Phase-field modelling of fracture in single crystal plasticity

De Lorenzis, L., McBride, A. and Reddy, B.D. (2016) Phase-field modelling of fracture in single crystal plasticity. GAMM-Mitteilungen, 39(1), pp. 7-34. (doi:10.1002/gamm.201610002)

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Abstract

We propose a phase-field model for ductile fracture in a single crystal within the kinematically linear regime, by combining the theory of single crystal plasticity as formulated in Gurtin et al. (2010) and the phase-field formulation for ductile fracture proposed by Ambati et al. (2015) . The model introduces coupling between plasticity and fracture through the dependency of the so-called degradation function from a scalar global measure of the accumulated plastic strain on all slip systems. A viscous regularization is introduced both in the treatment of plasticity and in the phase-field evolution equation. Testing of the model on two examples for face centred cubic single crystals indicates that fracture is predicted to initiate and develop in the regions of the maximum accumulated plastic strain, which is in agreement with phenomenological observations. A rotation of the crystallographic unit cell is shown to affect the test results in terms of failure pattern and corresponding global and local response.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:McBride, Dr Andrew
Authors: De Lorenzis, L., McBride, A., and Reddy, B.D.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:GAMM-Mitteilungen
Publisher:Wiley
ISSN:0936-7195
ISSN (Online):1522-2608
Published Online:30 May 2016
Copyright Holders:Copyright © 2016 Wiley
First Published:First published in GAMM-Mitteilungen 39(1):7-34
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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