Abstract
Three-dimensional finite element (FE) thermal and stress models were created to compute the temperature evolution, thermal stress and potential of cracking in a segmental concrete box girder segment during construction. User-defined subroutines were developed in the ANSYS program to activate the degree of hydration-dependent heat rate and material properties, and creep behavior in the thermal and stress calculations. The developed FE model was verified with experimental measurements of a concrete cube. Adiabatic temperature rise, together with compressive strength and splitting tensile strength for a high-strength concrete mix typically used in construction of box girders were tested and incorporated in the subroutines. The effect of casting time and placement season (summer and winter), initial concrete temperature change, and insulation on the risk of cracking in a cast-in-situ box girder segment at early ages was investigated using the proposed model. The results indicate that the temperature difference between the segment’s middle and the gate corner is very large leading to a high cracking risk. Use of an insulation material such as blankets along with casting concrete at the nighttime would significantly lessen the thermal tensile stress and thus could reduce cracking risk in the segment.
Similar content being viewed by others
References
ACI 207.1R-05 (2005) Guide to mass concrete. ACI 207.1R-05, American Concrete Institute, Farmington Hills, MI, USA
ACI 209.2R-08 (2008) Guide for modeling and calculating shrinkage and creep in hardened concrete. ACI 209.2R-08, American Concrete Institute, Farmington Hills, MI, USA
ACI 318-19 (2019) Building code requirements for structural concrete and commentary. ACI 318-19, American Concrete Institute, Farmington Hills, MI, USA
ACI 363R-10 (2010) Report on high-strength concrete. ACI 363R-10, American Concrete Institute, Farmington Hills, MI, USA
ANSYS (2013) ANSYS mechanical APDL material reference release 15.0. ANSYS, Canonsburg, PA, USA
Atrushi D (2003) Tensile and compressive creep of early age concrete: Testing and modeling. PhD Thesis, The Norwegian University of Science and Technology, Trondheim, Norway
Ayotte E, Massicotte B, Houde J, Gocevski V (1997) Modeling the thermal stresses at early ages in a concrete monolith. Materials Journal 94(6):577–587
Ballim Y, Graham P (2003) A maturity approach to the rate of heat evolution in concrete. Magazine of Concrete Research 55(3):249–256
Bazant ZP, Baweja S (2000) Creep and shrinkage prediction model for analysis and design of concrete structures: Model B3. ACI Special Publications 194:1–84
Chang S, Yang M, Sun Y, Liu K (2019) Calculation method of early-age crack width in reinforced concrete bridge through a nonlinear FEA Model. KSCE Journal of Civil Engineering 23(7):3088–3096, DOI: https://doi.org/10.1007/s12205-019-2129-0
Chen B, Ding R, Zheng J, Zhang S (2009) Field test on temperature field and thermal stress for prestressed concrete box-girder bridge. Frontiers of Architecture and Civil Engineering in China 3(2):158–164, DOI: https://doi.org/10.1007/s11709-009-0002-9
Choi YC, Cho YK, Shin K-J, Kwon S-J (2016) Development and application of microcapsule for cement hydration control. KSCE Journal of Civil Engineering 20(1):282–292, DOI: https://doi.org/10.1007/s12205-015-0281-8
Do TA (2013) Finite element modeling of behavior of mass concrete placed on soil. PhD Thesis, University of Florida, Gainesville, FL, USA
Do TA (2014) Influence of footing dimensions on early-age temperature development and cracking in concrete footings. Journal of Bridge Engineering 20(3):06014007
Do TA, Chen H, Leon G, Nguyen T (2019) A combined finite difference and finite element model for temperature and stress predictions of cast-in-place cap beam on precast columns. Construction and Building Materials 217:172–184, DOI: https://doi.org/10.1016/j.conbuildmat.2019.05.019
