Kaiserslautern - Fachbereich Maschinenbau und Verfahrenstechnik
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In this thesis viscoelastic material models are established to investigate the nature of continuous calving processes at Antarctic ice shelves. Physics-based descriptions of calving require appropriate fracture criteria to separate icebergs from the remaining ice shelf. Hence, criteria of the stress, the strain, and the self-similarity criterion are considered within finite-element computations. Crucial parameters in the models to determine the position of calving are the accurate knowledge of the geometry, especially the freeboard height, while the material parameters mainly influence the time span between two successive calving events. The extension to nonlinear material models is necessary to properly analyze the internal forces also for large deformations that occur for longer times of the viscous ice flow.
A general framework for the thermodynamics of open systems is developed in the spatial and the material setting. Special emphasis is placed on the balance of mass which is enhanced by additional source and flux terms. Different solution strategies within the finite element technique are derived and compared. A number of numerical examples illustrates the features of the proposed approach.
Simulation of Particle Interaction with Surface Microdefects during Cold Gas-Dynamic Spraying
(2022)
The cold gas-dynamic spray (CGDS) technique is utilized for repairing processes of a
large number of metallic components in mechanical and process engineering, such as bridges or
vehicles. Fine particles impacting on the component surface can be severely deformed and penetrate
into the defects, filling and coating them, resulting in possible protection against corrosion or crack
propagation. This work focuses on the investigation of the impact behavior of cold sprayed particles
with the wall surface having microdefects in the form of cavities. The collision of fine single particles
with the substrate, both made from AISI 1045 steel, was simulated with the finite element method
(FEM) using the Johnson–Cook failure model. The impact phenomena of particles on different
microdefect geometries were obtained and compared with the collision on a smooth surface. The
particle diameter and defect were varied to investigate the influence of the size on the deformation
behaviour. The different impact scenarios result in different temperature and stress distributions in
the contact zone, penetration and deformation behavior during the collision.
This work describes the development of a continuum phase field model that can describe static as well as dynamic wetting scenarios on the nano- and microscale.
The model reaches this goal by a direct integration of an equation of state as well as a direct integration of the dissipative properties of a specific fluid, which are both obtained from molecular simulations. The presented approach leads to good agreement between the predictions of the phase field model and the physical properties of the regarded fluid.
The implementation of the model employs a mixed finite element formulation, a newly developed semi-implicit time integration scheme, as well as the concept of hyper-dual numbers. This ensures a straightforward and robust exchangeability of the constitutive equation for the regarded fluid.
The presented simulations show good agreement between the results of the present phase field model and results from molecular dynamics simulations. Furthermore, the results show that the model enables the investigation of wetting scenarios on the microscale. The continuum phase field model of this work bridges the gap between the molecular models on the nanoscale and the phenomenologically motivated continuum models on the macroscale.
The phase field approach is a powerful tool that can handle even complicated fracture phenomena within an apparently simple framework. Nonetheless, a profound understanding of the model is required in order to be able to interpret the obtained results correctly. Furthermore, in the dynamic case the phase field model needs to be verified in comparison to experimental data and analytical results in order to increase the trust in this new approach. In this thesis, a phase field model for dynamic brittle fracture is investigated with regard to these aspects by analytical and numerical methods
This thesis investigates the electromechanic coupling of dielectric elastomers for the static and dynamic case by numerical simulations. To this end, the fundamental equations of the coupled field problem are introduced and the discretisation procedure for the numerical implementation is described. Furthermore, a three field formulation is proposed and implemented to treat the nearly incompressible behaviour of the elastomer. Because of the reduced electric permittivity of the material, very high electric fields are required for actuation purposes. To improve the electromechanic coupling a heterogeneous microstructure consisting of an elastomer matrix with barium titanate inclusions is proposed and studied.
This thesis is concerned with a phase field model for brittle fracture.
The high potential of phase field modeling in computational fracture mechanics lies in the generality of the approach and the straightforward numerical implementation, combined with a good accuracy of the results in the sense of continuum fracture mechanics.
However, despite the convenient numerical application of phase field fracture models, a detailed understanding of the physical properties is crucial for a correct interpretation of the numerical results. Therefore, the driving mechanisms of crack propagation and nucleation in the proposed phase field fracture model are explored by a thorough numerical and analytical investigation in this work.
