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The embedding of microwave devices is treated by applying the finite-difference method to three-dimensional shielded structures. A program package was developed to evaluate electromagnetic fields inside arbitrary transmission-line connecting structures and to compute the scattering matrix. The air bridge, the transition through a wall, and the bond wire are examined as interconnecting structures. Detailed results are given and discussed regarding the fundamental behavior of embedding.
Structures for interconnecting active microwave semiconductor-devices, e.g. FET's and MIC's, with the electrical surrounding or with each other have to be designed more and more carefully when increasing the desired upper frequency limit. Therefore, several connecting structures for device embedding have been examined. Mainly, their applicability for the frequency range from 10 GHz to 100 GHz was considered. Additionally, different equivalent circuits were developed to approximately describe their behaviour for CAD-applications.
Viele hochbeanspruchte Bauteile müssen zur Erfüllung ihres konstruktiven Zwecks mit Durchdringungskerben versehen werden. Infolge der gegenseitigen Wechselwirkung gelten für die Kerbwirkung dieser Art von Mehrfachkerben andere Gesetzmäßigkeiten als bei Einzelkerben. Die Weiterentwicklung der Lehre von der Tragfähigkeitsberechnung höchstbeanspruchter Maschinenelemente macht es notwendig, sich mit der Durchdringungskerbwirkung eingehend zu befassen. Thum und Svenson [1] entwickelten im Jahr 1949 ein Näherungsverfahren zur Abschätzung der Formzahl an einem zugbelasteten Stab mit Durchdringungskerben. In vielen Lehrbüchern findet dieses Verfahren Anwendung. Aus heutiger Sicht erscheint die Eignung der aus diesem Ansatz erzielten Ergebnisse als dringend überprüfungswürdig. Das thum’sche Verfahren wird unter die Lupe genommen. Der hier vorliegende Beitrag präsentiert mit Hilfe der Finiten-Elemente-Methode (FEM) neue Untersuchungsergebnisse an zugbeanspruchten Stäben mit Halbkreisnut und überlagerter Querbohrung. Diese ergaben, dass die Berechnung nach [1] Lücken aufweist. Ihr Ansatz stellt für den heutigen Entwicklungsstand eine mit zu großen Abweichungen behaftete Näherungshypothese dar.
Der vorliegende Beitrag beschreibt erste Untersuchungsergebnisse an Wellenabsätzen mit im Kerbgrund überlagerter Schrägbohrung, mit Hilfe der Finite-Elemente-Methode (FEM). Als Beispiel hierfür können Walzen mit Heizkanälen in Walzwerken, Turbinen- und Kurbelwellen genannt werden. Es ist nicht bekannt, welche Spannungserhöhung die Schrägbohrung im Wellenabsatz hervorruft. In den Normen oder Richtlinien sind keine Angaben über Formzahlen für diese Kerbkombination vorhanden. Deshalb werden die Formzahlen für unterschiedliche schräggebohrte Wellenabsätze je Belastungsart ermittelt, ausgewertet und entsprechende Formzahldiagramme und Gestaltungshinweise angegeben.
Der hier vorliegende Beitrag beschreibt erste Untersuchungsergebnisse mit der Finite-Elemente-Methode (FEM) zur Entlastung der Kerbspannungen an Getriebewellen mit Durchdringungskerben. Es handelt sich bei den Kerben um eine Umlaufnut mit überlagerter Querbohrung und um einen Wellenabsatz mit überlagerter Querbohrung. Die neu entwickelte Entlastungskerbe erweitert die üblichen Möglichkeiten zur Entlastung von Durchdringungskerben und ermöglicht bedeutende Spannungsreduktionen bis etwa 48% bei Biegung oder Zug/Druck. Die Entlastung bei Torsionsbelastung beträgt maximal etwa 18%. Es wurden Spannungsdiagramme der variierten Entlastungsnutparameter erstellt und Formeln zur näherungsweisen Berechnung der zu erwartenden Spannungen in der Durchdringungskerbe und in der Entlastungsnut ermittelt, zudem werden Empfehlungen zur Gestaltung der Entlastungskerbe gegeben. Dieser Beitrag bietet eine Grundlage zur weiteren Untersuchung zum Thema „räumliche Durchdringungskerben“ und deren Entlastung.
