A numerical assessment of phase-field models for brittle and cohesive fracture: Γ-Convergence and stress oscillations
- Submitting institution
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The University of Sheffield
- Unit of assessment
- 12 - Engineering
- Output identifier
- 2708
- Type
- D - Journal article
- DOI
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10.1016/j.euromechsol.2015.02.002
- Title of journal
- European Journal of Mechanics - A/Solids
- Article number
- -
- First page
- 72
- Volume
- 52
- Issue
- -
- ISSN
- 0997-7538
- Open access status
- Out of scope for open access requirements
- Month of publication
- February
- Year of publication
- 2015
- URL
-
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- Supplementary information
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- Request cross-referral to
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- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
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2
- Research group(s)
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-
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- The phase-field model is a smeared-crack approach which has emerged as a powerful tool for simulation crack propagation, including arrest and branching. Originally developed only for brittle fracture, the authors have made the extension to cohesive fracture, which covers large classes of materials. This paper points at the lack of Gamma-convergence, which implies that the crack length in the smeared model does not converge to that in the discrete reality upon mesh refinement, and to parasitic stress oscillations that arise for unstructured meshes. The paper was the second most-down-loaded paper in the journal three months after publication.
- Author contribution statement
- -
- Non-English
- No
- English abstract
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