Abstract
The corrosion of embedded steel bars in concrete is one of the severe deterioration processes that can escalate the risk and reduce the durability and lifetime of concrete structures. Based on the literature, simultaneous corrosion of longitudinal and transverse bar is considered to estimate section capacity. In this research, a flexible multi-stage approach is proposed to differentiate between corrosion levels on longitudinal and transverse reinforcement based on their corrosion initiating time. The result indicated that the multi-stage approach provides higher capacity and curvature for the sections. A significant reduction in reinforced concrete (RC) sections’ ductility after corrosion of confining bars and before starting corrosion of longitudinal rebars was observed, which illustrates the importance of stirrups corrosion effects on the sections’ ductility. In the higher values of corrosion intensity, confined concrete’s ultimate strain tends to reach the unconfined state. Using the energy-based method of calculating ultimate concrete compressive strain instead of approximate methods, a higher value of curvature ductility of corroded RC cross-sections is obtained.
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Abbreviations
- A 0 :
-
Uncorroded area of bars
- A avg :
-
Mean area of corroded bars
- A(t):
-
Time-dependent area of bars
- C 0 :
-
Equilibrium chloride concentration
- C cr :
-
Critical chloride concentration value (CCV)
- D c :
-
Diffusion coefficient
- D i :
-
Initial diameter of bars
- d s :
-
Center to center diameter of spirals
- D(t):
-
Time-dependent diameter of bars
- E c :
-
Elastic modulus of concrete
- E s :
-
Elastic modulus of corroded bars
- E s0 :
-
Elastic modulus of uncorroded bars
- erf :
-
Gaussian error function
- f c :
-
Longitudinal compressive stress of concrete
- \(f_{cc}^\prime \) :
-
Confined ultimate concrete compressive stress
- \(f_{co}^\prime \) :
-
Quasi-static compressive stress of concrete
- f l :
-
Effective lateral confining pressure
- f s :
-
Steel bar stress
- f sl :
-
Stress in longitudinal bars
- f u :
-
Ultimate stress of corroded bars
- f u0 :
-
Ultimate stress of uncorroded bars
- f y :
-
Yield stress of corroded bars
- f y0 :
-
Yield stress of uncorroded bars
- f yh :
-
Yield strength of transverse bars
- f yh :
-
Yield stress of transverse bars
- i corr :
-
Current density of corrosion per unit area
- n :
-
Number of steel bars
- R :
-
Localized pitting factor
- r corr :
-
Corrosion rate
- s :
-
Clear spacing between spirals
- t :
-
Time of corrosion
- T i :
-
Initiation time of corrosion
- U cc :
-
Areas under confined concrete stress-strain curves
- U co :
-
Areas under unconfined concrete stress-strain curves
- U sc :
-
Energy required maintaining yield in the steel in compression
- U sf :
-
Fracture energy
- U sh :
-
ULtimate strain energy capacity of confining rebar per unit volume of concrete core
- x :
-
Distance from the surface of the concrete
- δ s :
-
Damage index
- ε c :
-
Longitudinal compressive strain in concrete
- ε cc :
-
Concrete strain at peak stress
- ε cu :
-
Ultimate concrete compressive strain
- ε s :
-
Steel bar strain
- ε sf :
-
Fracture strain of transverse bars
- ε sh :
-
Steel strain at hardening
- ε su :
-
Ultimate tensile strain of corroded bars
- ε su0 :
-
Ultimate tensile strain of uncorroded bars
- ρ cc :
-
Ratio of longitudinal bars area to the area of the core of the section
- ρs :
-
Ratio of the transverse steel volume to the confined concrete core
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Reshvanlou, B.A., Nasserasadi, K. & Ahmadi, J. Modified Time-Dependent Model for Flexural Capacity Assessment of Corroded RC Elements. KSCE J Civ Eng 25, 3897–3910 (2021). https://doi.org/10.1007/s12205-021-2113-3
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DOI: https://doi.org/10.1007/s12205-021-2113-3