Die Arbeit widmet sich dem Fließverhalten von Stählen bei zyklisch inkrementeller Torsion. Dazu werden vergleichend Reineisen und der ferritisch-perlitische Stahl 42CrMo4N bei unterschiedlichen Verformungspfaden betrachtet. Vor allem in zyklischen Torsionsversuchen mit bleibendem Verformungsinkrement je Zyklus werden Fließkurvenverläufe und Verformungsverfestigung analysiert. Die Ergebnisse belegen den Einfluss des lamellaren Zementit auf das Fließverhalten des Stahls 42CrMo4N, während die Eigenschaften des Reineisens von der entstehenden Versetzungszellstruktur bestimmt werden. Die Richtungsabhängigkeit der Fließspannung und die Verläufe der Fließkurven unterscheiden sich für die betrachteten Werkstoffe deutlich. Fließortkurven dienen der quantitativen Beschreibung der Verfestigung. Die Vorgehensweise zu ihrer Ermittlung und ihre Abhängigkeit von den Versuchsbedingungen und den Verformungszuständen werden gezeigt. Bei Reineisen dominieren isotrope, bei dem Stahl 42CrMo4N kinematische Verfestigungsanteile das Fließverhalten. / Ferritic-pearlitic steel 42CrMo4N and pure iron under different strain paths are compared regarding their flow behaviour. Mainly in cyclic torsion tests with resulting strain increment per cycle shear stresses and strain hardening are analysed. The results show, that the cementite lamellae determine the flow behaviour of the steel 42CrMo4N, whereas the properties of pure iron are governed by the evolving dislocation cell structure. The dependency of flow stress on the strain direction is different for the two materials. Yield surfaces describe strain hardening quantitatively. The procedure for yield point detection and the dependency of subsequent yield surfaces on experimental conditions and strain states is shown. For pure iron isotropic hardening, for steel 42CrMo4N kinematic strain hardening dominates the flow behaviour.

Die Arbeit widmet sich dem Fließverhalten von Stählen bei zyklisch inkrementeller Torsion. Dazu werden vergleichend Reineisen und der ferritisch-perlitische Stahl 42CrMo4N bei unterschiedlichen Verformungspfaden betrachtet. Vor allem in zyklischen Torsionsversuchen mit bleibendem Verformungsinkrement je Zyklus werden Fließkurvenverläufe und Verformungsverfestigung analysiert. Die Ergebnisse belegen den Einfluss des lamellaren Zementit auf das Fließverhalten des Stahls 42CrMo4N, während die Eigenschaften des Reineisens von der entstehenden Versetzungszellstruktur bestimmt werden. Die Richtungsabhängigkeit der Fließspannung und die Verläufe der Fließkurven unterscheiden sich für die betrachteten Werkstoffe deutlich. Fließortkurven dienen der quantitativen Beschreibung der Verfestigung. Die Vorgehensweise zu ihrer Ermittlung und ihre Abhängigkeit von den Versuchsbedingungen und den Verformungszuständen werden gezeigt. Bei Reineisen dominieren isotrope, bei dem Stahl 42CrMo4N kinematische Verfestigungsanteile das Fließverhalten. / Ferritic-pearlitic steel 42CrMo4N and pure iron under different strain paths are compared regarding their flow behaviour. Mainly in cyclic torsion tests with resulting strain increment per cycle shear stresses and strain hardening are analysed. The results show, that the cementite lamellae determine the flow behaviour of the steel 42CrMo4N, whereas the properties of pure iron are governed by the evolving dislocation cell structure. The dependency of flow stress on the strain direction is different for the two materials. Yield surfaces describe strain hardening quantitatively. The procedure for yield point detection and the dependency of subsequent yield surfaces on experimental conditions and strain states is shown. For pure iron isotropic hardening, for steel 42CrMo4N kinematic strain hardening dominates the flow behaviour.

