Структурирована существующая методика расчета подкрановых балок и проанализировано влияние дефектов на напряженно-деформированное состояние подкрановых балок. / The existing method of calculating crane beams is structured and the effect of defects on the stress-strain state of crane beams is analyzed.

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No / The effect of matrix polymer and filler content on the rheological behavior of hydroxyapatite-filled injection molding grade high-density polyethylene (HDPE) has been studied. Studies of the flow curves revealed that the matrix and the composite exhibit three distinct regions in the flow curve, namely, a pseudoplastic region at low to moderate shear rates, a plateau and a second pseudoplastic region at high shear rates. The shear stress corresponding to the plateau (Tc) is dependent on both the filler concentration and the melt temperature. Addition of HA in the HDPE matrix increases the value of Tc and decreases compressibility of the melt. An increase in temperature also raises the value of Tc. From the nature of flow curves it is concluded that the matrix polymer largely decides the rheology of the composite.

Thermomechanical processes such as hot rolling have been used in the industry for a long time to process and shape metals to a desired form with specific properties. However it can be difficult to make changes to the different process parameters. That's where it is beneficial to use a hot deformation simulator such as the Gleeble 3800-GTC. It can be used to test metals in a controlled environment where the deformation, temperature and other parameters are easily changed. When the machine uses a Hydrawedge module, it is able to simulate hot rolling using uniaxial compression at high temperatures. Swerim AB has one such machine and has requested to investigate what occurs inside a specimen during testing in the Gleeble, specifically inside two low-alloyed steels with a hardness between 400 and 500 HV. Such tests were replicated using LS-DYNA, an FE software. The goal was to acquire true stress-strain graphs that showed similar behaviour to the data from the Gleeble and plots of the effective plastic strain which could be correlated to the grain structure pattern inside the deformed cylinders. An FE-model was created which replicates the procedure. The model was verified through numerous steps. An initial mesh verification was done where the simulation time took at least 5 hours and at most 86 hours. Using a technique called mass scaling, the elements inside the model were manipulated using additional mass to increase their time step and reduce the computational time. A verification of the mass scaling was done where the computational time was weighed off against accuracy. Afterwards the friction had to be verified where it was found that the Gleeble test specimens were deformed more than necessary which was taken into account and the models were adjusted for friction verification. After all was said and done, the model had a reasonable friction coefficient with an optimal mesh and mass scaling configuration. The resulting model simulated a test of 0.5 seconds in 15 minutes and only costing at most 10 MPa in accuracy when experimental results have maximum values between 110 to 220 MPa depending on the scenario. This equals an approximate error of around 5-10%. When investigating the grain structure after 100 seconds of relaxation, the computational time amounted to 52 hours but could be reduced to 12 hours when simulating 30 seconds as there was no change in the effective plastic strain after that time. The final model has a high enough accuracy which, when combined with the Gleeble, is able to confirm material models and describe what occurs in the material during conditions akin to hot rolling.

