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Experimental and theoretical study on the mechanical behavior of concrete confined by corroded stirrups

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Abstract

The stirrups corrosion reduces the lateral constraint on concrete, and thus degrades the mechanical behavior of confined concrete. In this paper, 39 concrete cylinder specimens confined by stirrups are constructed at three different concrete strength grades. The stirrups are artificially corroded at different levels, in order to investigate the mechanical behavior of concrete confined by corroded stirrups. The corrosion cracks and mass loss of the corroded stirrups are measured, and the load-displacement curves of concrete columns are determined using the axial compression loading test. The bearing capacity of cover concrete and rebars are eliminated using an equivalent strength area conversion technique, in order to obtain the stress–strain curve of confined concrete. The test results demonstrate the degradation of the ultimate stress, and the corresponding strain of the confined concrete with increasing stirrups corrosion level. In addition, an axial compressive stress-strain relationship model of concrete, confined by corroded stirrups, is proposed. A formulation is performed to calculate the loading capacity of the concrete column confined by corroded stirrups. The results show that the mechanical behavior degradation of the low strength grade (C20) confined concrete specimens, are more severe compared to that of the high concrete strength grades (C25 and C30) specimens.

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Abbreviations

a :

Compressive strength correction coefficient of concrete confined by corroded stirrups

\( A_\mathrm{st} \) :

Cross-section area of uncorroded stirrup

\( A_\mathrm{st}^{{{c}}} \) :

Cross-section area of corroded stirrup

b :

Compressive strength correction coefficient of concrete confined by corroded stirrups

c :

Strain correction coefficient of concrete confined by corroded stirrups

d :

Strain correction coefficient of concrete confined by corroded stirrups

\( d_s \) :

Diameter of stirrup between bar centers

D :

Diameter of concrete column

\( E_{c}\) :

Elasticity modulus of concrete

\(E_\mathrm{sec}\) :

Secant modulus of confined concrete at peak stress

\( f_c \) :

Stress at any point on stress–strain curve

\( f_\mathrm{cc}^{\prime {c}} \) :

Compressive strength of concrete confined by corroded stirrups

\( f_\mathrm{cc}^{\prime \mathrm {exp}} \) :

Experimental compressive strength of concrete confined by corroded stirrups

\( f_\mathrm{cc}^{\prime \mathrm {the}} \) :

Theoretical compressive strength of concrete confined by corroded stirrups

\( f_\mathrm{co}^{\prime } \) :

Uniaxial compressive strengths of concrete cylinder

\( f_\mathrm{co}^{\prime {c}} \) :

Compressive strength of cover concrete resulting from stirrups corrosion

\( f_\mathrm{cu} \) :

Compressive strength of concrete cube

\( f_l^{{{c}}} \) :

Transverse effective compressive stress

\( f_\mathrm{yl} \) :

Yield strength of rebar

\( f_\mathrm{ys} \) :

Yield strength of uncorroded stirrups

\( f_\mathrm{ys}^{{{c}}} \) :

Nominal yield strength of corroded stirrups

F :

Faraday constant

I :

Average current intensity

\( k_e \) :

Transverse effective constraint coefficient

\( m_0 \) :

Mass of stirrups prior to corrosion

\( m_r \) :

Mass of stirrups following the removal of the corrosion products

\( m_t \) :

Stirrup target mass loss

\( n_{sl} \) :

Number of rebars

\( N_u^{{{c}}} \) :

Loading capacity of concrete column confined by corroded stirrups

\( p_\mathrm{cp} \) :

Cross-section perimeter of cylindrical specimen

r :

Coefficient used to control the curve shape

s :

Stirrup vertical spacing

\( s^\prime \) :

Stirrup clear vertical spacing

T :

Corrosion duration

\( w_t \) :

Weight loss of stirrups

\( \beta \) :

Yield strength correction coefficient of corroded stirrups

\( \gamma _s \) :

Specific weight of stirrups material

\( \delta \) :

Concrete cover thickness

\( \varepsilon _c \) :

Strain at any point on stress–strain curve

\( \varepsilon _\mathrm{cc}^{{{c}}} \) :

Strain at the maximum stress of concrete confined by corroded stirrups

\( \varepsilon _\mathrm{co} \) :

Strain at the maximum stress of unconfined concrete

\( \varepsilon _{r} \) :

Cover concrete tensile strain caused by stirrups corrosion

\( \zeta \) :

Compressive strength reduction factor

\( \eta _{s} \) :

Mass loss ratio of stirrups

\( \phi _{sl} \) :

Rebar diameter

\( \phi _\mathrm{st} \) :

Stirrup diameter

\( \rho _{sl} \) :

Cross-section area ratio of rebar to core concrete

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Acknowledgements

The work described in this paper was financially supported by the Ministry of Science and Technology of China (No. 2019YFB2102701), the National Natural Science Foundation of China (No. 51378313), the Department of Science and Technology of Guangdong Province (No. 2019B111106002) and the Guangdong Science and Technology Collaborative Innovation Center of Housing and Urban-Rural Development (No. 2018B020207015), to whom the writers are grateful.

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HZ: Conceptualization of this study, Formal analysis, Funding acquistition, Methodology, Project administration, Resources, Supervision, Writing—review and editing. ZZ: Data curation, Investigation, Software, Validation, Visualization, Writing—original draft preparation. JL: Formal analysis, Methodology, Project administration, Investigation. YX: Data curation, Software, Visualization, Writing—original draft preparation. JL: Data curation, Investigation, Software, Visualization. XZ: Data curation, Investigation, Software. FX: Resource, Supervision.

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Correspondence to Haijun Zhou.

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Zhou, H., Zhong, Z., Liu, J. et al. Experimental and theoretical study on the mechanical behavior of concrete confined by corroded stirrups. Mater Struct 55, 108 (2022). https://doi.org/10.1617/s11527-022-01940-w

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