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 -