Do TA, Ha LM, Nguyen QT, Tran TD, Tham TQ (2020a) Evaluation of methods for analyzing early-age cracking risk in concrete walls of tunnel structures. Transport and Communications Science Journal 71(7):746–759, DOI: https://doi.org/10.47869/tcsj.71.7.2
Do TA, Hoang TT, Bui TT, Hoang HV, Do TD, Nguyen PA (2020b) Evaluation of heat of hydration, temperature evolution and thermal cracking risk in high-strength concrete at early ages. Case Studies in Thermal Engineering 21:100658, DOI: https://doi.org/10.1016/j.csite.2020.100658
Do TA, Lawrence A, Tia M, Bergin M (2013) Importance of insulation at the bottom of mass concrete placed on soil with high groundwater. Transportation Research Record: Journal of the Transportation Research Board 2342(1):113–120, DOI: https://doi.org/10.3141/2342-14
Do TA, Lawrence A, Tia M, Bergin M (2014a) Determination of required insulation for preventing early-age cracking in mass concrete footings. Transportation Research Record: Journal of the Transportation Research Board 2441(1):91–97
Do TA, Lawrence AM, Tia M, Bergin MJ (2014b) Effects of thermal conductivity of soil on temperature development and cracking in mass concrete footings. Journal of Testing and Evaluation 43(5): 1078–1090, DOI: https://doi.org/10.1520/JTE20140026
Do TA, Nguyen TH, Vu TX, Hoang TT, Tran TD, Bui TT (2020c) Adiabatic temperature rise and thermal analysis of high-performance concrete bridge elements. In: Reddy J, Wang C, Luong V, Le A (eds) ICSCEA 2019. Springer, Singapore, 413–423
Gibbon G, Ballim Y, Grieve G (1997) A low-cost, computer-controlled adiabatic calorimeter for determining the heat of hydration of concrete. Journal of Testing and Evaluation 25(2):261–266
Gutsch A, Rostasy FS (1995) Young concrete under high tensile stresses — Creep, relaxation and cracking. In: Springenschmid R (ed) Thermal cracking in concrete at early age. E & FN Spon, London, UK
Hansen PF, Pedersen EJ (1977) Maturity computer for controlled curing and hardening of concrete
Hansen PF, Pedersen E (1984) Curing of concrete structures
Hottel HC (1976) A simple model for estimating the transmittance of direct solar radiation through clear atmospheres. Solar Energy 18(2): 129–134, DOI: https://doi.org/10.1016/0038-092X(76)90045-1
Kim SG (2010) Effect of heat generation from cement hydration on mass concrete placement. MSc Thesis, Iowa State University, Ames, IA, USA
Klemczak B (2014) Modeling thermal-shrinkage stresses in early age massive concrete structures — Comparative study of basic models. Archives of Civil and Mechanical Engineering 14:721–733, DOI: https://doi.org/10.1016/j.acme.2014.01.002
Klemczak B, Batog M, Pilch M (2016) Assessment of concrete strength development models with regard to concretes with low clinker cements. Archives of Civil and Mechanical Engineering 16:235–247, DOI: https://doi.org/10.1016/j.acme.2015.10.008
Klemczak B, Flaga K, Knoppik-Wróbel A (2017) Analytical model for evaluation of thermal-shrinkage strains and stresses in RC wall-on-slab structures. Archives of Civil and Mechanical Engineering 17:75–95, DOI: https://doi.org/10.1016/j.acme.2016.08.006
Lin Y, Chen H-L (2015) Thermal analysis and adiabatic calorimetry for early-age concrete members. Journal of Thermal Analysis and Calorimetry 122(2):937–945, DOI: https://doi.org/10.1007/s10973-015-4843-2
Lin Y, Chen H-L (2016) Thermal analysis and adiabatic calorimetry for early-age concrete members. Journal of Thermal Analysis and Calorimetry 124(1):227–239, DOI: https://doi.org/10.1007/s10973-015-5131-x
Liu W, Cao W, Yan H, Ye T, Jia W (2016) Experimental and numerical studies of controlling thermal cracks in mass concrete foundation by circulating water. Applied Sciences 6(4):110, DOI: https://doi.org/10.3390/app6040110