Acute mental stress is an everyday phenomenon that has evidently intensified over the past decades and poses significant health risks. Conventional methods for stress assessment are not suitable for everyday use. They are suitable only for clinical and laboratory assessment because they require full attention, limit the freedom of movement (sensors, cables), often require trained personnel or special equipment, and thus are cost-intensive. This work investigates camera-based photoplethysmography (cbPPG), a non-contact technique for the monitoring of cardiovascular vital signs, as an alternative for the assessment of acute mental stress that is suitable for everyday use. As a non-contact technique cbPPG is considered susceptible to artifacts. To overcome limitations of existing cbPPG methods, this work covers essential developments for the robust extraction of non-contact vital signs in addition to the assessment of acute mental stress. An experimental study was designed and conducted with 65 healthy participants to gain a database for cbPPG including synchronized reference measurements (e.g. electrocardiography, skin conductance, salivary cortisol concentration). The experimental study resulted in the „Dresden Multimodal Biosignal Dataset for the Mannheim Multi-component Stress Test“ (DMBD). In addition, the „Binghamton-Pittsburgh-RPI Multimodal Spontaneous Emotion Database“ (BP4D+) was utilized. For robust extraction of non-contact vital signs measured with cbPPG, a novel method for the extraction of cbPPG signals was developed: O3C. O3C optimizes the combination of the color channels of RGB cameras with an evaluation metric in a specialized, systematic grid search. Several investigations on properties of the novel method revealed that the grid search always identified a global optimum. O3C was independent of different skin tones and the choice of evaluation metric. Temporal normalization of the RGB color channels improved the transferability of O3C between datasets (DMBD, BP4D+). At the example of breath rate measurement, it was shown that the method behind O3C is transferable from pulse rate to other vital signs. In addition, a novel method for automatic, reference-free identification of erroneous measurements was developed on the basis of signal quality indexes (SQIs). The developments on robust extraction of non-contact vital signs contribute to the fundamentals of cardiovascular monitoring that is suitable for everyday use. Among other aspects, this forms the basis for non-contact assessment of acute mental stress with cbPPG. In the experimental study (DMBD), conventional reference methods showed distinct changes in psychometric variables, chemical biomarkers, and contact-based vital signs during acute mental stress. The results are widely in line with existing literature and indicated successful activation of the hypothalamic-pituitary-adrenal axis (HPA axis) as well as sympathetic activation of the autonomic nervous system. A special characteristic of this investigation on stress assessment resides in the large variety of synchronized reference parameters, which allows a side-by-side comparison of the effectiveness of different measurement techniques. To assess the physiological reaction to acute mental stress with non-contact technique, ten vital signs derived with cbPPG were analyzed. The cbPPG vital signs registered positive chronotropy, peripheral vasoconstriction, and altered respiration in accordance with reference measurements. Thus, they also successfully indicated sympathetic activation of the autonomic nervous system. In a machine learning approach, the cbPPG vital signs were effective in detecting the immediate stress response with a fairly high temporal resolution of 30 s. These investigations are unique in terms of their extent and the possibility to adduce diverse synchronized reference measurements for comparison. They provide valuable insights into capabilities and effectiveness of cbPPG for non-contact assessment of acute mental stress. The findings of this work pave the way for robust non-contact monitoring with cbPPG. At the example of acute mental stress, a method for physiological assessment of the human state that is suitable for everyday use has been presented. This provides new opportunities to make use of the great potential that cbPPG offers for numerous everyday applications (e.g. telemedical video consultations, adaptive human-machine interfaces).:1 Introduction .. 