Abstract
To assure high safety levels and functionality over the lifespan of concrete structures (50–100 years), it is important to understand the material’s behavior. As widely known, concrete changes its performance over time typically leading to enhanced material properties if deterioration mechanisms are neglected (e.g. Alkali-Silica Reaction). This contribution considers merely the former aspect of enhanced material properties. The source of the so-called concrete aging is the ongoing hydration of the cement paste, which depends on the environmental conditions and the mix design. Consequently, it is crucial to understand the evolution of concrete properties as a function of the reaction degree. In this contribution, the previous established age-dependent lattice discrete particle model developed by Wan et al. for UHPC is applied to normal and high strength concretes. This model consists of a multi-physics model solving the relevant heat and moisture transport mechanisms as well as the chemical reactions and a discrete particle model which simulates concrete at the meso-scale. These two components are coupled by a set of aging functions, mapping the reaction degree to the meso-scale parameters. The framework is applied to an extensive data-set, including test data of concretes with various compositions and ages between 1 day and 155 days. The experimental data include calorimetric and shrinkage tests, measurements of internal humidity and temperature as well as different kinds of mechanical tests. The framework captures the experimental data well with minor changes in the aging laws. Furthermore, the results indicate a strong dependence of the aging parameters on the cement type.
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References
Ulm FJ, Coussy O (1998) Couplings in early-age concrete: from material modeling to structural design. Int J Solids Struct 35(31):4295–4311. https://doi.org/10.1016/S0020-7683(97)00317-X
CEN: Eurocode 2: Design of concrete structures - Part 1-1: General rules and rules for buildings, vol. BS EN 1992-1-1:2004 (2004)
International Federation for Structural Concrete: \(fib\) Model Code for Concrete Structures 2010. Ernst & Sohn (2013)
Cervera M, Oliver J, Prato T (1999) Thermo-chemo-mechanical model for concrete. I: Hydration and aging. J Eng Mech 125(9):1018–1027. https://doi.org/10.1061/(ASCE)0733-9399(1999)125:9(1018)
Di Luzio G, Cusatis G (2013) Solidification-micro-prestress-microplane (SMM) theory for concrete at early age: theory, validation and application. Int J Solids Struct 50(6):957–975. https://doi.org/10.1016/j.ijsolstr.2012.11.022
Wan-Wendner R, Nincevic K, Boumakis I, Wan-Wendner L (2016) Age-dependent lattice discrete particle model for quasi-static simulations. Key Eng Mater 711:1090–1097. https://doi.org/10.4028/www.scientific.net/KEM.711.1090
Coussy O (1995) Mechanics of porous continua. Wiley, New York
Ulm FJ, Coussy O (1995) Modeling of thermochemomechanical couplings of concrete at early ages. J Eng Mech 121(7):785–794. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:7(785)
Cervera M, Oliver J, Prato T (1999) Thermo-chemo-mechanical model for concrete. II: Damage and creep. J Eng Mech 125(9):1028. https://doi.org/10.1061/(ASCE)0733-9399(1999)125:9(1028)
Kjellsen KO, Detwiler RJ (1991) Reaction kinetics of Portland cement mortars hydrated at different temperatures. Cem Concr Res 2(1):112–120. https://doi.org/10.1016/0008-8846(92)90141-H
Lackner R, Mang HA (2004) Chemoplastic material model for the simulation of early-age cracking: from the constitutive law to numerical analyses of massive concrete structures. Cem Concr Compos 26(5):551–562. https://doi.org/10.1016/S0958-9465(03)00071-4
Gawin D, Pesavento F, Schrefler BA (2006) Hygro-thermo-chemo-mechanical modelling of concrete at early ages and beyond. Part I: Hydration and hygro-thermal phenomena. Int J Numer Methods Eng 67(3):299–311. https://doi.org/10.1002/nme.1615
Bažant Z.P, Hauggaard A.B, Baweja S, Ulm F.J (1997) Microprestress-solidification theory for concrete creep. I: Aging and drying effects. J Eng Mech 123(11):1188–1194. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:11(1188)