The considerable progress in the research and development of thin-walled beam structures responds to their growing use in engineering construction and to their increased need for efficiency in strength and cost. The result is a structure that exhibits large shear strains and important non uniform warping under different loadings, such as non uniform torsion, shear bending and distortion.<p><p>A unified approach is formulated in this thesis for 3D thin walled beam structures with arbitrary profile geometries, loading cases and boundary conditions. A single warping function, defined by a linear combination of longitudinal displacements at cross sectional nodes (derived from Prokic work), is enhanced and adapted in order to qualitatively and quantitatively reflect and capture the nature of a widest possible range of behaviors. Constraints are prescribed at the kinematics level in order to enable the study of arbitrary cross sections for general loading. This approach, differing from most published theories, has the advantage of enabling the study of arbitrary cross sections (closed/opened or mixed) without any restrictions or distinctions related to the geometry of the profile. It generates automatic data and characteristic computations from a kinematical discretization prescribed by the profile geometry. The amount of shear bending, torsional and distortional warping and the magnitude of the shear correction factor is computed for arbitrary profile geometries with this single formulation.<p><p>The proposed formulation is compared to existing theories with respect to the main assumptions and restrictions. The variation of the location of the torsional center, distortional centers and distortional rotational ratio of a profile is discussed in terms of their dependency on the loading cases and on the boundary conditions.<p><p>A 3D beam finite element model is developed and validated with several numerical applications. The displacements, rotations, amount of warping, normal and shear stresses are compared with reference solutions for general loading cases involving stretching, bending, torsion and/or distortion. Some examples concern the case of beam assemblies with different shaped profiles where the connection type determines the nature of the warping transmission. Other analyses –for which the straightness assumption of Timoshenko theory is relaxed– investigate shear deformation effects on the deflection of short and thin beams by varying the aspect ratio of the beam. Further applications identify the cross sectional distortion and highlight the importance of the distortion on the stresses when compared to bending and torsion even in simple loading cases. <p><p>Finally, a non linear finite element based on the updated lagrangian formulation is developed by including torsional warping degrees of freedom. An incremental iterative method using the arc length and the Newton-Raphson methods is used to solve the non linear problem. Examples are given to study the flexural, torsional, flexural torsional and lateral torsional buckling problems for which a coupling between the variables describing the flexural and the torsional degrees of freedom occurs. The finite element results are compared to analytical solutions based on different warping functions and commonly used in linear stability for elastic structures having insufficient lateral or torsional stiffnesses that cause an out of plane buckling. <p> / Doctorat en sciences appliquées / info:eu-repo/semantics/nonPublished

För vindkraftverk i mindre skala används i huvudsak två sätt att avlasta vid höga vindhastigheter, stallreglering och girning ur vind. En tredje metod är att pitcha rotorbladet till en mindre attackvinkel. Då minskar belastningen på rotorbladet samtidigt som effektgenerering kan bibehållas. Arbetet redovisar en konstruktion för en fjädrande passiv mekanisk pitch som avgränsats till att enbart dimensionera en vridfjäder och tre lager. Konstruktionen riktas mot horisontalaxlade vindkraftverk med tre rotorblad med en rotordiameter upp till 20m. Ett idealt rotorblad modelleras matematiskt för att ta fram dimensionerande krafter och moment. Utifrån detta kan sedan vridfjäder och lager dimensioneras. Konstruktionen tillsammans med dimensioneringen visar att belastning av rotorbladet kan reduceras samt att krafter som är kopplad till effekten kan hållas mer eller mindre konstant för vindhastigheter 16 till 24 m/s. Resultat av dimensionering visar att både vridfjäder och lager kan relativt enkelt anpassas till olika axeldiametrar. Slutsatserna blir att om dimensionering görs enligt arbetet är det, åtminstone i teorin, möjligt att uppnå det önskade beteendet för pitchen. För vidare arbete och verifiering rekommenderas bland annat att göra reella tester för vridfjädern för att bestämma dess precision på grund av fjäderns små vinkelutslag. / For small-scale wind turbines, there are mainly two ways of reducing loads at high wind speeds, stall regulation and yaw the rotor out of wind. A third method is to pitch the rotor blade to a smaller angle of attack. This reduces the load on the rotor blade while maintaining power generation. The following work presents a design for a spring based passive mechanical pitch that is limited to only dimensioning a torsion spring and three bearings. The design is aimed at horizontal axis wind turbines with three rotor blades with a rotor diameter up to 20m. An ideal rotor blade is mathematically modeled to produce the forces and torques needed in order to properly dimension the torsion spring and bearings. The design shows that the load of the rotor blade can be reduced and that forces connected to the power can be kept more or less constant for wind speeds 16 to 24 m / s. The results of sizing show that both the torsion spring and bearings can be adapted to different shaft diameters relatively easy. The conclusions are that if dimensioning is done according to the presented results, it is possible, at least in theory, to achieve the desired behaviour. For further development and verification it is recommended to do real tests for the torsion spring to determine its precision due to small angle displacement in the spring.