1.1 Relevance .. 1.2 Scope .. 1.3 Outline .. 1.4 Delineation 2 Physiological Fundamentals .. 2.1 Stress and Strain .. .. 2.1.1 Historical Development .. .. 2.1.2 Definition .. 2.2 Endocrine System .. 2.3 Autonomic Nervous System .. 2.4 Cardiovascular System .. .. 2.4.1 Heart .. .. 2.4.2 Vascular System .. .. 2.4.3 Facial Vasculature .. 2.5 Skin 3 Methods to Assess the Human Response to Acute Mental Stress .. 3.1 Clinical and Laboratory Procedures .. .. 3.1.1 Stress Induction .. .. 3.1.2 Stress Response Assessment .. 3.2 Biomedical Engineering Techniques .. .. 3.2.1 Conventional Techniques .. .. .. 3.2.1.1 Electrocardiography .. .. .. 3.2.1.2 Photoplethysmography .. .. .. 3.2.1.3 Blood Pressure Measurement .. .. .. 3.2.1.4 Electrodermal Activity .. .. .. 3.2.1.5 Vital Signs of Conventional Techniques .. .. 3.2.2 Non-contact Techniques .. .. .. 3.2.2.1 Overview .. .. .. 3.2.2.2 Comparison .. 3.3 Summary 4 Camera-based Photoplethysmography .. 4.1 Functional Principle .. 4.2 Measurement Technology .. 4.3 Pulse Rate Measurement .. 4.4 Algorithms for Signal Extraction .. .. 4.4.1 Image Processing .. .. 4.4.2 Channel Combination .. .. 4.4.3 Signal Processing .. .. 4.4.4 Excursus: A Note on Deep Learning .. .. 4.4.5 Summary .. 4.5 Application to Stress Assessment 5 Study Design .. 5.1 Binghamton-Pittsburgh-RPI Multimodal Spontaneous Emotion Database .. 5.2 Dresden Multimodal Biosignal Dataset for the Mannheim Multicomponent Stress Test .. .. 5.2.1 Protocol .. .. 5.2.2 Setup .. .. 5.2.3 Annotations .. .. 5.2.4 Cohort Summary 6 Investigations on Robust Extraction of Non-contact Vital Signs .. 6.1 Color Space Transformations .. 6.2 Novel Method for the Optimization of Color Channel Combinations .. 6.3 Impact of Skin Tone on the Optimal Color Channel Combination .. 6.4 Impact of Normalization on the Optimal Color Channel Combination .. 6.5 Impact of Evaluation Metric on the Optimal Color Channel Combination .. 6.6 Optimal Color Channel Combination for Breath Rate Measurement .. 6.7 Signal Quality Index Filtering .. 6.8 Summary 7 Investigations on the Assessment of Acute Mental Stress .. 7.1 Examination of Reference Parameters .. 7.2 Examination of Camera-based Vital Signs .. 7.3 Prediction from Camera-based Vital Signs .. 7.4 Summary 8 Conclusion .. 8.1 Summary .. 8.2 Outlook References Appendix .. A Schematic Structure of the Autonomic Nervous System .. B Other Conventional Techniques for Biosignal Acquisition .. C Recording and Synchronization of the Dresden Multimodal Biosignal Dataset for the Mannheim Multicomponent Stress Test .. D Definition of Regions of Interest From Facial Landmarks .. E Definition of Color Space Transformations .. F Extended Results of Camera-based Pulse Rate Measurement With Different Color Spaces and Regions of Interest .. G Level-Set Regions of Interest in the Experimental Study .. H Relative Accuracy Differences Across the Hemispherical Surface Grid for Multiple Settings .. I Descriptive Statistics for the Reference Vital Signs of the Experimental Study .. J Insignificant Reference Vital Signs of the Experimental Study .. K Statistics for the Binary Logistic Regression with Forward Selection .. .. K.1 Omnibus Tests of Model Coefficients .. .. K.2 Model Summary .. .. K.3 Hosmer and Lemeshow Test .. .. K.4 Classification Table .. .. K.5 Equation Variables / Akuter mentaler Stress ist ein alltägliches Phänomen, dass sich im Laufe der vergangenen Jahrzehnte nachweislich intensiviert hat und ein Risiko für die Gesundheit darstellt. Herkömmliche Methoden zur Stressbewertung sind nicht alltagstauglich. Sie eignen sich nur für Klinik und Labor, da sie volle Aufmerksamkeit erfordern, Bewegungsfreiheit einschränken (Sensoren, Kabel), zumeist Fachpersonal oder Spezialausrüstung voraussetzen und entsprechend kostenintensiv sind. Diese Arbeit beschäftigt sich mit der kamerabasierten Photoplethysmographie (cbPPG), einer kontaktlosen Technik zum Monitoring kardiovaskulärer Vitalparameter, als alltagstaugliche Alternative zur Bewertung der physiologischen Reaktion auf akuten mentalen Stress. Als kontaktlose Technologie gilt cbPPG allerdings als artefaktanfällig. Um Limitationen bestehender Methoden zu überwinden, umfasst diese Arbeit neben der Stressbewertung mit cbPPG essenzielle Weiterentwicklungen