L’objectif de ce travail est d’étudier les couplages entre les propriétés hygroélastiques des papierset leur microstructure. L’exploitation d’images de papiers modèles acquises par microtomographieà rayons X a permis de caractériser de manière inédite l’évolution des propriétésmicrostructurales de ces matériaux en fonction de leurs conditions d’élaboration ainsique lors d’essais où ils ont été placés sous atmosphère à humidité relative contrôlée.Ces résultats constituent un apport nouveau pour la connaissance de la nature statistique desdescripteurs des propriétés des fibres (dimensions et orientation) et de leurs contacts (surface,degré de liaison), de l’architecture des réseaux fibreux que forment les papiers (nombrede contacts entre fibre) et pour la taille des volumes élémentaires représentatifs des propriétésmicrostructurales et élastiques de ces milieux. Sur la base de ces informations, différentsmodèles, plus oumoins raffinés, ont été élaborés dans le cadre de la théorie de l’homogénéisationdes structures périodiques discrètes, pour décrire les propriétésmécaniques des papiers.Cette approche apporte un éclairage nouveau sur le rôle des liaisons entre fibres sur leur comportement mécanique. / The objective of this work is to study the coupling between the hygroelastic properties ofpapers and their microstructure. The use of images of models acquired by X-ray microtomographypapers allowed the characterization in an unprecedentedmanner of the evolutionofmicrostructural properties of thesematerials according to their production conditions andduring tests where they were placed in atmosphere at controlled relative humidity. These resultsprovide a new contribution to the knowledge of the statistical nature of the descriptorsof fibre properties (size and orientation) and their contacts (surface, bonding degree ratio), ofthe architecture of fibrous networks that papers constitute (number of fibre-to-fibre bonds)as well as of the size of the representative elementary volumes of microstructural and elasticproperties. Based on this information, various models, more or less sophisticated, were developedin the framework of the theory of homogenisation of discrete periodic structures todescribe the mechanical properties of paper. This approach sheds new light on the role offibre-to-fibre bonds on themechanical behaviour of thesematerials.

A numerical treatment of non-linear higher-order geometric evolution equations with the level set and the finite element method is presented. The isotropic, weak anisotropic and strong anisotropic situation is discussed. Most of the equations considered in this work arise from the field of thin film growth. A short introduction to the subject is given. Four different models are discussed: mean curvature flow, surface diffusion, a kinetic model, which combines the effects of mean curvature flow and surface diffusion and includes a further kinetic component, and an adatom model, which incorporates in addition free adatoms. As an introduction to the numerical schemes, first the isotropic and weak anisotropic situation is considered. Then strong anisotropies (non-convex anisotropies) are used to simulate the phenomena of faceting and coarsening. The experimentally observed effect of corner and edge roundings is reached in the simulation through the regularization of the strong anisotropy with a higher-order curvature term. The curvature regularization leads to an increase by two in the order of the equations, which results in highly non-linear equations of up to 6th order. For the numerical solution, the equations are transformed into systems of second order equations, which are solved with a Schur complement approach. The adatom model constitutes a diffusion equation on a moving surface. An operator splitting approach is used for the numerical solution. In difference to other works, which restrict to the isotropic situation, also the anisotropic situation is discussed and solved numerically. Furthermore, a treatment of geometric evolution equations on implicitly given curved surfaces with the level set method is given. In particular, the numerical solution of surface diffusion on curved surfaces is presented. The equations are discretized in space by standard linear finite elements. For the time discretization a semi-implicit discretization scheme is employed. The derivation of the numerical schemes is presented in detail, and numerous computational results are given for the 2D and 3D situation. To keep computational costs low, the finite element grid is adaptively refined near the moving curves and surfaces resp. A redistancing algorithm based on a local Hopf-Lax formula is used. The algorithm has been extended by the authors to the 3D case. A detailed description of the algorithm in 3D is presented in this work. / In der Arbeit geht es um die numerische Behandlung nicht-linearer geometrischer Evolutionsgleichungen höherer Ordnung mit Levelset- und Finite-Elemente-Verfahren. Der isotrope, schwach anisotrope und stark anisotrope Fall wird diskutiert. Die meisten in dieser Arbeit betrachteten Gleichungen entstammen dem Gebiet des Dünnschicht-Wachstums. Eine kurze Einführung in dieses Gebiet wird gegeben. Es werden vier verschiedene Modelle diskutiert: mittlerer Krümmungsfluss, Oberflächendiffusion, ein kinetisches Modell, welches die Effekte des mittleren Krümmungsflusses und der Oberflächendiffusion kombiniert und zusätzlich eine kinetische