Phase Field Modeling of Fatigue Fracture

authored by: Christoph Schreiber, Ralf Müller, Fadi Aldakheel
Abstract: In this contribution we introduce a phase field model for fatigue crack growth. The model is based on a diffuse formulation of quasi static brittle fracture. In order to account for the fatigue phenomenon an additional energy contribution is incorporated. This additional component represents the amount of accumulated energy associated to irreversibilities of cyclic loading and unloading. The evolution of a fracture phase field is governed by an appropriate Ginzburg-Landau type equation. To enable efficient computation the integration scheme is transferred into the cycle domain. Finally, by showing results of different fatigue crack growth scenarios the model behaviour in terms of crack growth rate, mean stress effect and also growth direction is illustrated.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): University of Kaiserslautern
Type: Contribution to book/anthology
Pages: 475-483
No. of pages: 9
Publication date: 13.03.2022
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Computer Science, General Engineering
Electronic version(s): https://doi.org/10.1007/978-3-030-87312-7_46 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@inbook{23df030403274ca9a0643f960fd78951,
title = "Phase Field Modeling of Fatigue Fracture",
abstract = "In this contribution we introduce a phase field model for fatigue crack growth. The model is based on a diffuse formulation of quasi static brittle fracture. In order to account for the fatigue phenomenon an additional energy contribution is incorporated. This additional component represents the amount of accumulated energy associated to irreversibilities of cyclic loading and unloading. The evolution of a fracture phase field is governed by an appropriate Ginzburg-Landau type equation. To enable efficient computation the integration scheme is transferred into the cycle domain. Finally, by showing results of different fatigue crack growth scenarios the model behaviour in terms of crack growth rate, mean stress effect and also growth direction is illustrated.",
author = "Christoph Schreiber and Ralf M{\"u}ller and Fadi Aldakheel",
note = "Christoph Schreiber and Ralf M{\"u}ller gratefully acknowledge the funding for this research by the German Science Foundation (DFG) within IRTG 2057-2524083 and SPP 1748-255846293. Fadi Aldakheel gratefully acknowledges the support by (DFG) within SPP 2020-WR 19/58-2.",
year = "2022",
month = mar,
day = "13",
doi = "10.1007/978-3-030-87312-7_46",
language = "English",
isbn = "9783030873110",
pages = "475--483",
booktitle = "Current Trends and Open Problems in Computational Mechanics",
publisher = "Springer International Publishing AG",
address = "Switzerland",
}