Modelling fatigue crack growth in shape memory alloys
Author(s)
Simoes, Marlini
Braithwaite, Christopher
Makaya, Advenit
Martinez-Paneda, Emilio
Type
Journal Article
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.
Date Issued
2022-04-01
Date Acceptance
2021-12-15
Citation
Fatigue and Fracture of Engineering Materials and Structures, 2022, 45 (4), pp.1243-1257
ISSN
1460-2695
Publisher
Wiley
Start Page
1243
End Page
1257
Journal / Book Title
Fatigue and Fracture of Engineering Materials and Structures
Volume
45
Issue
4
Copyright Statement
© 2022 The Authors. Fatigue & Fracture of Engineering Materials & Structures published by John Wiley & Sons Ltd.
This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000742211800001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Engineering, Mechanical
Materials Science, Multidisciplinary
Engineering
Materials Science
fatigue
finite element analysis
fracture
phase field
shape memory alloys
PHASE-FIELD FORMULATION
FRACTURE-TOUGHNESS
MARTENSITE-TRANSFORMATION
NUMERICAL SIMULATIONS
STRESS-STRAIN
BEHAVIOR
PROPAGATION
ALGORITHM
FRONT
Publication Status
Published
Date Publish Online
2022-01-13