Abstract
Self-compacting concrete (SCC) is special high-performance concrete type with a high flowability that can fill formwork without any mechanical vibration. SCC is being used in high-rise buildings and industrial structures which may be subjected to high temperatures during operation or in case of accidental fire. The proper understanding of the effects of elevated temperatures on the properties of SCC is essential. In this study, constitutive relationships are developed for normal and high-strength self-compacting concrete (NSCC and HSCC) subjected to fire to provide efficient modeling and specify the fire-performance criteria for concrete structures. They are developed for unconfined NSCC and HSCC specimens that include compressive and tensile strengths, elastic modulus, strain at peak stress as well as compressive stress–strain relationships at elevated temperatures. The proposed relationships at elevated temperature are compared with experimental results. These results are used to establish more accurate and general compressive stress–strain relationships. Further experimental results for tension and the other main parameters at elevated temperature are needed in order to establish well-founded models and to improve the proposed constitutive relationships, which are general, rational, and fit well with the experimental results.
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Abbreviations
- σ c :
-
Concrete compressive stress at ambient temperature
- σ :
-
Applied stress
- \(f_{\text{c}}^{\prime }\) :
-
Concrete compressive strength at ambient temperature
- \(\sigma_{\text{cT}}\) :
-
Concrete compressive stress at elevated temperature
- \(f_{\text{cT}}^{\prime }\) :
-
Concrete compressive stress at elevated temperature
- \(\varepsilon_{\text{c}}\) :
-
Concrete strain at ambient temperature
- \(\varepsilon_{\text{c}}^{\prime }\) :
-
Strain at maximum stress for concrete at ambient temperature
- \(\varepsilon_{0}\) :
-
Strain at the elastic limit in compression
- \(\varepsilon_{1}\) :
-
Strain at point of intersection of the two equations defining the stress–strain curve of concrete
- \(\varepsilon_{{\max} }\) :
-
Strain at maximum stress of concrete at elevated temperature
- \(\varepsilon_{\text{th}}\) :
-
Free thermal strain
- \(\varepsilon_{\text{cr}}\) :
-
Creep strain at high temperature
- \(\varepsilon_{\text{tr}}\) :
-
Transient strain
- \(E_{\text{c}}\) :
-
Initial modulus of elasticity at ambient temperature
- E sec :
-
is secant modulus of elasticity
- \(E_{\text{crT}}\) :
-
Initial modulus of elasticity at elevated temperature
- n :
-
A non-dimensional factor that accounts for effect of the weight of concrete on the shape of the stress–strain curve
- T :
-
Fire temperature in degree Celsius (≥20 °C)
- t :
-
Is the age of concrete at testing day
- γ w :
-
Function to account for the effect of moisture content on transient creep strain
- \(\eta_{{{\text{m}},{\text{a}}}}\) :
-
Modified material parameter at the ascending branch
- \(\eta_{{{\text{m}},{\text{d}}}}\) :
-
Modified material parameter at descending branch
- \(\eta\) :
-
Material parameter that depends on the shape of the stress–strain curve
- \(\eta_{{{\text{mT}},{\text{a}}}}\) :
-
Modified material parameter at the ascending branch at elevated temperature
- \(\eta_{{{\text{mT}},{\text{d}}}}\) :
-
Modified material parameter at descending branch at elevated temperature
References
Aslani F, Nejadi S (2012) Mechanical properties of conventional and self-compacting concrete: An analytical study. Constr Build Mater 36:330–347
Aslani F, Nejadi S (2013) Self-compacting concrete incorporating steel and polypropylene fibers: compressive and tensile strengths, moduli of elasticity and rupture, compressive stress–strain curve, and energy dissipated under compression. Compos B 53:121–133
Vanwalleghem H, Blontrock H, Taerwe L (2003) Spalling tests on self-compacting concrete. In: International RILEM symposium on self-compacting concrete, proceedings PRO, V. 33, pp 855–869
Annerel E, Taerwe L, Vandevelde P (2007) Assessment of temperature increase and residual strength of SCC after fire exposure. In: 5th International RILEM symposium on SCC, pp 715–720
Persson B (2004) Fire resistance of SCC. Mater Struct 37:575–584
CERIB (2001) Caractérisation du comportement au feu des Bétons Autoplaçants. Report DT/DCO/2001/29
Étude Feu-Béton, CERIB (2006) ATILH et organisations professionnelles de la construction française (FIB, FFB, FNTP, SNBPE, SYNAD, UNPG), réalisée au CERIB, Rapport final du projet de recherche sur le comportement au feu des bétons
Georgiadis A, Sideris KK, Anagnostopoulos N (2006) Development of anew innovative method, for the production and quality control of self-compacting concrete. Concr Steel J Greece 4:35–45
Noumowe A, Clastres P, Debicki G, Bolvin M (1994) Effect of high temperature on high performance concrete (70–600 °C): strength and porosity. In: VM Malhotra (ed) Proceedings of 3rd CANMET/ACI international conference on durability of concrete, Nice, France, pp 157–172
