Fathi, F. orcid.org/0000-0003-0789-3203, Chen, L. and Borst, R. (2021) X‐IGALME : Isogeometric analysis extended with local maximum entropy for fracture analysis. International Journal for Numerical Methods in Engineering, 122 (21). pp. 6103-6125. ISSN 0029-5981
Abstract
An extended approach is developed by blending isogeometric analysis and the first-order local maximum entropy for the standard and the enhanced fields, respectively. Isogeometric analysis facilitates the accurate parametrization of the geometry in general, particularly the exact geometric parametrization of the conic curves and quadratic surfaces using NURBS. On the other hand, the local maximum entropy leads to an improved estimate for the enhanced part due to its infinite continuity. Moreover, local maximum entropy paves the way to a nonelementwise crack propagation owing to its meshfree characteristic. To enforce compatibility, the shifting technique is amended for the meshfree enhanced part to localize the effect of the Heaviside function to a narrow region around the crack. Next, a blending technique is exploited to remove the effect of the discontinuity in front of the crack tip. The viability of the approach is illustrated at the hand of several examples comprising straight and curved crack propagation.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2021 John Wiley & Sons Ltd. This is an author-produced version of a paper subsequently published in International Journal for Numerical Methods in Engineering. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Extended finite element method; isogeometric analysis; meshless method; local maximum entropy; cohesive fracture |
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: | 04 Jan 2022 09:57 |
Last Modified: | 03 Aug 2022 00:13 |
Status: | Published |
Publisher: | Wiley |
Refereed: | Yes |
Identification Number: | 10.1002/nme.6784 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:181915 |