Komponente beinhaltet, und ein Adatom-Modell, welches außerdem freie Adatome berücksichtigt. Als Einführung in die numerischen Schemata, wird zuerst der isotrope und schwach anisotrope Fall betrachtet. Anschließend werden starke Anisotropien (nicht-konvexe Anisotropien) benutzt, um Facettierungs- und Vergröberungsphänomene zu simulieren. Der in Experimenten beobachtete Effekt der Ecken- und Kanten-Abrundung wird in der Simulation durch die Regularisierung der starken Anisotropie durch einen Krümmungsterm höherer Ordnung erreicht. Die Krümmungsregularisierung führt zu einer Erhöhung der Ordnung der Gleichung um zwei, was hochgradig nicht-lineare Gleichungen von bis zu sechster Ordnung ergibt. Für die numerische Lösung werden die Gleichungen auf Systeme zweiter Ordnungsgleichungen transformiert, welche mit einem Schurkomplement-Ansatz gelöst werden. Das Adatom-Modell bildet eine Diffusionsgleichung auf einer bewegten Fläche. Zur numerischen Lösung wird ein Operatorsplitting-Ansatz verwendet. Im Unterschied zu anderen Arbeiten, die sich auf den isotropen Fall beschränken, wird auch der anisotrope Fall diskutiert und numerisch gelöst. Außerdem werden geometrische Evolutionsgleichungen auf implizit gegebenen gekrümmten Flächen mit Levelset-Verfahren behandelt. Insbesondere wird die numerische Lösung von Oberflächendiffusion auf gekrümmten Flächen dargestellt. Die Gleichungen werden im Ort mit linearen Standard-Finiten-Elementen diskretisiert. Als Zeitdiskretisierung wird ein semi-implizites Diskretisierungsschema verwendet. Die Herleitung der numerischen Schemata wird detailliert dargestellt, und zahlreiche numerische Ergebnisse für den 2D und 3D Fall sind gegeben. Um den Rechenaufwand gering zu halten, wird das Finite-Elemente-Gitter adaptiv an den bewegten Kurven bzw. den bewegten Flächen verfeinert. Es wird ein Redistancing-Algorithmus basierend auf einer lokalen Hopf-Lax Formel benutzt. Der Algorithmus wurde von den Autoren auf den 3D Fall erweitert. In dieser Arbeit wird der Algorithmus für den 3D Fall detailliert beschrieben.

[pt] Esta pesquisa procura apresentar os elementos básicos da qual se compõe uma Teologia Fundamental latino-americana. Tal teologia tenciona explicitar os desafios específicos da Revelação de Deus em seu contexto, marcado pela opressão e exclusão, mas também por uma teologia que busca a libertação. No presente trabalho serão investigados a Teologia Fundamental, enquanto disciplina teológica que procura justificar a automanifestação de Deus na história; o conceito de Revelação, como conteúdo daquela teologia, compreendido a partir dos desafios da Modernidade e das intuições do Concílio Vaticano II; e a Teologia da Libertação latino-americana, enquanto perspectiva que compreende a revelação a partir do excluídos. Através de uma inter-relação entre as questões abordadas, a pesquisa buscará apontar as principais características de uma Teologia Fundamental em perspectiva latino-americana: primeiro, em relação ao papel dos pobres, seja enquanto lugar social, lugar hermenêutico ou lugar teológico; segundo, em relação às particularidades de uma Teologia Fundamental latino-americana, na qual destaca-se o reconhecimento de que Deus se manifesta também na história presente, a centralidade da opção preferencial pelos pobres, a necessidade do método ver, julgar e agir, a singularidade da identidade eclesial libertadora, bem como a relevância de um fazer teológico dialogal, crítico, plural e transdisciplinar, e a constituição de um modelo de Teologia Fundamental latino-americano centrado na libertação. Uma Teologia Fundamental latino-americana é, portanto, uma reflexão sobre a historicização do Reinado de Deus nos excluídos, e tal revelação só pode ser percebida e descrita com eles, a partir deles e neles, tendo em vista sua libertação. / [en] This research aims to present elements that make up a Latin American Fundamental Theology. Such theology intends to explain the challenges of the Revelation of God in its context, marked not only by oppression and exclusion but also by a theology that pursues liberation. Fundamental Theology is investigated further as a discipline that seeks to justify the self-manifestation of God in history; the concept of Revelation, conceived from the challenges of Modernity and the intuitions of the Second Vatican Council; and Latin American Liberation Theology, as a perspective that understands Revelation from the point of view of the excluded. Through an interrelationship among the issues addressed, the research will seek to point out the main characteristics of a Fundamental Theology from a Latin American perspective: first, concerning the role of the poor, whether as a social place, hermeneutic place, or theological place; second, regarding the particularities of a Latin American Fundamental Theology, in which the recognition that God is present in history, the centrality of the preferential option for the poor, the need for the See, Judge, and Act Methodology, the uniqueness of the liberating ecclesial identity, along with the relevance of dialogical, critical, plural and transdisciplinary theological practice, and the constitution of a Latin American model of Fundamental Theology focused on liberation. A Latin American Fundamental Theology is, therefore, a reflection on the historicization of the Reign of God through excluded that can be recognized and described with them, from them, and in them, aiming for their liberation.