Diedirichs U, Jumppannen U-M, Penttala V (1992) Behavior of high strength concrete at high temperatures. In: Proceedings on Espoo 1989. Report No. 92. Department of Structural Engineering, Helsinki University of Technology, Finland, pp 15–26
Sanjayan G, Stocks LJ (1993) Spalling of high strength silica fume concrete in fire. ACI Mater J 90(2):170–173
Hertz KD (1992) Danish investigations on silica fume concretes at elevated temperatures. ACI Mater J 89(4):345–347
Lin W-M, Lin TD, Powers-Couche LJ (1996) Microstructures of fire-damaged concrete. ACI Mater J 93(3):199–205
Sideris KK, Manita P, Papageorgiou A, Chaniotakis E (2003) Mechanical characteristics of high performance fibre reinforced concrete at elevated temperatures. In: VM Malhotra (ed) Proceedings of international conference on durability of concrete, Thessaloniki, Greece, CANMET/ACI, SP 212, pp 973–988
Sideris KK (2007) Mechanical characteristics of self-consolidating concretes exposed to elevated temperatures. J Mater Civ Eng 19(8):648–654
Aslani F, Jowkarmeimandi R (2012) Stress–strain model for concrete under cyclic loading. Mag Concr Res 64(8):673–685
Anagnostopoulos N, Sideris KK, Georgiadis A (2009) Mechanical characteristics of self-compacting concretes with different filler materials, exposed to elevated temperatures. Mater Struct 42:1393–1405
ACI Committee 363 (1997) State-of-the-art report on high strength concrete. ACI Committee Report 363R-92
Kodur VKR, Dwaikat MMS, Dwaikat MB (2008) High-temperature properties of concrete for fire resistance modeling of structures. ACI Mater J 105(5):517–527
Schneider U (1985) Properties of materials at high temperatures: concrete. RILEM Committee 44: PHT, University of Kassel, Kassel
Fib Bulletin 46 (2008) Fire design of concrete structures: structural behaviour and assessment. State-of-art report: expertise and assessment of materials and structures after fire, Chap 6
Persson B (2003) Self-consolidating concrete at fire temperatures, TVBM-3110. Lund Institute of Technology, Lund
Abdelalim AMK, Abdel-Aziz GE, El-Mohr MAK, Salama GA (2009) Effect of elevated fire temperature and cooling regime on the fire resistance of normal and self-compacting concretes. Eng Res J 122:63–81
Fares H, Noumowe A, Remond S (2009) Self-consolidating concrete subjected to high temperature: mechanical and physicochemical properties. Cem Concr Res 39:1230–1238
Tao J, Yuan Y, Taerwe L (2010) Compressive strength of self-compacting concrete during high-temperature exposure. J Mater Civ Eng 22(10):1005–1011
Bakhtiyaria S, Allahverdib A, Rais-Ghasemic M, Zarrabid BA, Parhizkarc T (2011) Self-compacting concrete containing different powders at elevated temperatures: mechanical properties and changes in the phase composition of the paste. Thermochim Acta 514:74–81
Annerel E, Taerwe L (2007) Approaches for the assessment of the residual strength of concrete exposed to fire. In: International workshop on fire design of concrete structures-from materials modelling to structural performance, University of Coimbra, pp 489–500
Alonso MC, Sánchez M, Rodriguez C, Barragán B (2008) Durability of SCC reinforced with polymeric fibres: interaction with environment and behaviour against high temperatures. In: 11th International inorganic-bonded fibre composites conferences, pp 227–235
Uysal M (2012) Self-compacting concrete incorporating filler additives: performance at high temperatures. Constr Build Mater 26:701–706
Khaliq W, Kodur V (2011) Thermal and mechanical properties of fiber reinforced high performance self-consolidating concrete at elevated temperatures. Cem Concr Res 41:1112–1122
Malhotra HL (1982) Design of fire-resisting structures. Surrey University Press, London
Khoury GA, Grainger BN, Sullivan PJE (1985) Transient thermal strain of concrete literature review conditions within specimen and behaviour of individual constituents. Mag Concr Res 37:131–144
Tao J, Liu X, Yuan Y, Taerwe L (2008) Experimental research on the transient strain of self-compacting concrete at high temperatures. In: 8th International symposium on utilization of high-strength and high-performance concrete, Tokyo, pp 763–770
Boström L (2003) Self-compacting concrete exposed to fire. In: 3rd International symposium on self-compacting concrete, Iceland, pp 863–869
Fib Bulletin 38 (2007) Fire design of concrete structures: materials, structures and modelling, Chap 7. State-of-art report: mechanical properties
Aslani F, Samali B (2013) Constitutive relationships for steel fiber reinforced concrete at elevated temperatures. Fire Technology 49(1):329–356. doi:10.1007/s10694-012-0322-5
Aslani F, Samali B (2013) High strength polypropylene fibre reinforcement concrete at high temperature. Fire Technology 49(2):135–153. doi:10.1007/s10694-013-0332-y
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Aslani, F., Samali, B. Constitutive relationships for self-compacting concrete at elevated temperatures. Mater Struct 48, 337–356 (2015). https://doi.org/10.1617/s11527-013-0187-1
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DOI: https://doi.org/10.1617/s11527-013-0187-1