TY - JOUR A1 - Guo, Hongwei A1 - Alajlan, Naif A1 - Zhuang, Xiaoying A1 - Rabczuk, Timon T1 - Physics-informed deep learning for three-dimensional transient heat transfer analysis of functionally graded materials JF - Computational Mechanics N2 - We present a physics-informed deep learning model for the transient heat transfer analysis of three-dimensional functionally graded materials (FGMs) employing a Runge–Kutta discrete time scheme. Firstly, the governing equation, associated boundary conditions and the initial condition for transient heat transfer analysis of FGMs with exponential material variations are presented. Then, the deep collocation method with the Runge–Kutta integration scheme for transient analysis is introduced. The prior physics that helps to generalize the physics-informed deep learning model is introduced by constraining the temperature variable with discrete time schemes and initial/boundary conditions. Further the fitted activation functions suitable for dynamic analysis are presented. Finally, we validate our approach through several numerical examples on FGMs with irregular shapes and a variety of boundary conditions. From numerical experiments, the predicted results with PIDL demonstrate well agreement with analytical solutions and other numerical methods in predicting of both temperature and flux distributions and can be adaptive to transient analysis of FGMs with different shapes, which can be the promising surrogate model in transient dynamic analysis. KW - Wärmeübergang KW - Deep Learning KW - Modellierung KW - physics-informed activation function KW - heat transfer KW - functionally graded materials Y1 - 2023 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20230517-63666 UR - https://link.springer.com/article/10.1007/s00466-023-02287-x VL - 2023 SP - 1 EP - 12 PB - Springer CY - Berlin ER - TY - INPR A1 - Vogel, Albert A1 - Benz, Alexander A1 - Völker, Conrad T1 - Untersuchung des Wärmeübergangs von zyklisch beanspruchten Betonzylindern N2 - Wiederkehrende Belastungen, wie sie beispielsweise an Brücken oder Windenergieanlagen auftreten, können innerhalb der Nutzungsdauer solcher Bauwerke bis zu 1.000.000.000 Lastwechsel erreichen. Um das dadurch eintretende Ermüdungsverhalten von Beton zu untersuchen, werden diese zyklischen Beanspruchungen in mechanischen Versuchen mit Prüfzylindern nachgestellt. Damit Versuche mit solch hohen Lastwechselzahlen in akzeptablen Zeitdauern durchgeführt werden können, wird die Belastungsfrequenz erhöht. Als Folge dieser erhöhten Belas-tungsfrequenz erwärmen sich allerdings die Betonprobekörper, was zu einem früheren, unrealistischen Versagenszeitpunkt führen kann, weshalb die Erwärmung begrenzt werden muss. Um die Wärmefreisetzung in der Probe zu untersuchen, wurden Versuche und Simulationen durchgeführt. Im Beitrag wird die analytische und messtechnische Analyse des Wärmeübergangs an erwärmten Betonzylindern vorgestellt. Resultierend daraus wird eine Möglichkeit zur Reduktion der Erwärmung an zyklisch beanspruchten Betonzylindern vorgestellt. N2 - Periodic load cycles, such as those that occur on bridges or wind turbines, are of great importance for dynamic long-term considerations of concrete. Within the life span of such structures, up to 1,000,000,000 load changes can be expected. To determine the fatigue strength, the resistance to periodic loads can be determined in a short time in laboratory tests by increasing the load frequency. As a result of this increased load frequency, however, the concrete test specimens heat up, which can lead to an earlier, unrealistic time of failure, which is why the heating must be limited. Therefore, tests and simulations were carried out to investigate the heat release in the sample. In this article, the analytical analysis and measurements of the heat release of heated concrete cylinders are presented. As a conclusion, a possibility of reducing the temperature of dynamically stressed concrete cylinders is introduced. KW - Zyklische Beanspruchung KW - Wärmeübergang KW - Wärmeübergangskoeffizient KW - Dissipation KW - Wärmeübergangskoeffizient an Zylinder KW - heat transfer coefficient for cylinders KW - cyclic load Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20200619-41813 N1 - This is the pre-peer reviewed version of the following article: https://onlinelibrary.wiley.com/doi/abs/10.1002/bapi.202000004, which has been published in final form at https://doi.org/10.1002/bapi.202000004 VL - 2020 IS - Volume 42, Issue 3 SP - 131 EP - 138 PB - John Wiley and Sons ER -