Browsing by Author "Frank, Martin"
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- ItemGlass development and controlled crystallization in the SiO₂ - Li₂O - ZrO₂ - P₂O₅ System(Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1996) Höland, Wolfram; Frank, Martin; Schweiger, Marcel; Wegner, Susanne; Rheinberger, VolkerThe objective of this investigation was to analyze glass formation and crystaUization in t h e SiO₂ - Li₂O- ZrO₂ - P₂O₅ System for the development of high-strength glass-ceramics produced with glass powder. In the course of this study, it was found that the base glass or the semicrystalline glass-ceramic could be pressed to form glass-ceramic final products. The analysis of glass formation demonstrated that in a relatively large composition range, up to almost 30 wt%, ZrO₂ could be incorporated into the base glass and increased the glass forming tendency. Other additives were also tested. The presence of ZrO₂ crystals, ZrSiO₄ crystals and lithium phosphate crystals as well as other secondary phases in t he microstructure following heat treatment at approximately 1000 °C was estabhshed in SEM and XRD examinations. This glass-ceramic possesses fiexural strengths of 280 MPa. Translucency was observed in 0.5 mm thick layers. Growth rates of the main crystal phases were determined with cast monolithic samples in a semiquantitative kinetic evaluation of phase development. In contrast to the kinetics of mica crystal growth processes in machinable glass-ceramics, no time lags were observed.
- ItemMini-Workshop: Innovative Trends in the Numerical Analysis and Simulation of Kinetic Equations(Zürich : EMS Publ. House, 2018) Frank, Martin; Hu, Jingwei; Pareschi, LorenzoIn multiscale modeling hierarchy, kinetic theory plays a vital role in connecting microscopic Newtonian mechanics and macroscopic continuum mechanics. As computing power grows, numerical simulation of kinetic equations has become possible and undergone rapid development over the past decade. Yet the unique challenges arising in these equations, such as highdimensionality, multiple scales, random inputs, positivity, entropy dissipation, etc., call for new advances of numerical methods. This mini-workshop brought together both senior and junior researchers working on various fastpaced growing numerical aspects of kinetic equations. The topics include, but were not limited to, uncertainty quantification, structure-preserving methods, phase transitions, asymptotic-preserving schemes, and fast methods for kinetic equations.