Chen, L., Li, B. and Borst, R. (2019) Energy conservation during remeshing in the analysis of dynamic fracture. International Journal for Numerical Methods in Engineering, 120 (4). pp. 433-446. ISSN 0029-5981
Abstract
The analysis of (dynamic) fracture often requires multiple changes to the discretisation during crack propagation. The state vector from the previous time step must then be transferred to provide the initial values of the next time step. A novel methodology based on a least‐squares fit is proposed for this mapping. The energy balance is taken as a constraint in the mapping, which results in a complete energy preservation. Apart from capturing the physics better, this also has advantages for numerical stability. To further improve the accuracy, Powell‐Sabin B‐splines, which are based on triangles, have been used for the discretisation. Since urn:x-wiley:nme:media:nme6142:nme6142-math-0001 continuity of the displacement field holds at crack tips for Powell‐Sabin B‐splines, the stresses at and around crack tips are captured much more accurately than when using elements with a standard Lagrangian interpolation, or with NURBS and T‐splines. The versatility and accuracy of the approach to simulate dynamic crack propagation are assessed in two case studies, featuring mode‐I and mixed‐mode crack propagation.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 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: | cohesive zone model; dynamic fracture; energy conservation; Powell‐Sabin B‐splines; remeshing |
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: | 11 Jul 2019 13:26 |
Last Modified: | 08 Dec 2021 09:11 |
Status: | Published |
Publisher: | Wiley |
Refereed: | Yes |
Identification Number: | 10.1002/nme.6142 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:148390 |