Modeling multi-fracturing fibers in fiber networks using elastoplastic Timoshenko beam finite elements with embedded strong discontinuities — Formulation and staggered algorithm Article Swipe
Vedad Tojaga
,
Artem Kulachenko
,
Sören Östlund
,
Thomas C. Gasser
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1016/j.cma.2021.113964
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1016/j.cma.2021.113964
To model fiber failures in random fiber networks, we have developed an elastoplastic Timoshenko beam finite element with embedded discontinuities. The method is based on the theory of strong discontinuities where the generalized displacement field is enhanced by a jump. The continuum mechanics formulation accounts for a fracture process zone and a bulk material while retaining traction continuity across the discontinuity. The additional degrees of freedom that are associated with the discontinuity are represented by a midpoint node, which is statically condensed to enable the implementation in commercial software through the user element interface. We propose a quasi-brittle fracture model, where the failure-related deformation is uncoupled from the plastic deformation in the bulk material. To retain the positive definite finite element stiffness matrix of the bulk material, we neglect the fracture-related softening of the discontinuity and employ a modified Newton iteration in the strain softening domain. Our implementation facilitates the integration into commercial finite element software and examples illustrate the robustness of the method. The FORTRAN source code is freely available to benchmark our model. We show that fiber failures contribute to the nonlinear stress–strain response of paper. Together with fiber–fiber bond failures, they can potentially explain the nonlinear stress–strain response of paper and nanopaper.
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- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.cma.2021.113964
- OA Status
- hybrid
- Cited By
- 27
- References
- 78
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- OpenAlex ID
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https://openalex.org/W3171766752Canonical identifier for this work in OpenAlex
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https://doi.org/10.1016/j.cma.2021.113964Digital Object Identifier
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Modeling multi-fracturing fibers in fiber networks using elastoplastic Timoshenko beam finite elements with embedded strong discontinuities — Formulation and staggered algorithmWork title
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
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2021-06-08Full publication date if available
- Authors
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Vedad Tojaga, Artem Kulachenko, Sören Östlund, Thomas C. GasserList of authors in order
- Landing page
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https://doi.org/10.1016/j.cma.2021.113964Publisher landing page
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YesWhether a free full text is available
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hybridOpen access status per OpenAlex
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https://doi.org/10.1016/j.cma.2021.113964Direct OA link when available
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Finite element method, Classification of discontinuities, Timoshenko beam theory, Nonlinear system, Structural engineering, Material failure theory, Discontinuity (linguistics), Materials science, Mechanics, Mathematics, Mathematical analysis, Engineering, Physics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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27Total citation count in OpenAlex
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2025: 7, 2024: 9, 2023: 6, 2022: 4, 2021: 1Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| publication_date | 2021-06-08 |
| publication_year | 2021 |
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