Numerical coupling of thermal-electric network models and energy-transport equations including optoelectronic semiconductor devices

In this work the numerical coupling of thermal and electric network models with model equations for optoelectronic semiconductor devices is presented. Modified nodal analysis (MNA) is applied to model electric networks. Thermal effects are modeled by an accompanying thermal network. Semiconductor devices are modeled by the energy-transport model, that allows for thermal effects. The energy-transport model is expandend to a model for optoelectronic semiconductor devices. The temperature of the crystal lattice of the semiconductor devices is modeled by the heat flow eqaution. The corresponding heat source term is derived under thermodynamical and phenomenological considerations of energy fluxes. The energy-transport model is coupled directly into the network equations and the heat flow equation for the lattice temperature is coupled directly into the accompanying thermal network. The coupled thermal-electric network-device model results in a system of partial differential-algebraic equations (PDAE). Numerical examples are presented for the coupling of network- and one-dimensional semiconductor equations. Hybridized mixed finite elements are applied for the space discretization of the semiconductor equations. Backward difference formluas are applied for time discretization. Thus, positivity of charge carrier densities and continuity of the current density is guaranteed even for the coupled model.

Foliation boudinage

In this thesis foliation boudinage and related structures have been studied based on field observations and numerical modeling. Foliation boudinage occurs in foliated rocks independent of lithology contrast. The developing structures are called ‘Foliation boudinage structures (FBSs)’ and show evidence for both ductile and brittle deformation. They are recognized in rocks by perturbations in monotonous foliation adjacent to a central discontinuity, mostly filled with vein material. Foliation boudinage structures have been studied in the Çine Massif in SW-Turkey and the Furka Pass-Urseren Zone in central Switzerland. Four common types have been distinguished in the field, named after vein geometries in their boudin necks in sections normal to the boudin axis: lozenge-, crescent-, X- and double crescent- type FBSs. Lozengetype FBSs are symmetric and characterized by lozenge-shaped veins in their boudin neck with two cusps facing opposite sides. A symmetrical pair of flanking folds occurs on the two sides of the vein. Crescent-type FBSs are asymmetric with a single smoothly curved vein in the boudin neck, with vein contacts facing to one side. X- and double crescent- type FBSs are asymmetric. The geometry of the neck veins resembles that of cuspate-lobate structures. The geometry of flanking structures is related to the shape of the veins. The veins are mostly filled with massive quartz in large single crystals, commonly associated with tourmaline, feldspar and biotite and in some cases with chlorite. The dominance of large facetted single quartz crystals and spherulitic chlorite in the veins suggest that the minerals grew into open fluidfilled space. FLAC experiments show that fracture propagation during ductile deformation strongly influences the geometry of developing veins. The cusps of the veins are better developed in the case of propagating fractures. The shape of the boudin neck veins in foliation boudinage depends on the initial orientation and shape of the fracture, the propagation behaviour of the fracture, the geometry of bulk flow, and the stage at which mineral filling takes place. A two dimensional discrete element model was used to study the progressive development of foliation boudinage structures and the behavior of visco-elastic material deformed under pure shear conditions. Discrete elements are defined by particles that are connected by visco-elastic springs. Springs can break. A number of simulations was Abstract vii performed to investigate the effect of material properties (Young’s modulus, viscosity and breaking strength) and anisotropy on the developing structures. The models show the development of boudinage in single layers, multilayers and in anisotropic materials with random mica distribution. During progressive deformation different types of fractures develop from mode I, mode II to the combination of both. Voids develop along extension fractures, at intersections of conjugate shear fractures and in small pull-apart structures along shear fractures. These patterns look similar to the natural examples. Fractures are more localized in the models where the elastic constants are low and the competence contrast is high between the layers. They propagate through layers where the constants are high and the competence contrast is relatively low. Flow localize around these fractures and voids. The patterns similar to symmetric boudinage structures and extensional neck veins (e.g. lozenge type) more commonly develop in the models with lower elastic constants and anisotropy. The patterns similar to asymmetric foliation boudinage structures (e.g. X-type) develop associated with shear fractures in the models where elastic constants and anisotropy of the materials are relatively high. In these models boudin neck veins form commonly at pull-aparts along the shear fractures and at the intersection of fractures.

Forensisch-anthropologische und traumatologische Untersuchungen an den menschlichen Skeletten aus der spätmittelalterlichen Schlacht von Dornach (1499 n. Chr.)

