Abstract

Strengthening of reinforced concrete (RC) beams with externally bonded fibre reinforced polymer (FRP) plates/sheets technique has become widespread in the last two decades. Although a great deal of research has been conducted on simply supported RC beams, a few studies have been carried out on continuous beams strengthened with FRP composites. This paper presents a simple uniaxial nonlinear finite-element model (UNFEM) that is able to accurately estimate the load-carrying capacity and the behaviour of RC continuous beams flexurally strengthened with externally bonded FRP plates on both of the upper and lower fibres. A 21-degree of freedom element is proposed with layer-discretization of the cross-sections for finite element (FE) modelling. Realistic nonlinear constitutive relations are employed to describe the stress-strain behaviour of each component of the strengthened beam. The FE model is based on nonlinear fracture mechanics. The interfacial shear and normal stresses in the adhesive layer are presented using an analytical uncoupled cohesive zone model with a mixed-mode fracture criterion. The results of the proposed FE model are verified by comparison with various selected experimental measurements available in the literature. The numerical results of the plated beams (beams strengthened with FRP plates) agreed very well with the experimental results. The use of FRP increased the ultimate load capacity up to 100 % compared with the non-strengthened beams as occurred in series (S). The major objective of the current model is to help engineers’ model FRP-strengthened RC continuous beams in a simple manner.

Highlights

  • In recent years, the external bonding of carbon (CFRP) or glass (GFRP) fibre reinforced polymer (FRP) plates/sheets to the beam tension face has become a common practice and is widely used to strengthen or repair structures

  • Experimental studies were conducted to compare the behavior of reinforced concrete (RC) continuous beams strengthened with FRP plates with non-strengthened beams [4,5,6,7,8,9,10,11,12,13,14,15]

  • The research work presented in this paper develops a new uniaxial nonlinear finite-element model that is able to simulate the mechanical behavior of FRP-strengthened RC continuous beams utilizing realistic nonlinear constitutive relations for each strengthened beam component

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Summary

Introduction

The external bonding of carbon (CFRP) or glass (GFRP) FRP plates/sheets to the beam tension face has become a common practice and is widely used to strengthen or repair structures. Barbato [23] ‎proposed a force-based frame FE to estimate the load carrying capacity of supported RC beams strengthened with externally bonded FRP strips and plates. The interfacial shear and normal stresses in the adhesive layer are presented using an analytical uncoupled cohesive zone (CZ) model based on nonlinear fracture mechanics This model introduces accurate predictions for the ultimate load of FRP-strengthened RC continuous beams and; a sound mechanical description and interpretation for failure modes, the innovation of this UNFEM is to reduce the complexity of FE analyses based on existing 2D or 3D FE models constructed using FE packages; and simulates the structural response of the considered beams

Finite Element Modeling
Constitutive Equations of Materials
Element Formulation
Solution Algorithm and Convergence
Plate end Debonding Failure Modes
Prediction of the Ultimate Load-Carrying Capacity
Comparison of the Load-Deflection Response
Comparison of the Failure Mode
Effect of Adhesive Fracture Energy on Moment Redistribution
Conclusions
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