Details
| Original language | English |
|---|---|
| Article number | 108907 |
| Number of pages | 15 |
| Journal | International Journal of Mechanical Sciences |
| Volume | 265 |
| Early online date | 7 Dec 2023 |
| Publication status | Published - 1 Mar 2024 |
Abstract
Phase field models can effectively capture complicated crack evolution characteristics such as propagation, bifurcating, intersecting and merging. However, the simulation of three-dimensional (3D) quasi-brittle fracture remains a challenge due to large nonlinear equation systems and significant computational costs, which are often intractable by iteration-based implicit approaches, especially in complex mixed-mode fracture. This work presents an efficient explicit phase field model based on the unified phase field theory in order to overcome the above issues. In this model, the displacement field is second-order time dependent while the damage-phase field follows a first-order time dependence with a viscosity term. Efficient explicit central- and forward-difference algorithms for each field are developed by combining VUEL and VUMAT subroutines in the software ABAQUS/Explicit; hence, the convergence issue in the implicit phase field modelling is avoided. Several typical 3D fracture benchmarks with different failure modes are analysed for verification purposes and compared with the available experimental data. The results indicate that the developed model and computational implementation method can simulate complex 3D fracture of brittle/quasi-brittle materials with salient accuracy and efficiency, and are promising to meet the requirements in structural-level engineering practices.
Keywords
- 3D crack evolution, Concrete structures, Explicit numerical scheme, Mixed-mode fracture, Unified phase field theory
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Materials Science(all)
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Aerospace Engineering
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal of Mechanical Sciences, Vol. 265, 108907, 01.03.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - 3D concrete fracture simulations using an explicit phase field model
AU - Hai, Lu
AU - Zhang, Hui
AU - Wriggers, Peter
AU - Huang, Yu jie
AU - Zhuang, Xiao ying
AU - Xu, Shi lang
N1 - Funding Information: This work is funded by National Natural Science Foundation of China ( 52208296 ), Fundamental Research Program of Shanxi Province ( 202203021212132 and 202203021212142 ) and “Overseas Training Program for Young Talents” of Ocean University of China. The author Peter Wriggers gratefully acknowledges support for this research by the “German Research Foundation” (DFG) in the PRIORITY PROGRAM SPP 2020, project WR 19/58-2.
PY - 2024/3/1
Y1 - 2024/3/1
N2 - Phase field models can effectively capture complicated crack evolution characteristics such as propagation, bifurcating, intersecting and merging. However, the simulation of three-dimensional (3D) quasi-brittle fracture remains a challenge due to large nonlinear equation systems and significant computational costs, which are often intractable by iteration-based implicit approaches, especially in complex mixed-mode fracture. This work presents an efficient explicit phase field model based on the unified phase field theory in order to overcome the above issues. In this model, the displacement field is second-order time dependent while the damage-phase field follows a first-order time dependence with a viscosity term. Efficient explicit central- and forward-difference algorithms for each field are developed by combining VUEL and VUMAT subroutines in the software ABAQUS/Explicit; hence, the convergence issue in the implicit phase field modelling is avoided. Several typical 3D fracture benchmarks with different failure modes are analysed for verification purposes and compared with the available experimental data. The results indicate that the developed model and computational implementation method can simulate complex 3D fracture of brittle/quasi-brittle materials with salient accuracy and efficiency, and are promising to meet the requirements in structural-level engineering practices.
AB - Phase field models can effectively capture complicated crack evolution characteristics such as propagation, bifurcating, intersecting and merging. However, the simulation of three-dimensional (3D) quasi-brittle fracture remains a challenge due to large nonlinear equation systems and significant computational costs, which are often intractable by iteration-based implicit approaches, especially in complex mixed-mode fracture. This work presents an efficient explicit phase field model based on the unified phase field theory in order to overcome the above issues. In this model, the displacement field is second-order time dependent while the damage-phase field follows a first-order time dependence with a viscosity term. Efficient explicit central- and forward-difference algorithms for each field are developed by combining VUEL and VUMAT subroutines in the software ABAQUS/Explicit; hence, the convergence issue in the implicit phase field modelling is avoided. Several typical 3D fracture benchmarks with different failure modes are analysed for verification purposes and compared with the available experimental data. The results indicate that the developed model and computational implementation method can simulate complex 3D fracture of brittle/quasi-brittle materials with salient accuracy and efficiency, and are promising to meet the requirements in structural-level engineering practices.
KW - 3D crack evolution
KW - Concrete structures
KW - Explicit numerical scheme
KW - Mixed-mode fracture
KW - Unified phase field theory
UR - http://www.scopus.com/inward/record.url?scp=85179891788&partnerID=8YFLogxK
U2 - 10.1016/j.ijmecsci.2023.108907
DO - 10.1016/j.ijmecsci.2023.108907
M3 - Article
AN - SCOPUS:85179891788
VL - 265
JO - International Journal of Mechanical Sciences
JF - International Journal of Mechanical Sciences
SN - 0020-7403
M1 - 108907
ER -