Abstract
In this contribution, the phase-field PF approach to brittle fracture is extended to model fatigue failure in the high cyclic regime. Fatigue is the primary failure mode for more than 90% of mechanical failures. It occurs when a structure is subjected to repeated loading at stress levels that are below the yield stress of the material. On the modeling side, a local energy accumulation variable which takes the loading history of a structure into account is introduced within the PF formulation. This is inserted into a fatigue degradation function which degrades the fracture material properties. To this end, only one additional parameter is proposed, that enables the reproduction of main material fatigue features. The model performance is demonstrated by two representative numerical examples.
This paper is dedicated to my Habilitation advisor Professor Peter Wriggers in acknowledgement of his pioneering contributions to computational mechanics and modern element technologies. I had the great fortune of being a post-doctoral student, group leader and currently chief engineer at his institute. Thank you Peter very much for your confidence in my work and the continuous support in the scientific community. Congratulations and many more successful, healthy and happy years to come! (F. Aldakheel).
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Acknowledgements
The corresponding author Fadi Aldakheel gratefully acknowledges support for this research by the “German Research Foundation” (DFG) within SPP 2020-WR 19/58-2. Christoph Schreiber and Ralf Müller acknowledge the funding by DFG within IRTG 2057-2524083 and SPP 1748-255846293.
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Aldakheel, F., Schreiber, C., Müller, R., Wriggers, P. (2022). Phase-Field Modeling of Fatigue Crack Propagation in Brittle Materials. In: Aldakheel, F., Hudobivnik, B., Soleimani, M., Wessels, H., Weißenfels, C., Marino, M. (eds) Current Trends and Open Problems in Computational Mechanics. Springer, Cham. https://doi.org/10.1007/978-3-030-87312-7_2
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