In the paper [HSS] Herrlich, Salicrup and Strecker were able to show that Kuratowski / Mrowka's Theorem concerning compactness for topological spaces could be applied to a wider setting. In this dissertation, which is based on the paper [F subscript 1], we interpret Kuratowski / Mrowka's result in the category R-Mod. Chapter One deals mainly with the preliminary definitions and results and we also show that there is a 1-1 correspondence between torsion theories and standard factorisation systems. In Chapter Two we, obtain for every torsion theory T, a theory of T-compactness which is an extension of the definition of compactness found in [HSS]. We then obtain a characterisation of T-compactness under certain conditions on the ring R and torsion theory T. In Chapter Three we examine the class of T-compact R-modules more closely when the ring R is T-hereditary and T-noetherian. We also obtain further characterisation of T-compactness under these additional conditions. In Chapter Four we show that many topological results have analogues in R-Mod. / Mathematical Sciences / M. Sc. (Mathematics)

This project investigas humeral torsion and activity-related change in the human upper limb. Increased humeral torsion angles have been identified in the professional throwing athlete and may be associated with strenuous activity. The nature of humeral torsion as an osteogenic response to the strain environment is investigated to identify its role in the behavioural morphology of the upper limb. These physical manifestations of strenuous physical activity provide an insight into the make-up of medieval armies prior to the establishment of standing armies. Populations analysed include two blade-injured samples, Towton and a subsample of blade-injured men from the Priory of St. Andrew, Fishergate, York. The men from the Mary Rose, a Tudor warship are also investigated. Other samples analysed include the rural sites of Wharram Percy and Hickleton, the urban cemeteries from the Priory of St. Andrew, Fishergate,York and the leprosarium of Sts. James and Mary Magdalene, Chichester, the modern cadaver-based Terry collection and non-human primates, Gorilla sp., Pan sp., Pongo sp., and Macaca sp.. Measurement of the humeral torsion angle and external measurements and indices of architecture, articulations and robusticity are employed. Cross-sectional geometric properties are investigated using CT imaging of the paired humeri from a sub-sample of blade-injured individuals and a comparative sample of those who were not. Bilateral asymmetry is investigated to identify the role of plasticity within the humerus and to reveal aspects of limb dominance. The results are compared with non-human primate species to obtain insight into inter-species differences. Results indicate the humeral torsion is not ontogenetically constrained, but is highly variable between and within populations, individuals and even between sides. Biomechanical analyses indicate that in the Towton population, humeral torsion may serve as part of a two-stage adaptation, in which the architecture is modified to enable greater biomechanical efficiency in distributing strain, reducing the need of increased cortical thickness. Changes in humeral torsion related to strenuous activity have been identified, although in the blade-injured samples it is decreased torsion angles, w hile in the comparative sample it is increased torsion angles that significantly correlate with limb hypertrophy. Humeral torsion appears to be influenced by other measurementd of humeral architecture, specifically, the amount of anterior bowing and anterior curvature to the distal humeral shaft. This work demonstrates the need for individual rather than population-based analyses, as the heterogeneity within population samples obscures individual variation in activity patterns. This analysis provides baseline data for typical populations of the Middle Ages. From this, it is then possible to investigate the individual within this baseline, to identify those who stand out from their samples through habitual, strenuous activity patterns. Movement patterns identified related to warfare include those consistent with the use of the longbow in the Towton sample and the use of a sword in the Fishergate blade-injured sample. These men, and those of the Mary Rose, appear to have either been selected for combat based on size, or benefited from a more nutritious diet during growth.

