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A generalised phase field model for fatigue crack growth in elastic–plastic solids with an efficient monolithic solver

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Khalil, Z 
Martínez-Pañeda, E  ORCID logo  https://orcid.org/0000-0002-1562-097X

Abstract

We present a generalised phase field-based formulation for predicting fatigue crack growth in metals. The theoretical framework aims at covering a wide range of material behaviour. Different fatigue degradation functions are considered and their influence is benchmarked against experiments. The phase field constitutive theory accommodates the so-called AT1, AT2 and phase field-cohesive zone (PF-CZM) models. In regards to material deformation, both non-linear kinematic and isotropic hardening are considered, as well as the combination of the two. Moreover, a monolithic solution scheme based on quasi-Newton algorithms is presented and shown to significantly outperform staggered approaches. The potential of the computational framework is demonstrated by investigating several 2D and 3D boundary value problems of particular interest. Constitutive and numerical choices are compared and insight is gained into their differences and similarities. The framework enables predicting fatigue crack growth in arbitrary geometries and for materials exhibiting complex (cyclic) deformation and damage responses. The finite element code developed is made freely available at www.empaneda.com/codes.

Description

Keywords

Phase field fracture, Fatigue, Kinematic hardening, Bauschinger effect, Quasi-Newton

Journal Title

Computer Methods in Applied Mechanics and Engineering

Conference Name

Journal ISSN

0045-7825
1879-2138

Volume Title

388

Publisher

Elsevier BV