Details
| Original language | English |
|---|---|
| Article number | 116540 |
| Number of pages | 21 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 418 |
| Early online date | 20 Oct 2023 |
| Publication status | Published - 1 Jan 2024 |
Abstract
To investigate dynamic fracture mechanisms of quasi-brittle materials, this work proposes a rate-dependent phase field model that integrates both macroscopic viscoelasticity and micro-viscosity to reflect the rate effects by free water and unhydrated inclusions. Based on the unified phase field theory, the model introduces a linear viscoelastic constitutive relation in effective stress space to consider the macro-viscosity of the bulk material. Additionally, the micro-force balance concept is utilized with the micro-viscosity to derive a parabolic phase field evolution law that accurately describes the dynamic micro-crack development. Explicit numerical solution schemes are established for the governing equations by developing VUEL and VUMAT subroutines in ABAQUS. This eliminates the convergence issue in implicit phase field modelling. Four typical benchmarks are investigated to validate the proposed model for macroscale and mesoscale heterogeneous problems. It is found that the proposed model can well capture the crack branching, delaying characteristic of micro-crack growth, and increase of macroscopic strength under higher strain rates. Using real meso‑structures from CT images, the complicated dynamic behaviour of concrete is investigated which yields deeper insight into stress wave propagation, crack evolution and load-carrying capacities.
Keywords
- Dynamic fracture mechanisms, Mesoscale concrete, Quasi-brittle materials, Rate dependence, Unified phase field theory
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 418, 116540, 01.01.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Dynamic fracture investigation of concrete by a rate-dependent explicit phase field model integrating viscoelasticity and micro-viscosity
AU - Hai, Lu
AU - Wriggers, Peter
AU - Huang, Yu jie
AU - Zhang, Hui
AU - Xu, Shi lang
N1 - Funding Information: The authors would acknowledge the financial supports from 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 - 2024/1/1
Y1 - 2024/1/1
N2 - To investigate dynamic fracture mechanisms of quasi-brittle materials, this work proposes a rate-dependent phase field model that integrates both macroscopic viscoelasticity and micro-viscosity to reflect the rate effects by free water and unhydrated inclusions. Based on the unified phase field theory, the model introduces a linear viscoelastic constitutive relation in effective stress space to consider the macro-viscosity of the bulk material. Additionally, the micro-force balance concept is utilized with the micro-viscosity to derive a parabolic phase field evolution law that accurately describes the dynamic micro-crack development. Explicit numerical solution schemes are established for the governing equations by developing VUEL and VUMAT subroutines in ABAQUS. This eliminates the convergence issue in implicit phase field modelling. Four typical benchmarks are investigated to validate the proposed model for macroscale and mesoscale heterogeneous problems. It is found that the proposed model can well capture the crack branching, delaying characteristic of micro-crack growth, and increase of macroscopic strength under higher strain rates. Using real meso‑structures from CT images, the complicated dynamic behaviour of concrete is investigated which yields deeper insight into stress wave propagation, crack evolution and load-carrying capacities.
AB - To investigate dynamic fracture mechanisms of quasi-brittle materials, this work proposes a rate-dependent phase field model that integrates both macroscopic viscoelasticity and micro-viscosity to reflect the rate effects by free water and unhydrated inclusions. Based on the unified phase field theory, the model introduces a linear viscoelastic constitutive relation in effective stress space to consider the macro-viscosity of the bulk material. Additionally, the micro-force balance concept is utilized with the micro-viscosity to derive a parabolic phase field evolution law that accurately describes the dynamic micro-crack development. Explicit numerical solution schemes are established for the governing equations by developing VUEL and VUMAT subroutines in ABAQUS. This eliminates the convergence issue in implicit phase field modelling. Four typical benchmarks are investigated to validate the proposed model for macroscale and mesoscale heterogeneous problems. It is found that the proposed model can well capture the crack branching, delaying characteristic of micro-crack growth, and increase of macroscopic strength under higher strain rates. Using real meso‑structures from CT images, the complicated dynamic behaviour of concrete is investigated which yields deeper insight into stress wave propagation, crack evolution and load-carrying capacities.
KW - Dynamic fracture mechanisms
KW - Mesoscale concrete
KW - Quasi-brittle materials
KW - Rate dependence
KW - Unified phase field theory
UR - http://www.scopus.com/inward/record.url?scp=85174437333&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2023.116540
DO - 10.1016/j.cma.2023.116540
M3 - Article
AN - SCOPUS:85174437333
VL - 418
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 116540
ER -