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Zur Perzentilberechnung
(1990)
Die vorliegende Arbeit beschäftigt sich mit der numerischen Behandlung Differential-Algebraischer Gleichungen (DAE" s). DAE" s treten beispielsweise bei der Modellierung der Dynamik mechanischer System, der Schaltkreissimulation sowie der chemischen Reaktionskinetik auf. Es werden Rosenbrock-Wanner ähnliche Verfahren zu deren Lösung hergeleitet und an technischen Modellen (Fahrzeugachse und Verstärker) getestet.
The numerical solution of implicit ordinary differential equations arising in vehicle dynamic
(1988)
In this doctoral thesis the curing process of visible light-curing (VLC) dental composites and 3D printing rapid prototyping (RP) materials are investigated with the focus on dielectric analysis (DEA). This method is able to monitor the curing of resins in an alternating electric fringe field with adjustable frequencies and is often used for cure control of composites manufacturing in the aviation and automotive industry but hardly established in dental science or RP method development. It is capable of investigating very fast initiation and primary curing processes using high frequencies in the kHz-range. The aim of the Thesis is a better understanding of the curing processes with respect to curing parameters such as resin composition, viscosity, temperature, and for light-curing composites also light intensity and irradiation depth. Due to the nature of both dental and RP systems an application of specific experimental set-up had to be designed allowing for the generation of reproducible and valid results. Subsequently, different evaluation methods were developed to characterize the curing behavior of both material types. A special focus was paid to the determination of kinetic parameters from DEA measurements. Reaction rates of the curing of the corresponding thermosets were calculated and applied to the ion viscosity curves measured by DEA to evaluate reaction kinetic parameters. For the dental composites it could be clearly shown that the initial curing rate is directly proportional to light intensity and not to its square root as proposed by many others authors. A good description of the curing behaviour of 3DP RP materials was also achieved assuming a reaction order smaller than one. This data provides the base for the kinetic modeling of polymerization and curing processes proposed within the Thesis.