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Title: Finite element modeling for debonding of FRP-to-concrete interfaces subjected to mixed-mode loading
Authors: Yu, H
Bai, YL
Dai, JG 
Gao, WY
Issue Date: 2017
Source: Polymers, Sept. 2017, v. 9, no. 9, 438, p. 1-20
Abstract: This paper presents finite element (FE) modeling of the debonding behavior of fiber reinforced polymer (FRP)-to-concrete interfaces subject to mixed-mode loading, which is realized through a peeling test of FRP composites externally bonded onto a concrete substrate. A cohesive zone model (CZM) is implemented into the FE model to represent the behavior of the FRP-to-concrete interface. Two element schemes (orthotropic plane stress element and beam element) were employed to simulate the behavior of FRP composite plate in the peeling test. The orthotropic plane stress element scheme, bearing a clear physical background and with an easy definition of the material property parameters following the composite mechanics, is found to be superior to the beam element scheme, and thus is utilized to conduct parametric studies. The influences of the peeling angle, the interfacial parameters (i.e., the configuration of the cohesive zone models, the interfacial damage initiation law (DIL), the interfacial damage evolution law (DEL), the coupling of mode-I and mode-II components), on the mixed-mode failure of the FRP-concrete-interface are carefully investigated. The results showed that the mode I component plays a critical role in the debonding failure of FRP-to-concrete interfaces even when the peeling angle is very small. The failure of FRP-to-concrete interface transits promptly from a mode II-dominated one to a mode I-dominated one when the peeling angle increases to a relatively small value (e.g., 4 degree) and subsequently the peeling force (i.e., the debonding strength of FRP) decreases dramatically. Such mixity of the mode I and mode II components should be appropriately considered for refining the analysis of FRP-strengthened RC beams and the FRP debonding strength design, for which a pure mode II interfacial failure was usually assumed.
Keywords: Cohesive element
Cohesive zone model
Finite element analysis
FRP-to-concrete interface
Mixed-mode loading
Peeling angle
Publisher: MDPI AG
Journal: Polymers 
ISSN: 2073-4360
DOI: 10.3390/polym9090438
Rights: © 2017 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
The following publication Yu, H., Bai, Y. L., Dai, J. G., & Gao, W. Y. (2017). Finite element modeling for debonding of FRP-to-concrete interfaces subjected to mixed-mode loading. Polymers, 9(9), (Suppl. ), 438, - is available at
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