The horizontal twin-roll casting (TRC) process is an energy saving and cost-efficient method for producing near-net-shape sheets of castable metals for light-weight production. In order to investigate the TRC process numerically, a code is generated in OpenFOAM and the commercial software STAR-CCM+ is used. Both are validated with the Stefan problem, the gallium melting test case, and a continuous casting experiment for magnesium AZ31. Different solidification models are tested that are similar to solution domain definitions and solid-fraction temperature relations. The comparison with temperature measurements of the MgF GmbH Freiberg pilot plant and the final microstructure exhibits good correlation. Sensitivity studies are carried out for thermophysical properties of AZ31 as well as pilot plant parameters. Furthermore, the rolls are incorporated into the simulation to determine the effect of a location-dependent heat-transfer coefficient. Finally, the results are compared to a second pilot plant situated at the Helmholtz-Centre Geesthacht in order to explore differences and similarities. / Das horizontales Gießwalzen ist eine energiesparende und kostengünstige Methode zur Erzeugung von Flachprodukten, die im Leichtbau verwendet werden. Um dieses Verfahren numerisch zu untersuchen wurde ein Programmcode in OpenFOAM entwickelt und die kommerzielle Software STAR-CCM+ verwendet, wobei beide mit dem Stefan Problem, dem Schmelzen von Gallium und Messdaten des Stranggusses von Magnesium AZ31 validiert wurden. Verschiedene Erstarrungsmodelle werden ebenso getestet wie Variationen des Simulationsbereiches und Feststoff-Temperatur-Verläufe. Vergleiche mit Temperaturmessdaten der Pilotanlage MgF GmbH Freiberg und der finalen Mikrostruktur zeigen gute Übereinstimmungen. Sensitivitätsanalysen werden durchgeführt, um die Einflüsse von thermophysikalischen Eigenschaften und Anlagenparametern abzuschätzen. Des Weiteren werden die Walzen in die Simulation mit einbezogen, um den Effekt eines lokal veränderlichen Wärmeübergangskoeffizienten zu beurteilen. Schließlich werden die Ergebnisse mit denen einer zweiten Pilotanlage am Helmholtz-Zentrum Geesthacht verglichen. / Le laminage de coulée continue horizontal possède une faible consommation d’énergie et est bon marché pour la production des feuilles de métaux coulables utilisés dans la construction légère. Afin d’examiner ce processus numériquement, un code est généré dans OpenFOAM et le logiciel commercial STAR-CCM+ est utilisé, tous les deux sont validés en utilisant le problème de Stefan, la fusion du gallium et la coulée continue verticale de magnésium AZ31. Plusieurs modèles de solidification sont testés, ainsi que la variation du domaine de simulation, et des rélations entre la teneur en matière solide et la température. Des comparaisons avec des résultats de mesures de la température à l’installation pilote de MgF GmbH Freiberg ainsi que la microstructure donnent des bons résultats. Des analyses de sensibilité sont effectuées afin d’évaluer l’influence des propriétés thermophysiques et des paramètres de l’installation. De plus, les cylindres sont intégrés dans la simulation pour estimer l’impact du coefficient de transfert de chaleur dépendant du lieu. Finalement, les résultats sont comparés avec ceux du Helmholtz-Centre Geesthacht.

The horizontal twin-roll casting (TRC) process is an energy saving and cost-efficient method for producing near-net-shape sheets of castable metals for light-weight production. In order to investigate the TRC process numerically, a code is generated in OpenFOAM and the commercial software STAR-CCM+ is used. Both are validated with the Stefan problem, the gallium melting test case, and a continuous casting experiment for magnesium AZ31. Different solidification models are tested that are similar to solution domain definitions and solid-fraction temperature relations. The comparison with temperature measurements of the MgF GmbH Freiberg pilot plant and the final microstructure exhibits good correlation. Sensitivity studies are carried out for thermophysical properties of AZ31 as well as pilot plant parameters. Furthermore, the rolls are incorporated into the simulation to determine the effect of a location-dependent heat-transfer coefficient. Finally, the results are compared to a second pilot plant situated at the Helmholtz-Centre Geesthacht in order to explore differences and similarities. / Das horizontales Gießwalzen ist eine energiesparende und kostengünstige Methode zur Erzeugung von Flachprodukten, die im Leichtbau verwendet werden. Um dieses Verfahren numerisch zu untersuchen wurde ein Programmcode in OpenFOAM entwickelt und die kommerzielle Software STAR-CCM+ verwendet, wobei beide mit dem Stefan Problem, dem Schmelzen von Gallium und Messdaten des Stranggusses von Magnesium AZ31 validiert wurden. Verschiedene Erstarrungsmodelle werden ebenso getestet wie Variationen des Simulationsbereiches und Feststoff-Temperatur-Verläufe. Vergleiche mit Temperaturmessdaten der Pilotanlage MgF GmbH Freiberg und der finalen Mikrostruktur zeigen gute Übereinstimmungen. Sensitivitätsanalysen werden durchgeführt, um die Einflüsse von thermophysikalischen Eigenschaften und Anlagenparametern abzuschätzen. Des Weiteren werden die Walzen in die Simulation mit einbezogen, um den Effekt eines lokal veränderlichen Wärmeübergangskoeffizienten zu beurteilen. Schließlich werden die Ergebnisse mit denen einer zweiten Pilotanlage am Helmholtz-Zentrum Geesthacht verglichen. / Le laminage de coulée continue horizontal possède une faible consommation d’énergie et est bon marché pour la production des feuilles de métaux coulables utilisés dans la construction légère. Afin d’examiner ce processus numériquement, un code est généré dans OpenFOAM et le logiciel commercial STAR-CCM+ est utilisé, tous les deux sont validés en utilisant le problème de Stefan, la fusion du gallium et la coulée continue verticale de magnésium AZ31. Plusieurs modèles de solidification sont testés, ainsi que la variation du domaine de simulation, et des rélations entre la teneur en matière solide et la température. Des comparaisons avec des résultats de mesures de la température à l’installation pilote de MgF GmbH Freiberg ainsi que la microstructure donnent des bons résultats. Des analyses de sensibilité sont effectuées afin d’évaluer l’influence des propriétés thermophysiques et des paramètres de l’installation. De plus, les cylindres sont intégrés dans la simulation pour estimer l’impact du coefficient de transfert de chaleur dépendant du lieu. Finalement, les résultats sont comparés avec ceux du Helmholtz-Centre Geesthacht.

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.