Phase Field Modeling of Fatigue Fracture

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Authors

  • Christoph Schreiber
  • Ralf Müller
  • Fadi Aldakheel

Research Organisations

External Research Organisations

  • University of Kaiserslautern
View graph of relations

Details

Original languageEnglish
Title of host publicationCurrent Trends and Open Problems in Computational Mechanics
PublisherSpringer International Publishing AG
Pages475-483
Number of pages9
ISBN (electronic)9783030873127
ISBN (print)9783030873110
Publication statusPublished - 13 Mar 2022

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.

ASJC Scopus subject areas

Cite this

Phase Field Modeling of Fatigue Fracture. / Schreiber, Christoph; Müller, Ralf; Aldakheel, Fadi.
Current Trends and Open Problems in Computational Mechanics. Springer International Publishing AG, 2022. p. 475-483.

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Schreiber, C, Müller, R & Aldakheel, F 2022, Phase Field Modeling of Fatigue Fracture. in Current Trends and Open Problems in Computational Mechanics. Springer International Publishing AG, pp. 475-483. https://doi.org/10.1007/978-3-030-87312-7_46
Schreiber, C., Müller, R., & Aldakheel, F. (2022). Phase Field Modeling of Fatigue Fracture. In Current Trends and Open Problems in Computational Mechanics (pp. 475-483). Springer International Publishing AG. https://doi.org/10.1007/978-3-030-87312-7_46
Schreiber C, Müller R, Aldakheel F. Phase Field Modeling of Fatigue Fracture. In Current Trends and Open Problems in Computational Mechanics. Springer International Publishing AG. 2022. p. 475-483 doi: 10.1007/978-3-030-87312-7_46
Schreiber, Christoph ; Müller, Ralf ; Aldakheel, Fadi. / Phase Field Modeling of Fatigue Fracture. Current Trends and Open Problems in Computational Mechanics. Springer International Publishing AG, 2022. pp. 475-483
Download
@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",

}

Download

TY - CHAP

T1 - Phase Field Modeling of Fatigue Fracture

AU - Schreiber, Christoph

AU - Müller, Ralf

AU - Aldakheel, Fadi

N1 - Christoph Schreiber and Ralf Müller 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.

PY - 2022/3/13

Y1 - 2022/3/13

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85153810720&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-87312-7_46

DO - 10.1007/978-3-030-87312-7_46

M3 - Contribution to book/anthology

AN - SCOPUS:85153810720

SN - 9783030873110

SP - 475

EP - 483

BT - Current Trends and Open Problems in Computational Mechanics

PB - Springer International Publishing AG

ER -