zur robusten Extraktion kontaktloser Vitalparameter. Um eine Datenbasis für cbPPG mit zahlreichen Referenzmessverfahren (z. B. Elektrokardiografie, Hautleitfähigkeit, Speichelkortisolkonzentration) zu schaffen, wurde eine Experimentalstudie mit 65 gesunden Probanden aufgesetzt. Daraus resultierte das „Dresden Multimodal Biosignal Dataset for the Mannheim Multi-component Stress Test“ (DMBD). Zusätzlich fand die „Binghamton-Pittsburgh-RPI Multimodal Spontaneous Emotion Database“ (BP4D+) Anwendung. Für die robuste Extraktion von Vitalparametern mit cbPPG wurde eine neuartige Methodik zur Signalextraktion entwickelt: O3C. O3C optimiert die Kombination der Farbkanäle einer RGB-Kamera in einer spezialisierten, systematischen Rastersuche anhand einer Evaluationsmetrik. Die Untersuchung zentraler Eigenschaften von O3C zeigte, dass stets ein globales Optimum der Rastersuche existiert und die neue Methode robust gegenüber verschiedenen Hauttönen und Evaluationsmetriken ist. Zeitliche Normalisierung der RGB-Farbkanäle verbesserte die Übertragbarkeit von O3C zwischen verschiedenen Datensätzen (DMBD, BP4D+). Am Beispiel der Atemratenmessung wurde gezeigt, dass die Methodik von O3C auf andere Vitalparameter übertragbar ist. Darüber hinaus wurde eine neue Methode zur referenzfreien Identifikation fehlerhafter Messungen mittels Signalqualitätsindizes (SQIs) entwickelt. Die Entwicklungen zur robusten Extraktion von Vitalparametern leisten einen grundlegenden Beitrag für das alltagstaugliche kardiovaskuläre Monitoring mit cbPPG. Damit schaffen sie unter anderem die Voraussetzung für die kontaktlose Stressbewertung mit cbPPG. Die Referenzmessverfahren der Experimentalstudie (DMBD) zeigten bei akutem mentalem Stress deutliche Veränderungen psychometrischer Variablen, chemischer Biomarker und kontaktbasiert erfasster Vitalparameter. Die Ergebnisse stehen in weitreichender Übereinstimmung mit bisheriger Literatur und wiesen die erfolgreiche Aktivierung der Hypothalamus-Hypophysen-Nebennierenrinden-Achse und die sympathische Aktivierung des autonomen Nervensystems aus. Eine Besonderheit dieser Untersuchung zur Stressbewertung liegt in der Vielfalt synchronisierter Referenzparameter, mit der sich die Effektivität verschiedener Referenzmessverfahren direkt gegenüberstellen lässt. Für die kontaktlose Bewertung der physiologischen Reaktion auf akuten mentalen Stress wurden zehn cbPPG Vitalparameter analysiert. Die cbPPG Vitalparameter erfassten positive Chronotropie, periphere Vasokonstriktion und veränderte Atmung, und zeigten damit ebenfalls die sympathische Aktivierung des autonomen Nervensystems erfolgreich an. Die cbPPG Vitalparameter eigneten sich darüber hinaus zur zuverlässigen automatisierten Detektion der unmittelbaren Stressreaktion mit einer hohen zeitlichen Auflösung von 30 s. Die Untersuchungen sind einzigartig in ihrem Umfang und der Möglichkeit, diverse Referenzmessverfahren zum Vergleich heranzuziehen. Sie liefern damit wertvolle Erkenntnisse über Möglichkeiten und Leistungsfähigkeit von cbPPG zur kontaktlosen Stressbewertung. Die Ergebnisse dieser Arbeit ebnen den Weg für ein robustes kontaktloses Monitoring mittels cbPPG. Am Beispiel akuten mentalen Stresses wurde eine Methode zur alltagstauglichen Bewertung physiologischer Zustände aufgezeigt. Damit eröffnen sich neue Möglichkeiten, das große Potenzial von cbPPG für zahlreiche Anwendungsfälle (z. B. adaptive Mensch-Maschine-Schnittstellen, telemedizinische Videokonsultationen) alltagstauglich zu erschließen.:1 Introduction .. 1.1 Relevance .. 1.2 Scope .. 1.3 Outline .. 1.4 Delineation 2 Physiological Fundamentals .. 2.1 Stress and Strain .. .. 2.1.1 Historical Development .. .. 2.1.2 Definition .. 2.2 Endocrine System .. 2.3 Autonomic Nervous System .. 2.4 Cardiovascular System .. .. 2.4.1 Heart .. .. 2.4.2 Vascular System .. .. 2.4.3 Facial Vasculature .. 2.5 Skin 3 Methods to Assess the Human Response to Acute Mental Stress .. 3.1 Clinical and Laboratory Procedures .. .. 3.1.1 Stress Induction .. .. 3.1.2 Stress Response Assessment .. 3.2 Biomedical Engineering Techniques .. .. 3.2.1 Conventional Techniques .. .. .. 3.2.1.1 Electrocardiography .. .. .. 3.2.1.2 Photoplethysmography .. .. .. 3.2.1.3 Blood Pressure Measurement .. .. .. 3.2.1.4 Electrodermal Activity .. .. .. 3.2.1.5 Vital Signs of Conventional Techniques .. .. 3.2.2 Non-contact Techniques .. .. .. 