Die vorliegende Arbeit beschäftigt sich mit dem Ermüdungs- und Schädigungsverhalten der in Verbrennungsmotoren eingesetzten Aluminiumgusslegierungen AlSi7Cu0,5Mg-T7 und AlSi12Cu3Ni2Mg-T7. Im Vergleich zur niederzyklischen sowie thermomechanischen Ermüdungsbeanspruchung führt die zusätzliche Überlagerung hochzyklischer Belastungen zu einer signifikanten Lebensdauerreduktion, die mit der Replika-Technik beobachteten Beschleunigung des Kurzrisswachstums erklärt werden kann. Frakto- und metallographische Untersuchungen zeigen, dass Rissinitiierung und Lebensdauerverhalten durch Gussdefekte sowie von belastungs- und temperaturabhängigen Schädigungsmechanismen bestimmt werden. Die Lebensdauern werden mit einem mechanismenbasierten Risswachstumsmodell vorhergesagt. Dazu wird der Schädigungsparameter DTMF,brittle entwickelt, der die charakteristischen Schädigungsmechanismen berücksichtigt. Die Legierung AlSi12Cu3Ni2Mg-T7 wird abschließend mit der Finite-Elemente-Methode und mikrostrukturbasierten Zellmodellen untersucht. Mit den Simulationsergebnissen können die experimentell beobachteten Schädigungsmechanismen fundiert gestützt werden.
Hot working tools are subjected to complex thermal and mechanical loads during service. Locally, the stresses can exceed the material’s yield strength in highly loaded areas. During production, this causes cyclic plastic deformation and thus thermomechanical fatigue, which can significantly shorten the lifetime of hot working tools. To sustain this high loads, the hot working tools are typically made of tempered martensitic hot work tool steels. While the annealing temperatures of the tool steels usually lie in the range of 400 to 600 °C, the steels may experience even higher temperatures during hot working, resulting in softening of the material due to changes in microstructure. Therefore, the temperature-dependent cyclic mechanical properties of the frequently used hot work tool steel 1.2367 (X38CrMoV5-3) after tempering are investigated in this work. To this end, hardness measurements are performed. Furthermore, the Institute of Forming Technology and Machines (IFUM) provides test results from cyclic tests at temperatures ranging from 20 °C (room temperature) to 650 °C. To describe the observed time- and temperature-dependent softening during tempering, a kinetic model for the evolution of the mean size of secondary carbides based on Ostwald ripening is developed. In addition, both mechanism-based and phenomenological relationships for the cyclic mechanical properties of the Ramberg- Osgood model depending on carbide size and temperature are proposed. The stress-strain hysteresis loops measured at different temperatures and after different heat treatments can be well described with the proposed kinetic and mechanical model. Furthermore, the model is suitable for integration in advanced mechanism-based lifetime models. However, since the Ramberg-Osgood model is not suitable for finite element implementation, a temperature-dependent incremental cyclic plasticity model is presented as well. Thus, softening due to particle coarsening can be applied in the finite element method (FEM). Therefore, a kinetic model is coupled with a cyclic plasticity model including kinematic hardening. The plasticity model is implemented via subroutines in the finite element program ABAQUS for implicit integration (subroutine called UMAT) and explicit integration (subroutine called VUMAT). The implemented model is used for the simulation of an exemplary hot working process to assess the effects of softening due to particle coarsening. It shows that the thermal softening at high temperatures, which occur over a long time at a mechanically highly loaded area, has a great influence. If this influence is not considered in tool design, an unexpected tool failure might occur bringing the production to a standstill.
Experimental and numerical investigations into the forming of tailored strips and tailored tubes
(2008)
Through the application of tailored strips and tailored tubes, the wall thickness of components can be manufactured in a load-optimised manner. Thus, it is also possible to optimise component weight. Prior to the application of tailored products, wall thicknesses and the respective degree of deformation as well as the welding seam position can be determined in a FEM (finite element method) simulation. These results are then verified in test series on transfer presses and tube bending machines, with the necessary tool adaptations being determined in the process. This results in weight and cost reductions for deep-drawn components and tube sections. Moreover, this means that especially with regard to tubes, multiple sections can be combined in one component. A feasibility study shows that the level of possible weight and cost savings depends on the respective component geometry and load situation. Additional costs for the production of tailored products and - if necessary - tool modifications also need to be considered. Thus, the amount of savings possible for a part can only be determined on an individual basis.
In a recent paper it has been shown that the effective nonlinear constant which is used in a P-Matrix approach to describe third-order intermodulation (IMD3) in surface acoustic wave (SAW) devices can be obtained from finite element (FEM) calculations of a periodic cell using nonlinear tensor data [1]. In this paper we extend this FEM calculation and show that the IMD3 of an infinite periodic array of electrodes on a piezoelectric substrate can be directly simulated in the sagittal plane. This direct approach opens the way for a FEM based simulation of nonlinearities for finite and generalized structures avoiding the simplifications of phenomenological approaches.
