Assessment of FRP–Concrete Interfacial Debonding with Coupled Mixed-Mode Cohesive Zone Model
Publication: Journal of Composites for Construction
Volume 25, Issue 2
Abstract
External bonding (EB) of fiber–reinforced polymer (FRP) laminates has emerged as a popular method to strengthen reinforced concrete (RC) structures. The premature failure of these structures is induced by debonding across the FRP–concrete interface. The mixed-mode debonding of the FRP–concrete interface will be analyzed by a cohesive zone model (CZM) derived from the modified Mohr–Coulomb strength criterion. The partial derivatives of the normal and tangential stresses that concern the interfacial separations will be presented in this study, which will facilitate the program coding to implement the proposed model. The coupled mixed-mode CZM provided a detailed description of the initial debonding and propagation of the FRP–concrete interface through a full range mixed-mode debonding process. Parametric studies will be conducted to provide a clear understanding of the mixed-mode loading-dependent debonding process of the FRP–concrete interface. The proposed model could be utilized to effectively and efficiently analyze the mixed-mode debonding of the FRP–concrete interface.
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Acknowledgments
This research work was financially supported by grants from the Natural Science Foundation of Jiangsu Province (BK20191441), the National Natural Science Foundation of China (51708485), the Jiangsu Planned Projects for Postdoctoral Research Funds (1701191B), and the China Postdoctoral Science Foundation (2017M611925).
Notation
The following symbols are used in this paper:
- a–c
- variables in the calculation of Δm;
- c0
- cohesion in the Mohr–Coulomb strength criterion;
- d, e
- variables in the calculation of k;
- D
- damage index that describes the damage evolution in mixed-mode conditions;
- ft
- tensile strength of the concrete;
- GI
- energy release rate in the normal direction;
- GIc
- pure mode I fracture energy;
- GII
- energy release rate in the tangential direction;
- GIIc
- pure Mode II fracture energy;
- Kn
- initial stiffness of the cohesive relation in the normal direction;
- Kt
- initial stiffness of the cohesive relationship in the tangential direction;
- k
- damage evolution parameter;
- Le
- effective bond length of the interface;
- lb
- bond length of the FRP plate;
- Pmax
- peak peel load;
- Ppeel
- peeling load at steady state;
- Pshear
- peak load in pure Mode II load condition;
- s
- slip of the interface;
- sm
- slip in the interface that corresponds to the ultimate strength;
- tangential relative displacement at the onset of interfacial softening;
- s0
- upper limit slip of the linear branch of the cohesive relation in the tangential direction;
- tf
- thickness of the FRP plate;
- w
- opening of the interface;
- wm
- opening in the interface that corresponds to the ultimate strength;
- normal relative displacement at the onset of interfacial softening;
- α
- descending slope of the normal cohesive relation characteristic parameter;
- β
- descending slope of the tangential cohesive relation characteristic parameter;
- γ
- mode–mixity ratio;
- Δ
- effective relative displacement under mixed-mode conditions;
- Δm
- effective relative displacement that corresponds to the damage initiation;
- Δu
- effective relative displacement that corresponds to the failure state;
- ζ
- power exponent in PL criterion;
- η
- power exponent in BK criterion;
- θ
- peel angle;
- τ
- shear stress at the interface in the tangential direction;
- τm
- shear strength of the cohesive relationship under pure Mode II condition;
- instantaneous tangential strength under mixed-mode condition;
- σ
- stress at the interface in the normal direction;
- σm
- traction strength of the cohesive relation under pure Mode I condition;
- instantaneous normal strength under mixed-mode condition; and
- φ
- internal friction angle in the Mohr–Coulomb strength criterion.
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Received: Jun 24, 2020
Accepted: Nov 18, 2020
Published online: Jan 11, 2021
Published in print: Apr 1, 2021
Discussion open until: Jun 11, 2021
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