Details
| Original language | English |
|---|---|
| Article number | 100734 |
| Journal | Software Impacts |
| Volume | 23 |
| Early online date | 2 Jan 2025 |
| Publication status | Published - Mar 2025 |
Abstract
This codebase is developed to address optimal control problems in phase-field fracture, aiming to achieve a desired fracture pattern in brittle materials through the application of external forces. Built alongside our recent work (Khimin et al., 2022), this framework provides an efficient and precise approach for simulating space–time phase-field optimal control problems. In this setup, the fracture is controlled via Neumann boundary conditions, with the cost functional designed to minimize the difference between the actual and desired fracture states. The implementation relies on the open-source libraries DOpElib (Goll et al., 2017) and deal.II (Arndt et al.
Keywords
- Applied mathematics, C++, deal.II, DOpElib, Optimal control, Phase-field fracture, Space–time
ASJC Scopus subject areas
- Computer Science(all)
- Software
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In: Software Impacts, Vol. 23, 100734, 03.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - pff-oc
T2 - A space–time phase-field fracture optimal control framework
AU - Khimin, Denis
AU - Steinbach, Marc Christian
AU - Wick, Thomas
N1 - Publisher Copyright: © 2024 The Author(s)
PY - 2025/3
Y1 - 2025/3
N2 - This codebase is developed to address optimal control problems in phase-field fracture, aiming to achieve a desired fracture pattern in brittle materials through the application of external forces. Built alongside our recent work (Khimin et al., 2022), this framework provides an efficient and precise approach for simulating space–time phase-field optimal control problems. In this setup, the fracture is controlled via Neumann boundary conditions, with the cost functional designed to minimize the difference between the actual and desired fracture states. The implementation relies on the open-source libraries DOpElib (Goll et al., 2017) and deal.II (Arndt et al.
AB - This codebase is developed to address optimal control problems in phase-field fracture, aiming to achieve a desired fracture pattern in brittle materials through the application of external forces. Built alongside our recent work (Khimin et al., 2022), this framework provides an efficient and precise approach for simulating space–time phase-field optimal control problems. In this setup, the fracture is controlled via Neumann boundary conditions, with the cost functional designed to minimize the difference between the actual and desired fracture states. The implementation relies on the open-source libraries DOpElib (Goll et al., 2017) and deal.II (Arndt et al.
KW - Applied mathematics
KW - C++
KW - deal.II
KW - DOpElib
KW - Optimal control
KW - Phase-field fracture
KW - Space–time
UR - http://www.scopus.com/inward/record.url?scp=85214347070&partnerID=8YFLogxK
U2 - 10.1016/j.simpa.2024.100734
DO - 10.1016/j.simpa.2024.100734
M3 - Article
AN - SCOPUS:85214347070
VL - 23
JO - Software Impacts
JF - Software Impacts
M1 - 100734
ER -