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Simulation of crack propagation in ductile materials under non-proportional loading conditions. Part I: Modelling of deformation-induced plastic anisotropy

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Description

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.
The focus of this first part of the work relies therefore on the modelling of the constitutive response for non-proportional cyclic loading conditions. To this end, isotropic and kinematic hardening and a deformation-induced change in the plastic flow are the hardening mechanisms considered here. The latter includes both a formative and a rotational change of the yield surface. A first attempt to model such a material behaviour was undertaken in Dafalias et al. [1] and further developed in Feigenbaum et al. [2]. The entire model is formulated in a thermodynamically consistent way, i.e. the second law of thermodynamics in the form of the classical Clausius-Duhem inequality is fulfilled for all permissible processes.
In the second part of this work the constitutive equations are suitably extended by a further internal variable, the phase field variable, to describe ductile crack growth.

Reference: ICMFF14-2025-58

Title: Simulation of crack propagation in ductile materials under non-proportional loading conditions. Part I: Modelling of deformation-induced plastic anisotropy
Author(s): A. Gibb, A. Tsakmakis, M. Vormwald
DOI: 10.48447/ICMFF14-2025-58
Event: 14. International Conference on Multiaxial Fatigue and Fracture 2025
Year of publication: 2025
Publication type: conference paper (PDF)
Language: English
Keywords: Plasticity,Phase Field,Multi-axial,Damage,Fatigue

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Author(s): C. Fällgren, M. Vormwald

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Author(s): A. Gibb, A. Tsakmakis, M. Vormwald

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Author(s): N. M. Bauer, A. Wöhle, J. Baumgartner

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