Chen, L. and de Borst, R. orcid.org/0000-0002-3457-3574 (2019) Cohesive fracture analysis using Powell-Sabin B-splines. International Journal for Numerical and Analytical Methods in Geomechanics, 43 (2). pp. 625-640. ISSN 0363-9061
Abstract
Powell-Sabin B-splines, which are based on triangles, are employed to model cohesive crack propagation without a predefined interface. The method removes limitations that adhere to isogeometric analysis regarding discrete crack analysis. Isogeometric analysis requires that the initial mesh be aligned a priori with the final crack path to a certain extent. These restrictions are partly related to the fact that in isogeometric analysis, the crack is introduced in the parameter domain by meshline insertions. Herein, the crack is introduced directly in the physical domain. Because of the use of triangles, remeshing and tracking the real crack path in the physical domain is relatively standard. The method can be implemented in existing finite element programmes in a straightforward manner through the use of Bézier extraction. The accuracy of the approach to model free crack propagation is demonstrated by several numerical examples, including discrete crack modelling in an L-shaped beam and the Nooru-Mohamed tension-shear test.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 The Authors International Journal for Numerical and Analytical Methods in Geomechanics Published by John Wiley & Sons Ltd. This is an open access article under the terms of the Creative Commons Attribution‐NonCommercial‐NoDerivs License (https://creativecommons.org/licenses/by-nc-nd/4.0/), which permits use and distribution in any medium, provided the original work is properly cited, the use is non‐commercial and no modifications or adaptations are made. |
Keywords: | Bézier extraction; cohesive zone model; fracture; Powell-Sabin B-splines |
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) |
Funding Information: | Funder Grant number EUROPEAN COMMISSION - HORIZON 2020 664734 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 01 Feb 2019 16:36 |
Last Modified: | 01 Feb 2019 16:36 |
Published Version: | https://doi.org/10.1002/nag.2882 |
Status: | Published |
Publisher: | Wiley |
Refereed: | Yes |
Identification Number: | 10.1002/nag.2882 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:139589 |
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