| Autor: |
Leon Kolditz, Katrin Mang |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Examples and Counterexamples, Vol 2, Iss , Pp 100047- (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2666-657X |
| DOI: |
10.1016/j.exco.2022.100047 |
| Popis: |
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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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