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Modelling fatigue crack growth in shape memory alloys

Published version
Peer-reviewed

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Authors

Braithwaite, Christopher 
Makaya, Advenit 
Martínez‐Pañeda, Emilio  ORCID logo  https://orcid.org/0000-0002-1562-097X

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.

Description

Keywords

SPECIAL ISSUE ARTICLE, SPECIAL ISSUE ARTICLES, fatigue, finite element analysis, fracture, phase field, shape memory alloys

Journal Title

Fatigue & Fracture of Engineering Materials & Structures

Conference Name

Journal ISSN

8756-758X
1460-2695

Volume Title

Publisher

Sponsorship
Engineering and Physical Sciences Research Council (EP/R512461/1)
European Space Agency (4000125861)
UK Research and Innovation (MR/V024124/1)