Les algies pelviennes aigues constituent le premier motif de consultation aux urgences gynécologiques. Les étiologies possibles de ces algies pelviennes aigues sont nombreuses et incluent à la fois des affections gynécologiques et non gynécologiques. Certaines de ces affections peuvent, en l'absence de diagnostic précoce et d'un traitement adapté, avoir des conséquences très graves. Dans ce travail, nous avons développé un autoquestionnaire standardisé de manière qualitative dédié aux urgences gynécologiques par des entretiens structurés. Nous avons ensuite construit des modèles de prédiction clinique dédiés (i) au diagnostic de rupture tubaire chez les patientes porteuses de grossesses extra-utérines et (ii) au diagnostic de torsion d'annexe à partir de cet autoquestionnaire. Après avoir défini le concept d'urgence potentiellement à risque en gynécologie, nous avons proposé (iii) un modèle de prédiction clinique de celles-ci basé sur notre autoquestionnaire standardisé. A l'issue du développement de ces modèles, nous avons sélectionné certains items de l'autoquestionnaire standardisé afin d'en proposer une version simplifiée. L'utilisation de nos modèles pour le tri et le diagnostic des patientes aux urgences gynécologiques pourrait permettre d'optimiser la prise en charge des patientes. Dans les groupes à haut risque de pathologie, les patientes pourraient bénéficier d'une prise en charge plus rapide avec une éventuelle diminution de la morbidité secondaire à la pathologie. Pour les patientes classées à bas risque, une désescalade des examens complémentaires et des chirurgies inutiles pourrait aussi permettre une diminution de la morbidité d'origine iatrogène.

Einleitung: Tiermodelle spielen für die Aufklärung pathophysiologischer Mechanismen und die Entwicklung erfolgsversprechender Therapieoptionen zentralnervöser Bewegungsstörungen eine unverzichtbare Rolle. Die Identifizierung von Gendefekten für die Parkinson-Krankheit und Dystonien ermöglichte die Generierung von Tiermodellen mit einer hohen „construct validity“. Weibliche transgene Thy1-aSyn Mäuse sowie DYT1 Knock-in (KI) Mäuse zeigen jedoch keine motorischen Störungen. In der vorliegenden Arbeit sollten zur Aufdeckung sensomotorischer Beeinträchtigungen, die bei Parkinson- und Dystoniepatienten beobachtet werden, detaillierte Untersuchungen des Verhaltens an diesen beiden Mausmodellen durchgeführt werden. Zielstellung: Zunächst sollte ein sensitiver Verhaltenstest konstruiert und entwickelt werden, bei dem sich ändernde sensorische Stimuli während der Ausübung der motorischen Aufgabe impliziert werden. Bei der Etablierung dieses sogenannten „adaptiven rotierenden Balkentests“ (ARB-Test) sollte auch der Einfluss des genetischen Hintergrunds bei Wildtyp-Mäusen evaluiert werden. Daraufhin sollte überprüft werden, ob dieser Test den Endophänotyp der weiblichen Thy1-aSyn Mäuse aufdecken kann. In dem DYT1 KI Mausmodell sollte der Frage nachgegangen werden, ob die Tiere Verhaltensdefizite in spezifischen Tests zeigen, die sensomotorische Verschaltungen untersuchen. Material und Methoden: Die mRNA-Expression von α-Synuclein in der Substantia nigra bei männlichen und weiblichen Thy1-aSyn Mäusen wurde mithilfe der quantitativen Echtzeit-PCR (qPCR) ermittelt. Im Anschluss an die Entwicklung des neuen Verhaltensapparates für den ARB-Test wurden Thy1-aSyn Tiere beider Geschlechter in diesem Versuch getestet und ihre Leistung den Ergebnissen auf etablierten motorischen Verhaltenstests („challenging beam test“, „pole test“) gegenübergestellt. Um den Einfluss des Hintergrundstammes auf das Verhalten der Tiere auf dem ARB-Test zu untersuchen, wurden Wildtypen der reinen C57BL/6J-Linie sowie Hybrid-Tiere des Stammes C57Bl/6J × DBA2 (BDF1) allen drei o. g. Versuchen unterzogen. Bei den Mäusen des DYT1 KI Modells wurde der „adhesive removal test“ und der ARB-Test zur Analyse der Sensomotorik durchgeführt. Im Vergleich dazu wurden vielfältige Verhaltensparameter in einer Reihe vorwiegend motorischer (Offenfeld-Test, „challenging beam test“, „pole test“, Zylinder-Test, Block-Test, Nestbau-Test) und kognitiver („y-maze test“) Verhaltenstests ausgewertet. Ergebnisse: Bei den weiblichen Thy1-aSyn Mäusen wurde eine geringere Expression des Transgens im Vergleich zu den männlichen Tieren festgestellt. Der neue ARB-Test wurde erfolgreich etabliert und konnte