních analytických metod odvodit odhady hledané asymptotiky. Výsledkem je za prvé slabší horní odhad, za druhé poměrně silný dolní odhad a za třetí, pro speciální třídu rozkladových ideál· je nalezen největší asymptotický r·st. Klíčová slova: íselné rozklady, asymptotika rozklad·, rozkladové ideály, počítací funkce, kombinatorická enumerace. 1

Les matériaux plastiques contiennent des additifs, qui ne sont pas fixés dans la matrice polymère et risquent migrer dans les aliments. La directive européenne 2002/72 a introduit la possibilité de démontrer l’aptitude au contact alimentaire de ces matériaux à partir d’approches prédictives, dont l’application est limitée par la disponibilité de données de formulation et de physico-chimie. Ces travaux visent à adapter et développer des approches analytiques rapides pour identifier et quantifier les substances majoritaires contenues dans les plastiques et à développer une approche générique de prédiction des coefficients de partage entre des polymères et les simulants de l’aliment. Des méthodes conventionnelles d’extraction par solvant et de quantification en CLHP-UV-DEDL et CPG-DIF ont été comparées pour quatre formulations modèles de PEHD et PS. Une méthode rapide de déconvolution de spectres infrarouge d’extraits de PEHD a été développée pour identifier et quantifier les additifs. Un modèle prédictif des coefficients d’activité dans les PE et les simulants est proposé. Les contributions enthalpique et entropique non configurationnelle sont évaluées à partir d’un échantillonnage des énergies de contact paire à paire. Il est démontré que la contribution entropique configurationnelle est indispensable à la description de l’affinité de molécules de grande taille dans les simulants polaires ou non constitués de petites molécules. Des arbres de décision combinant approche expérimentale et modèle sont finalement discutés dans la logique de démonstration de la conformité et de veille sanitaire / Plastic packagings are formulated with additives, which can migrate from materials into foodstuffs. According to European directive 2002/72/EC, the ability of plastic materials to be used in contact with food can be demonstrated using modelling tools. Their use is however limited due to availability of some data, like the formulation of materials and partition coefficients of substances between plastics and food. On the one hand this work aims to develop the ability of laboratories to identify and quantify the main substances in plastic materials, and on the other hand it aims to develop a new method to predict partition coefficients between polymers and food simulants. Four formulations of both HDPE and PS were chosen and used during the work. Standard extraction methods and quantification methods using HPLC-UV-ELSD and GC-FID were compared. A new deconvolution process applied on infrared spectra of extracts was developed to identify and quantify additives contained in HDPE. Activity coefficients in both phases were approximated through a generalized off-lattice Flory-Huggins formulation applied to plastic materials and to liquids simulating food products. Potential contact energies were calculated with an atomistic semi-empirical forcefield. The simulations demonstrated that plastic additives have a significant chemical affinity, related to the significant contribution of the positional entropy, for liquids consisting in small molecules. Finally, decision trees, which combine both experimental and modelling approaches to demonstrate the compliance of plastic materials, were discussed

Approved for public release; distribution is unlimited / This thesis analyses the causes and evolution of the conflict in the Republic of Moldova and capabilities of three conflict-regulating mechanisms to facilitate the final political solution of this conflict. The leading cause of the conflict is the competition among post-Soviet politicians, fighting over the division of the Soviet state and redistribution of politico-economic benefits. In their fight for power, the elites mobilized instrumental and primordial grievances of the population, thus giving an ethnic aspect to the confrontation. As an important intervening variable for the conflict escalation into a military confrontation is Russian interest in maintaining politico-economic and military domination over the region. Over time, all ethnic causes had been eliminated, thus creating the necessary conditions for the final political settlement of the conflict. However, the status quo, created around this conflict, suits the politico-economic interests of the Transdniestrian elites, and reinforced by the Russian interest in keeping the region under its influence, is encouraging them to promote a radical position toward the process of negotiations and to demand anything but independence, a fact that cannot be accepted by the legal Moldovan Government. In such circumstances, the final solution depends on the attitudes of the external players. However, the international players are dispersed over the methods of resolving this conflict, thus reinforcing the deadlock situation in the process of negotiation. This thesis argues that under the current circumstances, none of the conflict regulating mechanism, partition, confederation and federation will solve that particular conflict. However, the federalism has the most potential to serve as a tool for unification and conflict-resolution, but only if the international community and internal players will promote democratic values, rule of law and free marked orientation in the region, will reduce the benefits of the status quo situation and, finally, will offer substantial politico-economic and cultural autonomy combined with fair representation at the central level to the Transdniestrian region. / Lieutenant Colonel, Armed Forces of the Republic of Moldova

