Details
| Original language | English |
|---|---|
| Article number | 100455 |
| Number of pages | 15 |
| Journal | Results in Applied Mathematics |
| Volume | 22 |
| Early online date | 13 Apr 2024 |
| Publication status | Published - May 2024 |
Abstract
In this work, we couple a high-accuracy phase-field fracture reconstruction approach iteratively to fluid–structure interaction. The key motivation is to utilise phase-field modelling to compute the fracture path. A mesh reconstruction allows a switch from interface-capturing to interface-tracking in which the coupling conditions can be realised in a highly accurate fashion. Consequently, inside the fracture, a Stokes flow can be modelled that is coupled to the surrounding elastic medium. A fully coupled approach is obtained by iterating between the phase-field and the fluid–structure interaction model. The resulting algorithm is demonstrated for several numerical examples of quasi-static brittle fractures. We consider both stationary and quasi-stationary problems. In the latter, the dynamics arise through an incrementally increasing given pressure.
Keywords
- Finite elements, Fluid–structure interaction, Interface reconstructions, Phase-field fracture, Sneddon's benchmark
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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In: Results in Applied Mathematics, Vol. 22, 100455, 05.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A coupled high-accuracy phase-field fluid–structure interaction framework for Stokes fluid-filled fracture surrounded by an elastic medium
AU - von Wahl, Henry
AU - Wick, Thomas
N1 - Funding Information: HvW acknowledges support through the Austrian Science Fund (FWF) project F65. TW thanks Ivan Yotov (University of Pittsburgh) for a fruitful discussion at the \u2018Hot Topics: Recent Progress in Deterministic and Stochastic Fluid\u2013structure Interaction\u2019 Workshop, Dec 2023, in Berkeley, US, during the revision of this paper.
PY - 2024/5
Y1 - 2024/5
N2 - In this work, we couple a high-accuracy phase-field fracture reconstruction approach iteratively to fluid–structure interaction. The key motivation is to utilise phase-field modelling to compute the fracture path. A mesh reconstruction allows a switch from interface-capturing to interface-tracking in which the coupling conditions can be realised in a highly accurate fashion. Consequently, inside the fracture, a Stokes flow can be modelled that is coupled to the surrounding elastic medium. A fully coupled approach is obtained by iterating between the phase-field and the fluid–structure interaction model. The resulting algorithm is demonstrated for several numerical examples of quasi-static brittle fractures. We consider both stationary and quasi-stationary problems. In the latter, the dynamics arise through an incrementally increasing given pressure.
AB - In this work, we couple a high-accuracy phase-field fracture reconstruction approach iteratively to fluid–structure interaction. The key motivation is to utilise phase-field modelling to compute the fracture path. A mesh reconstruction allows a switch from interface-capturing to interface-tracking in which the coupling conditions can be realised in a highly accurate fashion. Consequently, inside the fracture, a Stokes flow can be modelled that is coupled to the surrounding elastic medium. A fully coupled approach is obtained by iterating between the phase-field and the fluid–structure interaction model. The resulting algorithm is demonstrated for several numerical examples of quasi-static brittle fractures. We consider both stationary and quasi-stationary problems. In the latter, the dynamics arise through an incrementally increasing given pressure.
KW - Finite elements
KW - Fluid–structure interaction
KW - Interface reconstructions
KW - Phase-field fracture
KW - Sneddon's benchmark
UR - http://www.scopus.com/inward/record.url?scp=85190307740&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2308.15400
DO - 10.48550/arXiv.2308.15400
M3 - Article
AN - SCOPUS:85190307740
VL - 22
JO - Results in Applied Mathematics
JF - Results in Applied Mathematics
M1 - 100455
ER -