Der Forschungsgegenstand der vorliegenden Arbeit war die Identifikation und Interpretation von Traumata an menschlichen Skeletten. Neben einer umfassenden Darstellung des aktuellen Kenntnisstandes unter verschiedenen Gesichtspunkten wurden menschliche Überreste aus der Schlacht von Dornach 1499 n. Chr. untersucht. Ergänzend wurde eine Versuchsreihe mit Replika mittelalterlicher Waffen an Kunstköpfen durchgeführt. Für die Ansprache und Kategorisierung von Traumata an Skelettfunden existiert kein einheitliches und allgemein gebräuchliches System. Die verschiedenen Herangehensweisen und ihre Vor- und Nachteile wurden benannt und diskutiert. Nachfolgend wurden die Erscheinungsformen prä-, peri- und postmortaler Traumata bzw. Defekte sowie von Verletzungen durch stumpfe und scharfe Gewalt, Schussverletzungen und anderen Verletzungsarten dargestellt. Weitere besprochene Aspekte waren die Abgrenzung von Traumata gegen pathologische Veränderungen und anatomische Varianten sowie eine Diskussion der Methodik und Problematik der Erfassung von Verletzungsfrequenzen. Neben der Bestimmung von Geschlecht, Sterbealter und Körperhöhe wurden an den zur Untersuchung zur Verfügung stehenden Schädeln (N=106) und Femora (N=33) aus der Schlacht von Dornach 1499 n. Chr. pathologische und postmortale Veränderungen sowie als Schwerpunkt prä- und perimortale Traumata identifiziert und beschrieben. Die anthropologischen Befunde zeichneten das Bild einer in Hinsicht auf Sterbealter und Körperhöhe heterogenen Gruppe von Männern mit wenigen pathologischen Veränderungen. Die Ergebnisse wurden vor dem Hintergrund des spätmittelalterlichen Söldnerwesens diskutiert. An den Schädeln wurden insgesamt 417 perimortale Traumata identifiziert, wobei Hiebverletzungen stark überwogen. Die Entstehungsweise charakteristischer Merkmale von Hiebverletzungen konnte experimentell nachvollzogen werden. Weiter stellte sich heraus, dass Hiebverletzungen durch Schwerter und Hellebarden nur in Ausnahmefällen voneinander unterschieden werden können. Verletzungen durch punktuelle Einwirkungen und stumpfe Gewalt sowie Schussverletzungen wurden in weitaus geringerer Häufigkeit festgestellt. Experimentell konnte gezeigt werden, dass die Verletzungen durch punktuelle Einwirkungen mit einer Beibringung durch Langspiesse, Stossspitzen und Reisshaken von Hellebarden sowie Armbrustbolzen vereinbar sind, wobei beträchtliche Limitationen einer genaueren Waffenzuordnung offenkundig wurden. Die Verletzungen konnten als wohl typisch für die damalige Zeit bezeichnet werden, da sie das zeitgenössische Waffenspektrum deutlich widerspiegeln. Die Lokalisation der perimortalen Traumata am Schädel liess kein Muster erkennen, mit Ausnahme der Feststellung, dass grössere Schädelknochen mehr Verletzungen aufwiesen als kleinere. Diese regellose Verteilung wurde als Hinweis darauf verstanden, dass die Kampfweise keine „ritterliche“ gewesen sein dürfte, was in Einklang mit den damals geltenden Kriegsordnungen steht. Postmortale Veränderungen unterschiedlicher Art liessen vermuten, dass die untersuchten Individuen nicht bestattet wurden und dass die vom Schlachtfeld aufgesammelten Gebeine in Beinhäusern aufbewahrt wurden. Die Resultate bestätigten damit Angaben aus Schriftquellen und erlaubten die Zuordnung der Skelettreste zu Gefallenen des Reichsheeres. Beim Vergleich der Dornacher Stichprobe mit anderen mittelalterlichen Schlachtfeldserien traten sowohl hinsichtlich der anthropologischen Befunde als auch im Hinblick auf die Verletzungen und Verletzungsmuster deutliche Ähnlichkeiten zutage. Diese ergänzten nicht nur das lückenhafte Bild spätmittelalterlicher Heere und ihrer Kampfweise, sondern beleuchteten auch Unterschiede zwischen mittelalterlicher und neuzeitlicher Kriegsführung.

Visualization and validation of (Q)SAR models

Analyzing and modeling relationships between the structure of chemical compounds, their physico-chemical properties, and biological or toxic effects in chemical datasets is a challenging task for scientific researchers in the field of cheminformatics. Therefore, (Q)SAR model validation is essential to ensure future model predictivity on unseen compounds. Proper validation is also one of the requirements of regulatory authorities in order to approve its use in real-world scenarios as an alternative testing method. However, at the same time, the question of how to validate a (Q)SAR model is still under discussion. In this work, we empirically compare a k-fold cross-validation with external test set validation. The introduced workflow allows to apply the built and validated models to large amounts of unseen data, and to compare the performance of the different validation approaches. Our experimental results indicate that cross-validation produces (Q)SAR models with higher predictivity than external test set validation and reduces the variance of the results. Statistical validation is important to evaluate the performance of (Q)SAR models, but does not support the user in better understanding the properties of the model or the underlying correlations. We present the 3D molecular viewer CheS-Mapper (Chemical Space Mapper) that arranges compounds in 3D space, such that their spatial proximity reflects their similarity. The user can indirectly determine similarity, by selecting which features to employ in the process. The tool can use and calculate different kinds of features, like structural fragments as well as quantitative chemical descriptors. Comprehensive functionalities including clustering, alignment of compounds according to their 3D structure, and feature highlighting aid the chemist to better understand patterns and regularities and relate the observations to established scientific knowledge. Even though visualization tools for analyzing (Q)SAR information in small molecule datasets exist, integrated visualization methods that allows for the investigation of model validation results are still lacking. We propose visual validation, as an approach for the graphical inspection of (Q)SAR model validation results. New functionalities in CheS-Mapper 2.0 facilitate the analysis of (Q)SAR information and allow the visual validation of (Q)SAR models. The tool enables the comparison of model predictions to the actual activity in feature space. Our approach reveals if the endpoint is modeled too specific or too generic and highlights common properties of misclassified compounds. Moreover, the researcher can use CheS-Mapper to inspect how the (Q)SAR model predicts activity cliffs. The CheS-Mapper software is freely available at http://ches-mapper.org.