Dynamic fracture investigation of concrete by a rate-dependent explicit phase field model integrating viscoelasticity and micro-viscosity

authored by: Lu Hai, Peter Wriggers, Yu jie Huang, Hui Zhang, Shi lang Xu
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Ocean University of China
North University of China
Zhejiang University
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 418
No. of pages: 21
ISSN: 0045-7825
Publication date: 01.01.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, Physics and Astronomy(all), Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.cma.2023.116540 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{80ed965e86124ff0bbd0c06bf471f86b,
title = "Dynamic fracture investigation of concrete by a rate-dependent explicit phase field model integrating viscoelasticity and micro-viscosity",
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",
author = "Lu Hai and Peter Wriggers and Huang, {Yu jie} and Hui Zhang and Xu, {Shi lang}",
note = "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. ",
year = "2024",
month = jan,
day = "1",
doi = "10.1016/j.cma.2023.116540",
language = "English",
volume = "418",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
}