Liu J, Liu Y, Jiang L, Zhang N (2019) Long-term field test of temperature gradients on the composite girder of a long-span cable-stayed bridge. Advances in Structural Engineering 22(13):2785–2798, DOI: https://doi.org/10.1177/1369433219851300
Liu Y, Schindler AK (2020) Finite-element modeling of early-age concrete stress development. Journal of Materials in Civil Engineering 32(1): 04019338
Liu Y, Schindler AK, Davidson JS (2018) Finite-element modeling and analysis of early-age cracking risk of cast-in-place concrete culverts. Transportation Research Record 2672(27):24–36, DOI: https://doi.org/10.1177/0361198118774157
Mills R (1966) Factors influencing cessation of hydration in water cured cement pastes. Highway Research Board Special Report (90)
Nguyen CT, Do TA, Hoang TT, Tran TD (2021) Evaluation of early-age cracking risk in mass concrete footings under different placement conditions. Revista Ingeniería de Construcción 36(1):5–13, DOI: https://doi.org/10.4067/S0718-50732021000100005
Østergaard L, Lange DA, Altoubat SA, Stang H (2001) Tensile basic creep of early-age concrete under constant load. Cement and Concrete Research 31(12):1895–1899, DOI: https://doi.org/10.1016/S0008-8846(01)00691-3
Pan Y, Prado A, Porras R, Hafez OM, Bolander JE (2017) Lattice modeling of early-age behavior of structural concrete. Materials 10(3):231, DOI: https://doi.org/10.3390/ma10030231
Poole JL (2007) Modeling temperature sensitivity and heat evolution of concrete. PhD Thesis, The University of Texas at Austin, Austin, TX, USA
Riding KA, Poole JL, Folliard KJ, Juenger MC, Schindler AK (2012) Modeling hydration of cementitious systems. ACI Materials Journal 109(2):225–234
Schindler AK, McCullough BF (2002) Importance of concrete temperature control during concrete pavement construction in hot weather conditions. Transportation Research Record 1813(1):3–10, DOI: https://doi.org/10.3141/1813-01
Strieder E, Hilber R, Stierschneider E, Bergmeister K (2018) FE-study on the effect of gradient concrete on early constraint and crack risk. Applied Sciences 8(2):246, DOI: https://doi.org/10.3390/app8020246
Tanabe T, Kawasumi M, Yamashita Y (1985) Thermal stress analysis of massive concrete. In: Finite element analysis of reinforced concrete structures. American Society of Civil Engineers, New York, NY, USA
Tia M, Ferraro CC, Lawrence A, Smith S, Ochiai F (2010) Development of design parameters for mass concrete using finite element analysis: Final report. Florida Department of Transportation, Tallahassee, FL, USA
Tia M, Lawrence A, Do TA, Verdugo D, Han S, Almarshoud M, Ferrante B, Markandeya A (2016) Maximum heat of mass concrete-phase 2
Tia M, Lawrence A, Ferraro C, Do TA, Chen Y (2013) Pilot project for maximum heat of mass concrete. Florida Department of Transportation, Tallahassee, FL, USA
Yikici TA, Chen H-L (2015) Numerical prediction model for temperature development in mass concrete structures. Transportation Research Record: Journal of the Transportation Research Board 2508(1):102–110, DOI: https://doi.org/10.3141/2508-13
Yu X, Chen J, Xu Q, Zhou Z (2018) Research on the influence factors of thermal cracking in mass concrete by model experiments. KSCE Journal of Civil Engineering 22(8):2906–2915, DOI: https://doi.org/10.1007/s12205-017-2711-2
Acknowledgments
This work was financially supported by Vietnam National Foundation for Science and Technology Development (NAFOSTED Grant No. 107.02-2016.25).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Do, T.A., Tia, M., Nguyen, T.H. et al. Assessment of Temperature Evolution and Early-Age Thermal Cracking Risk in Segmental High-Strength Concrete Box Girder Diaphragms. KSCE J Civ Eng 26, 166–182 (2022). https://doi.org/10.1007/s12205-021-2148-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12205-021-2148-5