Modelling fatigue crack growth in shape memory alloys
Publication Date
2022-01-13Journal Title
Fatigue & Fracture of Engineering Materials & Structures
ISSN
8756-758X
1460-2695
Language
en
Type
Article
This Version
AO
VoR
Metadata
Show full item recordCitation
Simoes, M., Braithwaite, C., Makaya, A., & Martínez‐Pañeda, E. (2022). Modelling fatigue crack growth in shape memory alloys. Fatigue & Fracture of Engineering Materials & Structures https://doi.org/10.1111/ffe.13638
Abstract
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.
Keywords
SPECIAL ISSUE ARTICLE, SPECIAL ISSUE ARTICLES, fatigue, finite element analysis, fracture, phase field, shape memory alloys
Sponsorship
Engineering and Physical Sciences Research Council (EP/R512461/1)
European Space Agency (4000125861)
UK Research and Innovation (MR/V024124/1)
Identifiers
ffe13638
External DOI: https://doi.org/10.1111/ffe.13638
This record's URL: https://www.repository.cam.ac.uk/handle/1810/333048
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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