Im Hinblick auf die Gewichtsreduktion am Gesamtfahrzeug zur Verbesserung der Fahrdy-namik und zur Reduktion des Kraftstoffverbrauchs wurde ein Vierzylinder-Kurbelgehäuse auf Basis des leichten Konstruktionswerkstoffs Magnesium konzipiert und konstruiert. Unter der Zielvorgabe einer spezifischen Leistung von mindestens 65 kW/l lag der Fokus auf einer zum Serienmotor mindestens gleichwertigen Belastbarkeit und Akustik und auf der Behebung der Kriech- und Korrosionsproblematik von Magnesium. Durch die Kombination verschiedener Leichtbauprinzipien wie Konzept-, Gestalt- und Ver-bundleichtbau, ist es mittels lokalem Werkstoffengineering gelungen, die Nachteile des Mag-nesiums zu kompensieren und seine Vorteile bestmöglich zu nutzen. Das Ergebnis ist ein zur Aluminiumbasis um ca. 6,5kg und zur Graugussbasis um ca. 23kg leichteres Magnesi-um-Hybrid-Zylinderkurbelgehäuse. Die short-skirt Bauweise in Verbindung mit einem zur Ölwanne nahezu komplett geschlossenen Bedplate ergibt ein hochsteifes Kurbelgehäuse mit einer im Vergleich zum Serien-Aluminium-ZKG höheren Belastbarkeit. Das flexible Kurbel-gehäusekonzept ermöglicht es ausserdem, auf Basis des für Magnesium sehr wirtschaftli-chen Druckgussverfahrens, Zylinderkurbelgehäuse sowohl in open-deck als auch in closed-deck-Bauweise herzustellen. Kernstück des neuen Motorblocks ist ein multifunktionaler, 3,8kg leichter Zylindereinsatz aus Aluminium, der die Funktion der Zylinderlaufbahn, der Zylinderkopf- und Hauptlagerver-schraubung sowie der Kühlwasserführung übernimmt. Zur Verbesserung der Verbundeigen-schaften zwischen dem Zylindereinsatz und dem umgebenden Magnesium wurden umfang-reiche Gießversuche und metallographische Untersuchungen durchgeführt. Eine durch Plasmaspritzen aufgebrachte AlSi12-Beschichtung erzielte schließlich die besten Ergebnisse in Bezug auf ertragbare Zug- und Schubbelastungen in der Verbundzone. Zur Absicherung des Herstellungsprozesses wurden mit der Finite Elemente Methode ver-schiedene Abstützvarianten des closed-deck-Zylindereinsatzes für das prozesssichere Ein-gießen im Druckguss untersucht. Die Befüllung des Einsatzes mit Sand erwies sich dabei als die robusteste Lösung und wurde später in den Gießversuchen umgesetzt. Der Festigkeitsnachweis für das Magnesium-Hybrid-Zylinderkurbelgehäuse wurde mit Hilfe der Finite Elemente Methode unter Einbeziehung der Ergebnisse der metallographischen Untersuchungen sowie unter Berücksichtigung nichtlinearer Werkstoffkennwerte und der Kriechproblematik von Magnesium erbracht. Ausgangspunkt für den Festigkeitsnachweis waren Eigenspannungsberechnungen, die das Abkühlen der Gussteile aus der Gießhitze, eine Warmauslagerung und die Bearbeitung der wichtigsten Funktionsflächen beinhaltete. Der Nachweis für die Dauerhaltbarkeit der Lagerstühle des Kurbelgehäuses wurde erbracht. Parameterstudien zeigten dabei einen positiven Einfluss der Eigenspannungen und eine geringe Sensitivität der Konstruktion in Bezug auf Reibungsvariationen zwischen Umguss und Eingussteilen. Kriechdehnungen im Bereich der Hauptlagerverschraubungen führten allerdings bei Verwendung der Standard Magnesiumlegierung AZ91 nach 500 Stunden bei 150°C zu einem Abfall der Schraubenvorspannkräfte um bis zu 75%. Es konnte gezeigt wer-den, dass dieses Problem bei Verwendung von kriechfesteren Legierungen (z.B. MRI 153M) mit ca. 10-20fach besserer Kriechfestigkeit bzw. Relaxationsbeständigkeit behoben werden kann. Der rechnerisch erbrachte Nachweis für die Dauerhaltbarkeit des Zylinderkurbelgehäuses konnte kurz vor Fertigstellung dieser Arbeit in einem Motorversuch (Polyzyklischer Dauer-lauf, 100h) bestätigt werden. Der Motor zeigte nach Ende der Laufzeit keine Auffälligkeiten und konnte weiter betrieben werden.