In this paper, an unconditionally stable algorithm for the numerical integration and finite-element implementation of a class of pressure dependent plasticity models with nonlinear isotropic and kinematic hardening is presented. Existing algorithms are improved in the sense that the number of equations to be solved iteratively is significantly reduced. This is achieved by exploitation of the structure of Armstrong-Frederik-type kinematic hardening laws. The consistent material tangent is derived analytically and compared to the numerically computed tangent in order to validate the implementation. The performance of the new algorithm is compared to an existing one that does not consider the possibility of reducing the number of unknowns to be iterated. The algorithm is used to implement a time and temperature dependent cast iron plasticity model, which is based on the pressure dependent Gurson model, in the finite-element program ABAQUS. The implementation is applied to compute stresses and strains in a large-scale finite-element model of a three cylinder engine block. This computation proofs the applicability of the algorithm in industrial practice that is of interest in applied sciences.
In this paper, the multiaxial formulation of a mechanism-based model for fatigue life prediction is presented whichcan be applied to low-cycle fatigue (LCF) and thermomechanical fatigue (TMF) problems in which high-cycle fa-tigue loadings are superimposed. The model assumes that crack growth is the lifetime limiting mechanism and thatthe crack advance in a loading cycleda/dNcorrelates with the cyclic crack-tip opening displacement ΔCTOD.The multiaxial formulation makes use of fracture mechanics solutions and thus, does not need additional modelparameters quantifying the effect of the multiaxiality. Furthermore, the model includes contributions of HCF on ΔCTODand assesses the effect of the direction of the HCF loadings with respect to LCF or TMF loadings inthe life prediction. The model is implemented into the finite-element program ABAQUS. It is applied to predictthe fatigue life of a thermomechanically loaded notched specimen that should represent the situation between theinlet and outlet bore holes of cylinder heads. A good correlation of the predicted and the measured fatigue lives isobtained.
In this paper, the correlation of the cyclic J-integral, ΔJ, and the cyclic crack-tip opening displacement, ΔCTOD, is studied in the presence of crack closure to assess the question if ΔJ describes the crack-tip opening displacement in this case. To this end, a method is developed to evaluate ΔJ numerically within finite-element calculations. The method is validated for an elastic–plastic material that exhibits Masing behavior. Different strain ranges and strain ratios are considered under fully plastic cyclic conditions including crack closure. It is shown that the cyclic J-integral is the parameter to determine the cyclic crack-tip opening displacement even in cases where crack closure is present.
Um eine gleichbleibende Mahrspalthoehe und gleichmaessige Lastverteilung waehrend des Betriebes zu erreichen, werden Mahlwalzen bombiert hergestellt. Das theoretische Bombierungsprofil wird aus der elastischen Walzenverformung bei gegebener Belastung abgeleitet. Die Verformung kann mit Finiten Elementen berechnet werden. Werden zwei Walzen mit zylindrischer Oberflaeche gegeneinander gedrueckt, so ergibt sich ein nichtlinearer Kontakt. Die Druckverteilung laengs der Walze laesst sich unter Hinzunahme von Einflusszahlen mit Hilfe eines linearen Gleichungssystems ermitteln. Die Autoren untersuchen mit diesem Berechnungsverfahren die Wirkungen unterschiedlicher Bombierungen und den Einfluss von veraenderter Anpresskraft. (Rohlf)
In this entry, the 3D CAD reconstructions and 3D multi-material polymer replica printings of knight Götz von Berlichingen´s first „Iron Hand,“ which were developed in the last few years at Offenburg University, are presented. Even by today's standards, the first “Iron Hand”–as could be shown in the replicas–demonstrates sophisticated mechanics and well thought-out functionality and still offers inspiration and food for discussion when it comes to the question of an artificial prosthetic replacement for a hand.
The aim of this study was to develop a biomechanically validated finite element model to predict the biomechanical behaviour of the human lumbar spine in compression.
For validation of the finite element model, an in vitro study was performed: Twelve human lumbar cadaveric spinal segments (six segments L2/3 and six segments L4/5) were loaded in axial compression using 600 N in the intact state and following surgical treatment using two different internal stabilisation devices. Range of motion was measured and used to calculate stiffness.
A finite element model of a human spinal segment L3/4 was loaded with the same force in intact and surgically altered state, corresponding to the situation of biomechanical in vitro study.
The results of the cadaver biomechanical and finite element analysis were compared. As they were close together, the finite element model was used to predict: (1) load-sharing within human lumbar spine in compression, (2) load-sharing within osteoporotic human lumbar spine in compression and (3) the stabilising potential of the different spinal implants with respect to bone mineral density.
A finite element model as described here may be used to predict the biomechanical behaviour of the spine. Moreover, the influence of different spinal stabilisation systems may be predicted.