Hansen-Dörr, A.C., de Borst, R. orcid.org/0000-0002-3457-3574, Hennig, P. et al. (1 more author) (2019) Phase-field modelling of interface failure in brittle materials. Computer Methods in Applied Mechanics and Engineering, 346. pp. 25-42. ISSN 0045-7825
Abstract
A phase-field approach is proposed for interface failure between two possibly dissimilar materials. The discrete adhesive interface is regularised over a finite width. Due to the use of a regularised crack model for the bulk material, an interaction between the length scales of the crack and the interface can occur. An analytic one-dimensional analysis has been carried out to quantify this effect and a correction is proposed, which compensates influences due to the regularisation in the bulk material. For multi-dimensional analyses this approach cannot be used straightforwardly, as is shown, and a study has been undertaken to numerically quantify the compensation factor due to the interaction. The aim is to obtain reliable and universally applicable results for crack propagation along interfaces between dissimilar materials, such that they are independent from the regularisation width of the interface. The method has been tested and validated on three benchmark problems. The compensation is particularly relevant for phase-field analyses in heterogeneous materials, where cohesive failure in the constituent materials as well as adhesive failure at interfaces play a role.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 Elsevier. This is an author produced version of a paper subsequently published in Computer Methods in Applied Mechanics and Engineering. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/). |
Keywords: | Phase-field modelling; Brittle fracture; Adhesive interface; Diffuse interface model; Interface failure |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 04 Jan 2019 13:19 |
Last Modified: | 28 Nov 2019 01:39 |
Published Version: | https://doi.org/10.1016/j.cma.2018.11.020 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.cma.2018.11.020 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:140357 |