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Simulation of crack propagation in ductile materials under non-proportional loading conditions. Part II: Phase field modelling of crack propagation

The aim of this research is to simulate fatigue crack propagation in ductile materials subjected to cyclic non-proportional and mixed-mode loading by means of the phase field method. For the investigated materials, it is to be expected that non-proportional hardening has a major influence on the crack initiation and further evolution.
In the first part of this work a constitutive model for the description of the material behavior in such cases was proposed. This model is now extended by a phase field variable to describe the complex crack phenomena, cf. Tsakmakis and Vormwald [1,2]. The underlying crack growth mechanism is assumed to be driven by plastic deformation. Thermodynamic consistency of the model is ensured in the present work within the framework of so-called…

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The aim of this research is to simulate fatigue crack propagation in ductile materials subjected to cyclic non-proportional and mixed-mode loading by means of the phase field method. For the investigated materials, it is to be expected that non-proportional hardening has a major influence on the crack initiation and further evolution.
In the first part of this work a constitutive model for the description of the material behavior in such cases was proposed. This model is now extended by a phase field variable to describe the complex crack phenomena, cf. Tsakmakis and Vormwald [1,2]. The underlying crack growth mechanism is assumed to be driven by plastic deformation. Thermodynamic consistency of the model is ensured in the present work within the framework of so-called non-conventional thermodynamics proposed in Dunn and Serrin [3].
Finally, the capabilities of the proposed model are analyzed with the help of experimental results. For this purpose, predicted crack paths are compared with experimentally determined crack paths in thin-walled tubes under combined tension/compression and torsional loading. In particular, both proportional and non-proportional cyclic loads are analyzed. Fig. 1 shows exemplarily results of the comparison.

Artikelnummer
ICMFF14-2025-59

Titel
Simulation of crack propagation in ductile materials under non-proportional loading conditions. Part II: Phase field modelling of crack propagation
Autor(en)
A. Gibb, A. Tsakmakis, M. Vormwald
DOI
10.48447/ICMFF14-2025-59
Veranstaltung
14. International Conference on Multiaxial Fatigue and Fracture 2025
Jahr der Veröffentlichung
2025
Publikationsart
Tagungsmanuskript (PDF)
Sprache
Englisch
Stichwörter
Plasticity,Phase Field,Multi-axial,Fatigue,Damage