Modelling fatigue crack growth in shape memory alloys
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Publication Date
2022-01-13Journal Title
Fatigue and Fracture of Engineering Materials and Structures
ISSN
1460-2695
Publisher
Wiley
Type
Article
This Version
VoR
Metadata
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Simoes, M., Braithwaite, C., Makaya, A., & Martínez-Pañeda, E. (2022). Modelling fatigue crack growth in shape memory alloys. Fatigue and Fracture of Engineering Materials and Structures https://doi.org/10.1111/ffe.13638
Abstract
We present a phase field-based framework for modelling fatigue damage in Shape Memory Alloys (SMAs). The model combines, for the first time: (i) a generalized phase field description of fracture, incorporating multiple phase field formulations, (ii) a constitutive model for SMAs, based on a Drucker–Prager form of the transformation surface, and (iii) a fatigue degradation function, with damage driven by both elastic and transformation strains. The theoretical framework is numerically implemented, and the resulting linearized system is solved using a robust monolithic scheme, based on quasi-Newton methods. Several paradigmatic boundary value problems are addressed to gain insight into the role of transformation stresses, stress-strain hysteresis, and temperature. Namely, we compute Δε - N curves, quantify Paris law parameters, and predict fatigue crack growth rates in several geometries. In addition, the potential of the model for solving large-scale problems is demonstrated by simulating the fatigue failure of a 3D lattice structure.
Sponsorship
European Space Agency
Funder references
Engineering and Physical Sciences Research Council (1946860)
Identifiers
External DOI: https://doi.org/10.1111/ffe.13638
This record's URL: https://www.repository.cam.ac.uk/handle/1810/332900
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