3.2.2.1 Overview .. .. .. 3.2.2.2 Comparison .. 3.3 Summary 4 Camera-based Photoplethysmography .. 4.1 Functional Principle .. 4.2 Measurement Technology .. 4.3 Pulse Rate Measurement .. 4.4 Algorithms for Signal Extraction .. .. 4.4.1 Image Processing .. .. 4.4.2 Channel Combination .. .. 4.4.3 Signal Processing .. .. 4.4.4 Excursus: A Note on Deep Learning .. .. 4.4.5 Summary .. 4.5 Application to Stress Assessment 5 Study Design .. 5.1 Binghamton-Pittsburgh-RPI Multimodal Spontaneous Emotion Database .. 5.2 Dresden Multimodal Biosignal Dataset for the Mannheim Multicomponent Stress Test .. .. 5.2.1 Protocol .. .. 5.2.2 Setup .. .. 5.2.3 Annotations .. .. 5.2.4 Cohort Summary 6 Investigations on Robust Extraction of Non-contact Vital Signs .. 6.1 Color Space Transformations .. 6.2 Novel Method for the Optimization of Color Channel Combinations .. 6.3 Impact of Skin Tone on the Optimal Color Channel Combination .. 6.4 Impact of Normalization on the Optimal Color Channel Combination .. 6.5 Impact of Evaluation Metric on the Optimal Color Channel Combination .. 6.6 Optimal Color Channel Combination for Breath Rate Measurement .. 6.7 Signal Quality Index Filtering .. 6.8 Summary 7 Investigations on the Assessment of Acute Mental Stress .. 7.1 Examination of Reference Parameters .. 7.2 Examination of Camera-based Vital Signs .. 7.3 Prediction from Camera-based Vital Signs .. 7.4 Summary 8 Conclusion .. 8.1 Summary .. 8.2 Outlook References Appendix .. A Schematic Structure of the Autonomic Nervous System .. B Other Conventional Techniques for Biosignal Acquisition .. C Recording and Synchronization of the Dresden Multimodal Biosignal Dataset for the Mannheim Multicomponent Stress Test .. D Definition of Regions of Interest From Facial Landmarks .. E Definition of Color Space Transformations .. F Extended Results of Camera-based Pulse Rate Measurement With Different Color Spaces and Regions of Interest .. G Level-Set Regions of Interest in the Experimental Study .. H Relative Accuracy Differences Across the Hemispherical Surface Grid for Multiple Settings .. I Descriptive Statistics for the Reference Vital Signs of the Experimental Study .. J Insignificant Reference Vital Signs of the Experimental Study .. K Statistics for the Binary Logistic Regression with Forward Selection .. .. K.1 Omnibus Tests of Model Coefficients .. .. K.2 Model Summary .. .. K.3 Hosmer and Lemeshow Test .. .. K.4 Classification Table .. .. K.5 Equation Variables

This interdisciplinary doctoral dissertation addresses land subsidence in different and diverse study cases in the world, employing advanced techniques and methodologies to measure their magnitude and comprehensively explore its causes, and implications. Investigating areas such as the San Luis Potosi metropolitan area, Alaşehir-Sarıgöl sub-basin (ASSB) in Türkiye, and the Alto Guadalentín Valley in Spain, the research unveils critical insights into the complex dynamics of subsidence phenomena. Utilizing advanced remote sensing techniques like Persistent Scatterer Interferometry (PSI) and Coherent Pixels Technique (CPT), the study assesses subsidence rates and correlates them with factors such as trace faults, groundwater extraction, and soft soil thickness. Validation methodologies were developed and proposed to the scientific community on the first stage, integrating Global Navigation Satellite System (GNSS) benchmarks, enhance the reliability of Differential Synthetic Aperture Radar Interferometry (DInSAR) measurements, ensuring a robust foundation for subsequent analyses. The research aims to contribute to the understanding of land subsidence and contribute to create a decision-support framework to mitigate the phenomenon while addressing specific research objectives within each identified topic of inquiry. The research topic 1 includes the “DInSAR for monitoring land subsidence in overexploited aquifers”. In the San Luis Potosi metropolitan area (Mexico), the application of CPT technique reveals intriguing correlations between trace faults, land subsidence, and groundwater extraction. Specifically, areas in the municipality of Soledad de Graciano Sánchez exhibit subsidence values ranging between -1.5 and -3.5 cm/year, while in San Luis Potosi, values range from -1.8 to -4.2 cm/year. The validation of CPT results against five Global Navigation Satellite System (GNSS) benchmarks establishes a robust correlation of 0.986, underlining the reliability of InSAR-derived deformations. Additionally, in regions like the Alaşehir-Sarıgöl sub-basin (Türkiye), where water stress is heightened due to intensive agricultural irrigation, the study explores the roles of tectonic activity and groundwater withdrawal in land subsidence. Utilizing the P-SBAS algorithm, 98 Sentinel-1 SAR images in ascending orbits and 123 in descending orbits were analysed, covering the period from 2016 to 2020. Independent Component Analysis was applied to distinguish long-term displacements from seasonal variations in the DInSAR time series data. Displacement rates of up to -6.40 cm/year were identified, thus, the proposed P-SBAS algorithm facilitates the monitoring of displacement, revealing direct correlations between DInSAR displacement and critical factors like aquitard layer compaction. These findings contribute valuable insights into the dynamic interactions shaping overexploited aquifers. The research topic 2, developing parallelly to topic 1, consists of the “Validation of DInSAR data applied to land subsidence areas”. Addressing the imperative for validation methodologies in subsidence assessments, a systematic approach introduces statistical analyses and classification schemes. This methodology is designed to validate and refine DInSAR data, enhancing the reliability of subsidence assessments. By normalizing Root Mean Square Error (RMSE) parameters with the range and average of in-situ deformation values and employing the squared Pearson correlation coefficient (R²), a classification scheme is established. This scheme facilitates the acceptance/rejection of DInSAR data for further analyses through the application of automatic analysis supported by a Matlab © code, ensuring a more accurate representation of land subsidence phenomena. The research topic 3 covers the exploitation of DInSAR data for assessing flooding potential and determining characteristic parameters of aquifer systems. The first one is “Impact of land subsidence on flood patterns”. The study in the Alto Guadalentín Valley, a region experiencing extreme flash floods jointly with high-magnitude land subsidence, integrates flood event models, Differential interferometric SAR (DInSAR) techniques, and 2D hydraulic flow models. Through Synthetic Aperture Radar (SAR) satellite images and DInSAR, land subsidence's magnitude and spatial distribution are quantified. The results demonstrate significant changes in water surface elevation between the two 1992 and 2016 temporal scenarios, leading to a 2.04 km² increase in areas with water depths exceeding 0.7 m. These outcomes, incorporated into a flood risk map and economic flood risk assessment, underscore the pivotal role of land subsidence in determining inundation risk and its socio-economical implications. The research offers a valuable framework for enhancing flood modelling by considering the intricate dynamics of land subsidence. The second application of DInSAR data is about the “Automatic calculation of skeletal storage coefficients in aquifer systems”. In response to the need for automating data analysis for specific storage coefficients in aquifer systems, a MATLAB© application is introduced. This application streamlines the correlation between piezometric levels and ground deformation, significantly reducing analysis time and mitigating potential human interpretation errors. The developed application integrates temporal groundwater level series from observation wells and ground deformation data measured by in-situ or remote sensing techniques (e.g., DInSAR). Through the automatic construction of stress-strain curves, the application contributes to the estimation of skeletal storage coefficients, offering a valuable tool for evaluating aquifer system behaviours. This comprehensive research, guided by the complexities of these three distinct research topics, yields detailed insights and methodological advancements. By integrating diverse datasets and employing advanced techniques, this dissertation offers a multidimensional understanding of land subsidence dynamics and provides a robust foundation for sustainable groundwater management globally. / This research is funded by the PRIMA Programme supported by the European Union (Grant agreement 1924), project RESERVOIR.

