dc.identifier.uri |
http://dx.doi.org/10.15488/17327 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/17455 |
|
dc.contributor.author |
Kolditz, Leon
|
|
dc.contributor.author |
Mang, Katrin
|
|
dc.date.accessioned |
2024-04-30T11:01:43Z |
|
dc.date.available |
2024-04-30T11:01:43Z |
|
dc.date.issued |
2022 |
|
dc.identifier.citation |
Kolditz, L.; Mang, K.: On the relation of Gamma-convergence parameters for pressure-driven quasi-static phase-field fracture. In: Examples and Counterexamples 2 (2022), 100047. DOI: https://doi.org/10.1016/j.exco.2022.100047 |
|
dc.description.abstract |
The proof of Γ-convergence builds the base of the well-known Ambrosio–Tortorelli functional leading to an energy functional for quasi-static phase-field fracture problems. Three parameters in a monolithic quasi-static phase-field fracture model are very relevant for the quality of the results: the length-scale ε, the regularization parameter κ to avoid ill-posedness of the system and the discretization parameter h. The work on hand presents numerical results considering a pressure-driven cavity in 2d with two quantities of interest, the crack opening displacement and the total crack volume. The focus will be to discuss the assumptions of Γ-convergence which demand: h=o(κ) and κ=o(ε) and ε→0. An error analysis of the chosen quantities of interest allows to identify a proper setting for the three mentioned model parameters. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Amsterdam : Elsevier |
|
dc.relation.ispartofseries |
Examples and Counterexamples 2 (2022) |
|
dc.rights |
CC BY-NC-ND 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by-nc-nd/4.0/ |
|
dc.subject |
Bulk regularization |
eng |
dc.subject |
Error analysis |
eng |
dc.subject |
Phase-field |
eng |
dc.subject |
Pressure-driven fracture |
eng |
dc.subject |
Γ-convergence |
eng |
dc.subject.ddc |
510 | Mathematik
|
|
dc.title |
On the relation of Gamma-convergence parameters for pressure-driven quasi-static phase-field fracture |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
2666-657X |
|
dc.relation.doi |
https://doi.org/10.1016/j.exco.2022.100047 |
|
dc.bibliographicCitation.volume |
2 |
|
dc.bibliographicCitation.firstPage |
100047 |
|
dc.description.version |
publishedVersion |
eng |
tib.accessRights |
frei zug�nglich |
|
dc.bibliographicCitation.articleNumber |
100047 |
|