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Eingeladener Vortrag
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Experimental and analytical investigation of the TMF-HCF lifetime behavior of two cast iron alloys
(2017)
The combined loading Thermomechanical Fatigue (TMF) with High Cycle Fatigue (HCF) has been experimentally investigated for two cast iron alloys. Both alloys contain globular graphite nodules but the first one has a ferritic structure while the second one has an austenitic crystal structure. In particular, the influences of the HCF frequency, of the HCF loading amplitude and of the location of the superposed HCF cycles have been investigated. It was observed that the HCF frequency has a limited impact on the fatigue life. On the other side, the HCF-strain amplitude has a highly non-linear influence on the fatigue life. The experimental results can be understood in terms of a fracture mechanics based damage mechanism: Cracks quickly initiate due to the TMF loading and the growth of the cracks up to a few mm controls the fatigue life. If HCF-loading cycles are superposed, cyclic crack propagation dramatically accelerates after a threshold has been reached. This threshold is regarded as controlling the fatigue life reduction. The previous ideas have been expressed in a model that can be very simply applied to estimate the fatigue life reduction ratio due to the superposed HCF cycles. It only contains two adjustable parameters and can be combined with any TMF life assessment model.
Die Analyse der Lebensdauer von Bauteilen unter thermomechanischer Ermüdung (TMF) erfordert ein geeignetes Stoffgesetz, welches in der Lage ist, zyklische Plastizität die Abhängigkeit der Spannungsantwort nach der Dehnrate, Kriechen und Spannungsrelaxation temperaturabhängig zu beschreiben und ein Lebensdauermodell, welches in Abhängigkeit von der örtlich aufgelösten Spannungs- und Verformungsgeschichten eine Schätzung der Anzahl der Zyklen bis zum Anriss liefern kann.
Die thermomechanische Ermüdung (TMF) von Bauteilen kann heutzutage mit der Finite-Elemente (FE) Methode simuliert werden. Dafür werden komplexe viskoplastische Stoffgesetze benötigt, welche in der Regel in kommerziellen FE Programme nicht zur Verfügung stehen. Im Vortrag wird gezeigt wie solche Stoffgesetze mit Hilfe von benutzerdefinierten Subroutinen in kommerzielle Finite-Elemente Programme implementiert werden können. Es wird auf die Vor- und Nachteile einer expliziten oder impliziten Integration der Entwicklungsgleichungen für die inneren Variablen hingewiesen. Schließlich wird ein Postprozessingstool beschrieben, mit dem die Überlagerung einer niederfrequenten (TMF) und einer hochfrequenten (HCF) Belastung im Bauteil analysiert werden können.
The technological importance, the regularity of the microstructure and the complexity of the mechanical behavior of single crystal superalloys have motivated the development of a large number of mathematical models of the mechanical behavior of these alloys in the last two decades. While crystal viscoplasticity has proven to be an efficient framework to account for their anisotropy, several issues are still challenging. Indeed, most models consider that octahedral and cubic slip systems contribute to the largest part of the plastic deformation. However, the exact nature of cubic slip is still controversial and the precipitates can be sheared by <112> slip systems at intermediate temperatures, which largely influence the dependence of the flow rate on the orientation under creep conditions. Due to the different strengths of the matrix and the precipitates and the large volume fraction of the precipitate phase, a complex distribution of internal stresses exists, which can difficultly be captured by the conventional back stress models of plasticity. In addition, at high temperature, the microstructure degrades and the residual mechanical strength is reduced. The driving force for this microstructure degradation is intimately connected to the distribution of the internal stresses. As a result of this complexity, a large number of tests are usually required to fully characterize the mechanical behavior of single crystal superalloys. This in turn largely impedes the implementation of inelastic modeling in the industrial praxis.
