Phase-Field Modeling of Fatigue Crack Propagation in Brittle Materials

authored by: Fadi Aldakheel, Chistoph Schreiber, Ralf Müller, Peter Wriggers
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): University of Kaiserslautern
Type: Contribution to book/anthology
Pages: 15-22
No. of pages: 8
Publication date: 13.03.2022
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Engineering, General Computer Science
Electronic version(s): https://doi.org/10.1007/978-3-030-87312-7_2 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@inbook{20e59aad4c0a4900819d4dbfa7bb2216,
title = "Phase-Field Modeling of Fatigue Crack Propagation in Brittle Materials",
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.",
author = "Fadi Aldakheel and Chistoph Schreiber and Ralf M{\"u}ller and Peter Wriggers",
note = "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 M{\"u}ller acknowledge the funding by DFG within IRTG 2057-2524083 and SPP 1748-255846293.",
year = "2022",
month = mar,
day = "13",
doi = "10.1007/978-3-030-87312-7_2",
language = "English",
isbn = "9783030873110",
pages = "15--22",
booktitle = "Current Trends and Open Problems in Computational Mechanics",
publisher = "Springer International Publishing AG",
address = "Switzerland",
}