signifikante Verhaltensdefizite der weiblichen und männlichen Mutanten des Parkinson-Modells im Vergleich zu den Kontrolltieren aufdecken. Der genetische Hintergrund beeinflusste die Leistung der Wildtypen auf diesem Balkentest. Während die DYT1 KI Tiere in den rein motorischen und kognitiven Versuchen keine Beeinträchtigungen des Verhaltens zeigten, konnten der „adhesive removal test“ sowie der neue ARB-Test signifikante sensomotorische Defizite der KI Mäuse im Unterschied zu den Wildtypen zum Vorschein bringen. Schlussfolgerung: Im Thy1-aSyn Mausmodell konnte die Bedeutung der sensomotorischen Integration für die Ausprägung motorischer Defizite sowie für eine mögliche Kompensation solcher motorischen Beeinträchtigungen demonstriert werden. Hierfür hat sich der neu entwickelte, sensitive ARB-Test als geeignet herausgestellt. Die Aufdeckung von Beeinträchtigungen der Sensomotorik spricht auch bei den DYT1 KI Tieren für den Einfluss einer gestörten sensomotorischen Integration bei der Ausprägung der Symptomatik. Damit eignet sich dieses Mausmodell für die Untersuchung weiterer Parameter, die Auswirkungen auf die Aufdeckung des Phänotyps und die Penetranz der Erkrankung haben sowie um die zugrunde liegenden pathophysiologischen Mechanismen zu erforschen.

Objetivo: verificar, através de análise por elementos finitos e de uma etapa experimental, se o ensaio de torção, como ensaio de resistência de interfaces adesivas, seria capaz de levar os espécimes à ruptura sob tensões de cisalhamento e se ele seria vantajoso em relação ao ensaio de cisalhamento. Material e Método: para a análise de tensões pelo método dos elementos finitos, os modelos tridimensionais dos dois ensaios foram constituídos por cilindro de compósito, uma camada de adesivo e um cilindro de dentina com maior diâmetro. Os espécimes foram simulados nos tamanhos convencional e micro, numa proporção de 5:1, exceto pela camada de adesivo, de espessura constante. Foram simulados dois módulos de elasticidade do cilindro de compósito (híbrido e baixa viscosidade) e, para os modelos de cisalhamento, variaram as distâncias entre o local de carregamento e a interface adesiva. Foram analisados os valores das tensões máxima principal e cisalhamento máximo e a proporção entre elas ao longo da interface dentina/adesivo; a direção dos vetores de tensão máxima principal; e o local dos picos de tensão. Na etapa experimental, foram construídos cilindros de compósito (híbrido e de baixa viscosidade) nos tamanhos convencional e micro, aderidos a uma superfície de dentina bovina por meio de três sistemas adesivos. O esforço de cisalhamento foi aplicado com fio ortodôntico a uma distância da interface adesiva baseada na literatura e, para os ensaios de torção e microtorção, foram desenvolvidos dispositivos específicos para a aplicação do torque. Os resultados de tensão de ruptura foram submetidos à análise de variância e teste de Tukey. Todas as superfícies de fratura foram analisadas por meio de microscopia eletrônica de varredura. As frequências das fraturas adesivas e coesivas foram submetidas ao teste exato de Fisher e relacionadas aos valores de tensão de ruptura experimentais, bem como suas características foram relacionadas às tensões observadas pelo método dos elementos finitos. Os parâmetros experimentais de comparação entre os ensaios foram: poder de detecção de diferenças significantes entre os sistemas adesivos; constância da classificação relativa dos mesmos ao alterar as configurações dos ensaios e frequências dos tipos de fratura. Resultados: ambos os ensaios apresentaram um estado complexo de tensões com distribuição nãouniforme. Não foi notada menor sensibilidade dos resultados do ensaio de torção às mudanças das configurações do teste, nem uma maior capacidade para detectar diferenças significantes entre os adesivos do que o ensaio de cisalhamento. O ensaio de torção apresentou maior dificuldade de execução prática e maiores frequências de fraturas coesivas, porém, estas ocorreram mais no cilindro de compósito, enquanto no cisalhamento, ocorreram mais na dentina. Não houve certeza sobre o tipo de tensão que tenha levado à fratura nos dois tipos de ensaio. Conclusões: embora não se tenha certeza se o ensaio de torção leva à ruptura sob tensões de cisalhamento e tenham sido notadas desvantagens práticas de execução do ensaio, este apresenta uma