Dynamic fracture investigation of concrete by a rate-dependent explicit phase field model integrating viscoelasticity and micro-viscosity
•Propose a rate-dependent phase field model considering both viscoelasticity and micro-viscosity;.•Develop VUEL and VUMAT subroutines to integrate the model through explicit numerical solution schemes;.•Successfully predict dynamic tensile behaviour of quasi-brittle concrete material;.•Elucidate com...
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| Published in | Computer methods in applied mechanics and engineering Vol. 418; p. 116540 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.01.2024
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| Subjects | |
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| Abstract | •Propose a rate-dependent phase field model considering both viscoelasticity and micro-viscosity;.•Develop VUEL and VUMAT subroutines to integrate the model through explicit numerical solution schemes;.•Successfully predict dynamic tensile behaviour of quasi-brittle concrete material;.•Elucidate complicated dynamic fracture mechanisms using CT image-based real meso‑structures.
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. |
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| AbstractList | •Propose a rate-dependent phase field model considering both viscoelasticity and micro-viscosity;.•Develop VUEL and VUMAT subroutines to integrate the model through explicit numerical solution schemes;.•Successfully predict dynamic tensile behaviour of quasi-brittle concrete material;.•Elucidate complicated dynamic fracture mechanisms using CT image-based real meso‑structures.
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. |
| ArticleNumber | 116540 |
| Author | Zhang, Hui Huang, Yu-jie Wriggers, Peter Hai, Lu Xu, Shi-lang |
| Author_xml | – sequence: 1 givenname: Lu orcidid: 0000-0003-4374-0730 surname: Hai fullname: Hai, Lu organization: School of Engineering, Ocean University of China, Qingdao, 266100, China – sequence: 2 givenname: Peter orcidid: 0000-0002-2676-1145 surname: Wriggers fullname: Wriggers, Peter organization: Institute for Continuum Mechanics, Leibniz Universität Hannover, Garbsen, 30823, Germany – sequence: 3 givenname: Yu-jie orcidid: 0000-0001-7349-6711 surname: Huang fullname: Huang, Yu-jie email: mpcyujie@nuc.edu.cn organization: School of Environment and Safety Engineering, North University of China, Taiyuan, 030051, China – sequence: 4 givenname: Hui orcidid: 0000-0002-7740-4068 surname: Zhang fullname: Zhang, Hui email: zhangh@nuc.edu.cn organization: School of Environment and Safety Engineering, North University of China, Taiyuan, 030051, China – sequence: 5 givenname: Shi-lang surname: Xu fullname: Xu, Shi-lang organization: Institute of Advanced Engineering Structures, Zhejiang University, Hangzhou, 310058, China |
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| Keywords | Dynamic fracture mechanisms Mesoscale concrete Rate dependence Unified phase field theory Quasi-brittle materials |
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| Snippet | •Propose a rate-dependent phase field model considering both viscoelasticity and micro-viscosity;.•Develop VUEL and VUMAT subroutines to integrate the model... |
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| SubjectTerms | Dynamic fracture mechanisms Mesoscale concrete Quasi-brittle materials Rate dependence Unified phase field theory |
| Title | Dynamic fracture investigation of concrete by a rate-dependent explicit phase field model integrating viscoelasticity and micro-viscosity |
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