This thesis treats the application of configurational forces for the evaluation of fracture processes in Antarctic ice shelves. FE simulations are used to analyze the influence of geometric scales, material parameters and boundary conditions on single surface cracks. A break-up event at the Wilkins Ice Shelf that coincided with a major temperature drop motivates the consideration of frost wedging as a mechanism for ice shelf disintegration. An algorithm for the evaluation of the crack propagation direction is used to analyze the horizontal growth of rifts. Using equilibrium considerations for a viscoelastic fluid, a method is introduced to compute viscous volume forces from measured velocity fields as loads for a linear elastic fracture mechanical analysis.
Elastomers and their various composites, and blends are frequently used as engineering working parts subjected to rolling friction movements. This fact already substantiates the importance of a study addressing the rolling tribological properties of elastomers and their compounds. It is worth noting that until now the research and development works on the friction and wear of rubber materials were mostly focused on abrasion and to lesser extent on sliding type of loading. As the tribological knowledge acquired with various counterparts, excluding rubbers, can hardly be adopted for those with rubbers, there is a substantial need to study the latter. Therefore, the present work was aimed at investigating the rolling friction and wear properties of different kinds of elastomers against steel under unlubricated condition. In the research the rolling friction and wear properties of various rubber materials were studied in home-made rolling ball-on-plate test configurations under dry condition. The materials inspected were ethylene/propylene/diene rubber (EPDM) without and with carbon black (EPDM_CB), hydrogenated acrylonitrile/butadiene rubber (HNBR) without and with carbon black/silica/multiwall carbon nanotube (HNBR_CB/silica/MWCNT), rubber-rubber hybrid (HNBR and fluororubber (HNBR-FKM)) and rubber-thermoplastic blend (HNBR and cyclic butylene terephthalate oligomers (HNBR-CBT)). The dominant wear mechanisms were investigated by scanning electron microscopy (SEM), and analyzed as a function of composition and testing conditions. Differential scanning calorimetry (DSC), dynamic-mechanical thermal analysis (DMTA), atomic force microscopy (AFM), and transmission electron microscopy (TEM) along with other auxiliary measurements, were adopted to determine the phase structure and network-related properties of the rubber systems. The changes of the friction and wear as a function of type and amount of the additives were explored. The friction process of selected rubbers was also modelled by making use of the finite element method (FEM). The results show that incorporation of filler enhanced generally the wear resistance, hardness, stiffness (storage modulus), and apparent crosslinking of the related rubbers (EPDM-, HNBR- and HNBR-FKM based ones), but did not affect their glass transition temperature. Filling of rubbers usually reduced the coefficient of friction (COF). However, the tribological parameters strongly depended also on the test set-up and test duration. High wear loss was noticed for systems showing the occurrence of Schallamach-type wavy pattern. The blends HNBR-FKM and HNBR-CBT were two-phase structured. In HNBR-FKM, the FKM was dispersed in form of large microscaled domains in the HNBR matrix. This phase structure did not change by incorporation of MWCNT. It was established that the MWCNT was preferentially embedded in the HNBR matrix. Blending HNBR with FKM reduced the stiffness and degree of apparent crosslinking of the blend, which was traced to the dilution of the cure recipe with FKM. The coefficient of friction increased with increasing FKM opposed to the expectation. On the other hand, the specific wear rate (Ws) changed marginally with increasing content of FKM. In HNBR-CBT hybrids the HNBR was the matrix, irrespective to the rather high CBT content. Both the partly and mostly polymerized CBT ((p)CBT and pCBT, respectively) in the hybrids worked as active filler and thus increased the stiffness and hardness. The COF and Ws decreased with increasing CBT content. The FEM results in respect to COF achieved on systems possessing very different structures and thus properties (EPDM_30CB, HNBR-FKM 100-100 and HNBR-(p)CBT 100-100, respectively) were in accordance with the experimental results. This verifies that FEM can be properly used to consider the complex viscoelastic behaviour of rubber materials under dry rolling condition.