2023/08/29 by Henry von Wahl, Thomas Wick · 1 voice
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Brittle fracture #Complex fracture #Composite material #Computer science #Coupling (piping) #Field (mathematics) #Finite element method #Flow (mathematics) #Fluid dynamics #Fluid–structure interaction #Fracture (geology) #Lattice Boltzmann Simulation Studies #Materials science #Mathematics #Mechanics #Numerical methods in engineering #Path (computing) #Phase (matter) #Physics #Tracking (education) #Two-phase flow #Work (physics) #math.NA
paper · pdf · doi:10.1016/j.rinam.2024.100455
arxiv published 2023/08/29 · arxiv updated 2023/12/12 · openalex publication_date 2024/04/13 · openalex created_date 2024/04/14 · openalex updated_date 2026/07/23
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.