característica que sugere novos estudos: ocorrência de fraturas coesivas principalmente no cilindro de compósito, o que poderia, talvez, ser resolvido com o reforço do material do cilindro. / Objective: verify, by finite element analysis (FEA) and laboratorial tests, if the torsion bond strength test is able to lead adhesive interface to fracture under shear stress and if it would be more advantageous than wire-loop shear test. Material and method: for stress analysis by finite element method, the 3D models of both tests consisted of a resin composite cylinder, an adhesive layer and a dentin cylinder with a larger diameter. The specimens were simulated with both conventional and micro sizes, in a 5:1 ratio, except for the adhesive layer, kept in a constant thickness. Two values of elastic modulus were simulated for the composite cylinder (hybrid and flowable). For the shear models, different distances were simulated between the load point and the adhesive interface. The values of maximum principal and maximum shear stresses and the ratio between both types were analyzed along the adhesive interface, as well as the maximum principal vectors direction and the local of stress peaks. For the laboratorial tests, cylinders of hybrid and flowable resin composite, in both micro and conventional sizes, were adhered onto dentin surfaces by means of 3 adhesive systems. The shear load was applied with a metallic wire-loop at distances from the interface based on literature and, for the torsion test, the torque was applied by specific apparatus developed for that. The values of bond strength were submitted to analysis of variance and Tukeys test. Fracture surfaces were analyzed by scan electron microscopy. The frequencies of fracture types were compared by Fishers test and its relationship with bond strength values were verified, as well as the relationship between fracture features and stresses results obtained by FEA. The experimental parameters for comparison between both tests were: ability for detecting significant differences among the 3 adhesives, change of adhesives ranking while varying the test configuration and frequency of fracture types. Results: both tests showed non-uniform stress distribution. It was not noticed a lower sensibility of torsion test results to changes of the test configurations, nor a major ability for detecting significant differences among the adhesive systems than showed the shear test. The torsion test showed to be more difficult to execute and exhibited a higher frequency of cohesive fracture, however, that occurred most of the time in the composite cylinder, while it occurred mainly in dentin in shear test. There was no certainty about the kind of stress that lead to specimen fracture in both tests. Conclusions: although there was no certainty about the kind of stress that lead to specimen fracture and the major difficulty of execution of torsion test, this test exhibited a feature that suggests future studies: the occurrence of cohesive fracture mainly in the composite cylinder, which could be solved, maybe, by reinforcing the cylinder material.

Dada uma ação isométrica livre do grupo binário tetraedral G sobre esferas de dimensão ímpar, obtemos uma decomposição celular finita explícita para as formas espaciais esféricas tetraedrais, fazendo uso do conceito de região (ou domínio) fundamental. A estrutura celular deixa explícita uma descrição do complexo de cadeias sobre o grupo G. Como aplicações, utilizamos o complexo de cadeias e a interpretação geométrica do produto cup para calcular o anel de cohomologia da forma espacial esférica tetraedral em dimensão três, e também calculamos a torção de Reidemeister destes espaços para uma determinada representação de G / Given a free isometric action of a binary tetrahedral group G on odd dimensional spheres, we obtain an explicit finite cellular decomposition of the tetrahedral spherical space forms, using the concept of fundamental domain. The cellular structure gives an explicit description of the associated cellular chain complex over the group G. As applications we use the chain complex and the geometric interpretation of the cup product to calculate the cohomology ring of the tetrahedral spherical space form in three dimension, and also compute the Reidemeister torsion of these spaces for a determined representation of G