Les alcalins, généralement lithophiles à basse température, deviennent volatils à haute température et/ou sous des conditions réductrices. Il existe peu de données expérimentales sur les relations activité-composition dans les silicates fondus et aucun modèle thermodynamique ne permet de prédire leur comportement dans les liquides silicatés. Pour acquérir une base de données cohérente sur ces relations, nous avons développé un nouveau système expérimental permettant d'imposer et de contrôler, à haute température, une pression partielle de sodium sous des conditions d'oxydoréduction fixées. Une cellule thermochimique originale, simple de mise en œuvre et efficace a été conçue pour contraindre l’ensemble de ces paramètres thermodynamiques. Les résultats de cette étude montrent que les processus de condensation et de volatilisation du sodium dans les liquides silicatés du système CaO-MgO-Al2O3-SiO2 peuvent être décrits par une équation simple de type : Na(gaz) +1/2 O2(gaz) = Na2O(liq). Les données obtenues à l'équilibre sur des liquides de compositions différentes ont permis de dériver un modèle permettant de prédire la solubilité et les coefficients d’activité (aNa2O et ?Na2O) dans un liquide silicaté du système CaO-MgO-Al2O3-SiO2, à différentes températures et différentes PNa, en fonction de la composition de ce dernier. Ce modèle est basé sur la détermination de la basicité optique du liquide sans sodium, c'est-à-dire suivant l’état de polymérisation du liquide et suivant ses interactions acide-base entre oxydes. Par ailleurs, ces travaux ont permis la détermination d’un nouveau type de diagramme de phase à isoPNa. Enfin cette étude a de nombreuses applications en cosmochimie, sidérurgie et magmatologie / Alkalis in molten silicates have a complex behaviour, changing from lithophile to volatile elements depending on temperature and/or reducing conditions. However, due to the lack of experimental data concerning activity/composition relationships, there is no thermodynamic model available to describe alkali solubility in silicate melts, and their partitioning between melts, minerals and gases. In order to tackle this issue, we have developed a new device for the determination of sodium oxide activity in silicate melts by equilibration of melts with gaseous environment of known Na partial pressure at high temperature and fixed oxygen fugacity (PO2) following: Na(gaz) +1/2 O2(gaz) = Na2O(liq). Using equilibrium data we have establish a model able to predict the sodium solubility and activity in silicate melt belonging CaO-MgO-Al2O3-SiO2 system, at differents PNa and temperatures, as a function of optical basicity, i.e. melt composition. These results have allowed us to determine new type of phase diagram at isoPNa. Finally, this study have to many applications in cosmochemistry, steel and magmatic process

Terpenos são os principais constituintes dos óleos essenciais e vêm sendo explorados há mais de 3500 anos pela humanidade. Por conta das suas propriedades flavorizantes, são amplamente empregados na indústria de cosméticos e perfumaria. Apresentam ainda uma infinidade de funções biológicas, como promoção de polinização nas plantas, e proteção contra pragas e animais. Além dessas funções, muitos compostos possuem ainda atividade antimicrobiana, anti-inflamatória, antifúngica, entre outras. Tendo em vista a simplicidade estrutural dos terpenos e a alta hidrofobicidade que sugere fracas interações intermoleculares, é difícil de se imaginar como esses compostos conseguem desempenhar funções tão específicas e diversas. É de se esperar que quanto mais complexa a estrutura do composto, mais fácil seja seu reconhecimento pelo organismo. Isso mostra o grande poder de reconhecimento do meio biológico. Nesse trabalho, os parâmetros termodinâmicos de transferência da fase aquosa para a fase micelar de 10 terpenos (carvona, cânfora, cumeno, t-anetol, eugenol, limoneno, citronelal, linalol, terpineol e verbenona) e cumarina em dois sistemas, SDS 30 mmol.kg-1 + TBS 20 mmol.kg-1 e SDS 30 mmol.kg-1 + TBS 20 mmol.kg-1 + 10% v/v de etanol foram determinados buscando elucidar a incorporação micelar desses compostos. Micelas apresentam compartimentos com diferentes polaridades e podem servir como modelo para mimetizar as diferentes interações no meio biológico. Dessa forma, a utilização da cromatografia eletrocinética micelar (MEKC, do inglês Micellar Electrokinetic Chromatography) na determinação dos coeficientes de partição e dos parâmetros termodinâmicos de transferência entre as fases aquosa e micelar desses solutos pode contribuir para o entendimento da distribuição bem como auxiliar na compreensão das funções que os mesmos desempenham na natureza. A hipótese de que os parâmetros termodinâmicos podem elucidar detalhes da incorporação micelar foi ainda testada através da busca de relações lineares de energia de solvatação (LSER, do inglês Linear Solvation Energy Relashionships) com o intuito de evidenciar