dc.identifier.uri |
http://dx.doi.org/10.15488/10991 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/11073 |
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dc.contributor.author |
Khodadadian, Amirreza
|
|
dc.contributor.author |
Noii, Nima
|
|
dc.contributor.author |
Parvizi, Maryam
|
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dc.contributor.author |
Abbaszadeh, Mostafa
|
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dc.contributor.author |
Wick, Thomas
|
|
dc.contributor.author |
Heitzinger, Clemens
|
|
dc.date.accessioned |
2021-05-25T11:49:21Z |
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dc.date.available |
2021-05-25T11:49:21Z |
|
dc.date.issued |
2020 |
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dc.identifier.citation |
Khodadadian, A.; Noii, N.; Parvizi, M.; Abbaszadeh, M.; Wick, T. et al.: A Bayesian estimation method for variational phase-field fracture problems. In: Computational Mechanics 66 (2020), S. 827-849. DOI: https://doi.org/10.1007/s00466-020-01876-4 |
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dc.description.abstract |
In this work, we propose a parameter estimation framework for fracture propagation problems. The fracture problem is described by a phase-field method. Parameter estimation is realized with a Bayesian approach. Here, the focus is on uncertainties arising in the solid material parameters and the critical energy release rate. A reference value (obtained on a sufficiently refined mesh) as the replacement of measurement data will be chosen, and their posterior distribution is obtained. Due to time- and mesh dependencies of the problem, the computational costs can be high. Using Bayesian inversion, we solve the problem on a relatively coarse mesh and fit the parameters. In several numerical examples our proposed framework is substantiated and the obtained load-displacement curves, that are usually the target functions, are matched with the reference values. © 2020, The Author(s). |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Berlin : Springer |
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dc.relation.ispartofseries |
Computational Mechanics 66 (2020) |
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dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
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dc.subject |
Bayesian estimation |
eng |
dc.subject |
Brittle fracture |
eng |
dc.subject |
Inverse problem |
eng |
dc.subject |
Multi-field problem |
eng |
dc.subject |
Phase-field propagation |
eng |
dc.subject |
Bayesian networks |
eng |
dc.subject |
Fracture |
eng |
dc.subject |
Mesh generation |
eng |
dc.subject |
Phase transitions |
eng |
dc.subject |
Bayesian approaches |
eng |
dc.subject |
Bayesian estimation methods |
eng |
dc.subject |
Computational costs |
eng |
dc.subject |
Critical energy release rate |
eng |
dc.subject |
Fracture propagation |
eng |
dc.subject |
Load-displacement curve |
eng |
dc.subject |
Phase field methods |
eng |
dc.subject |
Posterior distributions |
eng |
dc.subject |
Parameter estimation |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.subject.ddc |
004 | Informatik
|
ger |
dc.title |
A Bayesian estimation method for variational phase-field fracture problems |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1432-0924 |
|
dc.relation.issn |
0178-7675 |
|
dc.relation.doi |
https://doi.org/10.1007/s00466-020-01876-4 |
|
dc.bibliographicCitation.volume |
66 |
|
dc.bibliographicCitation.firstPage |
827 |
|
dc.bibliographicCitation.lastPage |
849 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|