The lecture summarizes the principal types of constitutive models for single crystal superalloys and reviews some recent advances in this area. In particular, it is shown how simulations at the microstructure scale level combined with conventional testing and microscopic analysis helped to improve our understanding of the mechanical behavior of single crystal superalloys. Directional coarsening, the importance of internal stresses, orientation dependency and the corresponding modeling issues are discussed. Also open questions are highlighted.
Components in the Aerospace, Power and Automotive engineering sectors are frequently subjected to cyclic stresses induced by thermal fluctuations and mechanical loads. For the design of such components, reliable material property data are required which need to be acquired using well accepted and reproducible test procedures for thermo-mechanical fatigue (TMF) loading. There is limited availability of proven TMF data indicating there is need for further research and testing. The TMF behaviour of materials is often desired to be simulated in models which describe the cyclic stress-strain behaviour, the fatigue life and the cyclic crack growth behaviour. There is a continuous need for the development and amendment of such models. Models can be validated by using materials in industrial applications which are subjected to TMF loading.
The 3rd Workshop on Thermo-Mechanical Fatigue was held on 27–29 April 2016 at BAM, Berlin, Germany. The workshop was attended by 90 attendees coming from 17 countries in the world. 38 presentations including five poster presentations were held.
The following topics were covered by the workshop:
– TMF of materials coated with Thermal Barrier Coatings.
– Thermal Gradient Mechanical Fatigue.
– TMF crack growth.
– TMF + High Cycle Fatigue.
– TMF Modelling and Lifetime Prediction.
– TMF Properties of steels, cast iron, Al-, Mg- and Ni-alloys
– Advanced TMF Testing Techniques.
– Industrial Applications.
A panel discussion was held regarding the present state of TMF testing standards (ISO and ASTM) and their potential for improvement. The discussion and contributions were summarized and forwarded to the standard committees. The 3rd TMF-Workshop ensured the continuation of international exchange of knowledge providing a forum to present and discuss all recent developments in the field of thermo-mechanical fatigue.
The current special issue publishes eleven selected papers of the 3rd TMF-Workshop 2016. The papers were peer reviewed by a number of experts in the Thermo-Mechanical Fatigue sector. I hope you will enjoy reading papers of this special issue.
Gas turbines are widely used for a variety of purposes including power generation, compression or as jet engines in aircrafts. The critical components of a gas turbine are the high-pressure turbine blades which operate under severe conditions. These include thermo-mechanical loadings over temperatures ranging from room temperature up to 1100°C.
While a large number of constitutive models for single crystals have been proposed, most applications are restricted to special loading scenarios, temperature range and deformation mechanisms. In particular, a number of models are focused on pure creep. Only a few papers consider application of both creep and fatigue. Applications of the constitutive models to long-term stress relaxation are even scarcer. The new model assumes deformation-induced softening and can properly reproduce the viscous behavior at different time scales.
The model has been calibrated with the uniaxial tests at 800°C and 950°C in [001], [011] and [111] specimens of a nickel-basis superalloy. The predicted creep, short- and long-term relaxation and cyclic tests are in reasonable agreement with the experimental observations.
Gas turbines are widely used for a variety of purposes including power generation, compression or as jet engines in aircrafts. The critical components of a gas turbine are the high-pressure turbine blades which operate under severe conditions. These include thermo-mechanical loadings over temperatures ranging from room temperature up to 1100°C.
While a large number of constitutive models for single crystals have been proposed, most applications are restricted to special loading scenarios, temperature range and deformation mechanisms. In particular, a number of models are focused on pure creep. Only a few papers consider application of both creep and fatigue. Applications of the constitutive models to long-term stress relaxation are even scarcer. The new model assumes deformation-induced softening and can properly reproduce the viscous behavior at different time scales.
The model has been calibrated with the uniaxial tests at 800°C and 950°C in [001], [011] and [111] specimens of a nickel-basis superalloy. The predicted creep, short- and long-term relaxation and cyclic tests are in reasonable agreement with the experimental observations.