Text in Afrikaans / In hierdie verhandeling word die tekste van onderskeidelik Mireille Cottenje (Dagboek van Carla - 1968), Daisy Ver Boven (Mayana - I974 ), Henriette Claessens (Afscheid van Rumangabo - 1983) en Lieve Joris (Terug naar Kongo - 1987) bespreek as verteenwoordigend van die koloniale literatuur deur die vroulike outeur. Die doel is om vas te stel hoe daar deur die vroue outeur in die Vlaamse letterkunde aan die Afrika-ervaring gestalte gegee is. Eerstens word 'n oorsig van die begrip koloniale literatuur gegee en daama word literer-histories op die Vlaamse Afrika-literatuur vanaf die prekoloniale- tot die postkoloniale era gefokus. Nadat 'n analise van die tekste gedoen is om die individuele perspektiewe te evalueer, blyk dit dat die vroue outeurs in 'n groot mate gemeenskaplike visies in hul siening van die koloniale era openbaar. 'n Beeld van die koloniale Kongo soos dit in die ervaringswereld van die vroue outeurs bly voortleefhet, kan so verkry word / In this thesis, the texts of Mireille Cottenje (Dagboek van Carla - 1968), Daisy Ver Boven (Mayana - 1974), Henriette Claessens (Afscheid van Rumangabo - 1983) and Lieve Joris (Terug naar Kongo - 1987) were respectively studied as representative of the colonial literature written by female authors. The aim is to establish how stature is given in the literature to the Africa experience by the female author. In the first instance the concept colonial literature is discussed followed by a historical review of the Flemish African literature from the pre-colonial to the postcolonial era. After an analysis has been completed to evaluate the individual perspectives of the different authors, it appears that the female authors reveal shared perspectives in their views on the colonial era. Through knowledge of the work of these authors, an image of the colonial Congo can be found, as it lives on in the world of the female literator / Afrikaans & Theory of Literature / M.A. (Afrikaans)

Text in Afrikaans / In hierdie verhandeling word die tekste van onderskeidelik Mireille Cottenje (Dagboek van Carla - 1968), Daisy Ver Boven (Mayana - I974 ), Henriette Claessens (Afscheid van Rumangabo - 1983) en Lieve Joris (Terug naar Kongo - 1987) bespreek as verteenwoordigend van die koloniale literatuur deur die vroulike outeur. Die doel is om vas te stel hoe daar deur die vroue outeur in die Vlaamse letterkunde aan die Afrika-ervaring gestalte gegee is. Eerstens word 'n oorsig van die begrip koloniale literatuur gegee en daama word literer-histories op die Vlaamse Afrika-literatuur vanaf die prekoloniale- tot die postkoloniale era gefokus. Nadat 'n analise van die tekste gedoen is om die individuele perspektiewe te evalueer, blyk dit dat die vroue outeurs in 'n groot mate gemeenskaplike visies in hul siening van die koloniale era openbaar. 'n Beeld van die koloniale Kongo soos dit in die ervaringswereld van die vroue outeurs bly voortleefhet, kan so verkry word / In this thesis, the texts of Mireille Cottenje (Dagboek van Carla - 1968), Daisy Ver Boven (Mayana - 1974), Henriette Claessens (Afscheid van Rumangabo - 1983) and Lieve Joris (Terug naar Kongo - 1987) were respectively studied as representative of the colonial literature written by female authors. The aim is to establish how stature is given in the literature to the Africa experience by the female author. In the first instance the concept colonial literature is discussed followed by a historical review of the Flemish African literature from the pre-colonial to the postcolonial era. After an analysis has been completed to evaluate the individual perspectives of the different authors, it appears that the female authors reveal shared perspectives in their views on the colonial era. Through knowledge of the work of these authors, an image of the colonial Congo can be found, as it lives on in the world of the female literator / Afrikaans and Theory of Literature / M.A. (Afrikaans)