The desire for energy and resource savings brings magnesium alloys as lightweight materials with high specific strength more and more into the focus. Most structural components are subjected to cyclic loading. In the course of computer aided product development, a numerical prediction of the fatigue life under these conditions must be provided. For this reason, the mechanical properties of the considered material must be examined in detail. Wrought magnesium semifinished products, e.g. magnesium sheet metals, typically reveal strong basal textures and thus, the mechanical behavior considerably differs from that of the well-established magnesium die castings. Magnesium sheet metals reveal a distinct difference in the tensile and compressive yield stress, leading to non-symmetric sigmoidal hysteresis loops within the elasto-plastic load range. These unusual hysteresis shapes are caused by cyclic twinning and detwinning. Furthermore, wrought magnesium alloys reveal pseudoelastic behavior, leading to nonlinear unloading curves. Another interesting effect is the formation of local twin bands during compressive loading. Nevertheless, only little information can be found on the numerical fatigue analysis of wrought magnesium alloys up to now. The aim of this thesis is the investigation of the mechanical properties of wrought magnesium alloys and the development of an appropriate fatigue model. For this purpose, twin roll cast AM50 as well as AZ31B sheet metals and extruded ME21 sheet metals were used. Mechanical tests were carried out to present a comprehensive overview of the quasi-static and cyclic material behavior. The microstructure was captured on sheet metals before and after loading to evaluate the correlation between the microstructure, the texture, and the mechanical properties. Stress- and strain-controlled loading ratios and strain-controlled experiments with variable amplitudes were performed. Tests were carried out along and transverse to the manufacturing direction to consider the influence of the anisotropy. Special focus was given to sigmoidal hysteresis loops and their influence on the fatigue life. A detailed numerical description of hysteresis loops is necessary for numerical fatigue analyses. For this, a one-dimensional phenomenological model was developed for elasto-plastic strain-controlled constant and variable amplitude loading. This model consists of a three-component equation, which considers elastic, plastic, and pseudoelastic strain components. Considering different magnesium alloys, good correlation is reached between numerically and experimentally determined hysteresis loops by means of different constant and variable amplitude load-time functions. For a numerical fatigue life analysis, an energy based fatigue parameter has been developed. It is denoted by “combined strain energy density per cycle” and consists of a summation of the plastic strain energy density per cycle and the 25 % weighted tensile elastic strain energy density per cycle. The weighting represents the material specific mean stress sensitivity. Applying the energy based fatigue parameter on modeled hysteresis loops, the fatigue life is predicted adequately for constant and variable amplitude loading including mean strain and mean stress effects. The combined strain energy density per cycle achieves significantly better results in comparison to conventional fatigue models such as the Smith-Watson-Topper model. The developed phenomenological model in combination with the combined strain energy density per cycle is able to carry out numerical fatigue life analyses on magnesium sheet metals.

This thesis deals with problems of biomechanics of soft tissues, namely of stress-strain analysis of abdominal aortic aneurysm (AAA). The introduction describes briefly the possibility of aneurysm occurrence with a focus on an aneurysm in the abdominal aorta.

This work deals with issue of human wrist and appropriate total wrist implant allowing a restoration of hand mobility approaching physiological condition after traumatic and degenerative diseases. Treating these diseases are very complex. These issues including a biological and medical issues. To determine the appropriate treatment method and select right total wrist implant is important to know the behavior the human wrist at all stages in terms of medical and biomechanical. For this reason, it was developed a biomechanical study including computation model of human wrist allowing solution of strain and stress of hand in physiological and pathological conditions and condition after total wrist implant. The frost remodeling of bone tissue was used for analysis of human wrist bone tissues and bone tissues after application of total wrist implant RE-MOTION™ Total Wrist.