as principais características moleculares que contribuem para o processo detransferência. Os modelos LSER foram estudados através de regressão múltipla e análises multivariadas de PLS, SPLS, PLS-DA e SPLS-DA, com o objetivo de verificar as propriedades dos terpenos que explicam sua incorporação nas micelas. Outras análises estatísticas multivariadas, como análise de agrupamentos e PCA, foram utilizadas para estudar a variabilidade estrutural dos compostos selecionados, bem como, determinar se os descritores teóricos calculados conseguem descrever as características estruturais dos terpenos. O estudo da termodinâmica de transferência de solutos neutros da fase aquosa para a fase micelar demonstrou que mesmo pequenas diferenças estruturais das moléculas contêm informação sobre a distribuição dos compostos nos compartimentos micelares. Também podese inferir sobre o efeito do etanol nas partições e sobre a própria estrutura micelar. Os resultados para o limoneno mostraram a complexidade envolvida nas partições, levando a ideia de restrição de volume nas micelas modificadas por álcool. Resultados de LSER mostraram que a transferência da fase aquosa para a fase micelar desses compostos é governada principalmente pela interação hidrofóbica onde Vx (Volume de McGowan) foi selecionado como um dos descritores mais importantes para explicar lnP. A análise comparativa dos resultados obtidos pelos dois métodos (estudo dos parâmetros termodinâmicos e LSER) indicou similaridade de resultados. Isso demonstra a grande confiabilidade dos resultados e, então, que estudos similares usando outras soluções micelares e outras classes de compostos (hormônios, flavonoides, aminas, etc.) podem ser muito promissores. / Terpenes are the main constituents of essential oils and have been explored for more than 3,500 years. Because of their flavoring properties, terpenes are widely used in the cosmetics and perfumery industry. They also exert a multitude of ecological functions, such as the promotion of plant pollination and protection against pests and animals. In addition, many compounds have antimicrobial, antifungal, anti-inflammatory activities and others. Given the structural simplicity of terpenes and the high hydrophobicity that suggests weak intermolecular interactions, it is difficult to imagine how these compounds can perform such specific and diverse functions. It is expected that the more complex the structure of the compound, the easier it is its recognition by the organism, which does not seem to be true for this class showing the great power of recognition of the biological system. In this work, the thermodynamic parameters of aqueous and micellar phase transfer of ten terpenes (carvone, camphor, cumene, t-anethol, eugenol, limonene, citronellal, linalool, terpineol, and verbenone) and coumarin in two systems, 30 mmol.kg-1 of SDS + 20 mmol.kg-1 of TBS and 30 mmol.kg-1 of SDS, 20 mmol.kg-1 of TBS, and 10% v/v of ethanol were determined to elucidate the micellar distribution of these compounds. Micelles have compartments that possess different polarities and might be a model to mimic the different interactions that terpenes may have in the biological environment. Thus, the use of micellar electrokinetic chromatography (MEKC) in the determination of the partition coefficients and the thermodynamic parameters of transfer of the aqueous phase to the micellar phase of these solutes can contribute to the understanding of the distribution, as well as help in the understanding of the functions they perform in nature. The hypothesis that the thermodynamic parameters can elucidate details of the micellar incorporation was further analyzed through the search of Linear Solvation Energy Relashionships (LSER), in order to highlight the main molecular characteristics that contribute to the transfer process. The LSER models were studied through multiple regression and other multivariate analyzes, such as PLS, SPLS, PLS-DA and SPLS-DA, in order to verify the properties of terpenes that explain their incorporation into micelles.Other multivariate statistical analysis, such as cluster analysis and PCA were used to study the structural variability of the selected compounds, as well as to determine if the calculated theoretical descriptors can describe all the structural characteristics of the terpenes. The study of thermodynamics of transfer of neutral solutes from the aqueous phase to the micellar phase has shown that even small structural differences of the molecules contain information about the distribution of the compounds in the micellar compartments. It was also possible to infer about the effect of ethanol on the partitions and on the micellar structure. The results for limonene showed the complexity involved in the partitions, showing that occurs volume restriction in alcohol-modified micelles. Results from LSER showed that the transfer of these compounds is mainly governed by hydrophobic interactions where Vx (McGowan volume) was selected as one of the most important descriptors to explain partition. The comparative analysis of the results obtained by the two methods (thermodynamic parameters studies and LSER) indicated similarity of results. This demonstrates the great reliability of the methods, and that similar studies using other micellar solutions and other classes of compounds (hormones, flavonoids, amines, etc.) might be very promising.