The application of the wrinkle measuring method described in Müller et al. (2017) and the subsequent evaluation algorithm of a range of deep-drawn samples were used to determine the influences and interdependencies of blankholder force, tool temperatures, and drawing height on the formation of wrinkles in paperboard. The main influences were identified and quantitatively evaluated. For the given experimental space, a regression function was derived and validated in further experiments. It was shown that a quadratic regression was superior to the previously used linear regression. The findings were discussed and compared with the results of similar experiments from past publications. Special attention was given to the wrinkles formed and the resulting quality of the formed paperboard cups. The restrictions of the data acquisition from the measuring method that was used and limitations of the model were presented to demonstrate the reliability of the results.

We study physical systems composed of at least two immiscible fluids occu- pying different regions of space, the so-called phases. Flows of such multi-phase fluids are frequently met in industrial applications which rises the need for their numerical simulations. In particular, the research conducted herein is motivated by the need to model the float glass forming process. The systems of interest are in the present contribution mathematically described in the framework of the so-called diffuse interface models. The thesis consists of two parts. In the modelling part, we first derive standard diffuse interface models and their generalized variants based on the concept of multi-component continuous medium and its careful thermodynamic analysis. We provide a critical assessment of assumptions that lead to different models for a given system. Our newly formulated class of generalized models of Cahn-Hilliard-Navier-Stokes-Fourier (CHNSF) type is applicable in a non-isothermal setting. Each model belonging to that class describes a mixture of separable, heat conducting Newtonian fluids that are either compressible or incompressible. The models capture capillary and thermal effects in thin interfacial regions where the fluids actually mix. In the computational part, we focus on the development of an efficient and robust...

<p dir="ltr">This study investigated the effects of single-stage and multi-stage (two, three, or four) mandrel cold-forming processes on stainless steel U-shaped, thin-walled profiles, with a particular focus on their impact on stress. These profiles, commonly used as metal expansion joints (also known as compensators or bellows), are essential components in industries such as aerospace, energy, and piping systems. The need for these joints to absorb thermal expansion and mechanical movement while maintaining structural integrity makes precise forming processes critical. In particular, the investigation examined the effects of incrementally increasing the number of forming stages, from one to four, on profile geometry, with particular emphasis on thickness variation, consistency, and stress distribution. Profile geometry and thickness were assessed using three-dimensional scanning, a coordinate measuring machine, and ultrasonic thickness measuring techniques. While these methods have limitations, they provide valuable insights into the formed profiles. Increasing the number of forming stages up to four reduced thickness variation by up to 5%, producing profiles that were more closely aligned with the theoretical design specifications. Stress, a crucial factor in the long-term performance of metal expansion joints, was also reduced by increasing the number of forming stages by up to 6% with four stages. Further reductions in stress and thickness variation could be achieved with more than four stages, though the improvements became less significant. A formula was developed to determine the minimum number of forming stages (N_min) required for thin-walled U-profiles. Depending on the application, additional stages beyond N_min improved profile accuracy and further reduced stress, offering manufacturers flexibility in meeting performance requirements.</p>