Bažant ZP, Prasannan S (1989) Solidification theory for concrete creep. I: Formulation. J Eng Mech 115(8):1691–1703. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:8(1691)
Gawin D, Pesavento F, Schrefler BA (2006) Hygro-thermo-chemo-mechanical modelling of concrete at early ages and beyond. Part II: Shrinkage and creep of concrete. Int J Numer Methods Eng 67(3):332–363. https://doi.org/10.1002/nme.1636
Gamnitzer P, Brugger A, Drexel M, Hofstetter G (2019) Modelling of coupled shrinkage and creep in multiphase formulations for hardening concrete. Materials 12(11):1745. https://doi.org/10.3390/ma12111745
Gamnitzer P, Drexel M, Brugger A, Hofstetter G (2019) Calibration of a multiphase model based on a comprehensive data set for a normal strength concrete. Materials 12(5):791. https://doi.org/10.3390/ma12050791
De Schutter G, Taerwe L (1996) Degree of hydration-based description of mechanical properties of early age concrete. Mater Struct 29(6):335–344. https://doi.org/10.1007/BF02486341
Wan L, Wendner R, Benliang L, Cusatis G (2016) Analysis of the behavior of ultra high performance concrete at early age. Cem Concr Compos 74:120–135. https://doi.org/10.1016/j.cemconcomp.2016.08.005
Di Luzio G, Cusatis G (2009) Hygro-thermo-chemical modeling of high performance concrete. I: Theory. Cem Concr Compos 31(5):301–308. https://doi.org/10.1016/j.cemconcomp.2009.02.015
Di Luzio G, Cusatis G (2009) Hygro-thermo-chemical modeling of high-performance concrete. II: Numerical implementation, calibration, and validation. Cem Concr Compos 31:309–324. https://doi.org/10.1016/j.cemconcomp.2009.02.016
Cusatis G, Mencarelli A, Pelessone D, Baylot J (2011) Lattice discrete particle model (LDPM) for failure behavior of concrete. II: Calibration and validation. Cem Concr Compos 33(9):891–905. https://doi.org/10.1016/j.cemconcomp.2011.02.010
Cusatis G, Pelessone D, Mencarelli A (2011) Lattice discrete particle model (LDPM) for failure behavior of concrete. I: Theory. Cem Concr Compos 33(9):881–890. https://doi.org/10.1016/j.cemconcomp.2011.02.011
Bažant Z, Prasannan S (1989) Solidification theory for concrete creep. II: Verification and application. J Eng Mech 115:1704–1725. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:8(1704)
De Schutter G, Taerwe L (1995) General hydration model for Portland cement and blast furnace slag cement. Cem Concr Res 25(3):593–604. https://doi.org/10.1016/0008-8846(95)00048-H
Marcon M, Vorel J, Nincevic K, Wan-Wendner R (2017) Modeling adhesive anchors in a discrete element framework. Materials 10(8):10080917. https://doi.org/10.3390/ma10080917
Boumakis I, Di Luzio G, Marcon M, Vorel J, Wan-Wendner R (2018) Discrete element framework for modeling tertiary creep of concrete in tension and compression. Eng Fract Mech 200:263–282. https://doi.org/10.1016/j.engfracmech.2018.07.006
Boumakis I, Marcon M, Nincevic K, Czernuschka LM, Wan-Wendner R (2018) Concrete creep and shrinkage effect in adhesive anchors subjected to sustained loads. Eng Struct 175:790–805. https://doi.org/10.1016/j.engstruct.2018.07.067
Alnaggar M, Pelessone D, Cusatis G (2019) Lattice discrete particle modeling of reinforced concrete flexural behavior. J Struct Eng 145:1. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002230
Pathirage M, Bousikhane F, D’Ambrosia M, Alnaggar M, Cusatis G (2018) Effect of alkali silica reaction on the mechanical properties of aging mortar bars: experiments and numerical modeling. Int J Damage Mech 28(2):291–322. https://doi.org/10.1177/1056789517750213
Ceccato C, Salviato M, Pellegrino C, Cusatis G (2017) Simulation of concrete failure and fiber reinforced polymer fracture in confined columns with different cross sectional shape. Int J Solids Struct 108:216–229. https://doi.org/10.1016/j.ijsolstr.2016.12.017
Li W, Zhou X, Carey JW, Frash LP, Cusatis G (2018) Multiphysics lattice discrete particle modeling (M-LDPM) for the simulation of shale fracture permeability. Rock Mech Rock Eng 51(12):3963–3981. https://doi.org/10.1007/s00603-018-1625-8
Del Prete C, Boumakis I, Wan-Wendner R, Vorel J, Buratti N, Mazzotti C (2021) A lattice discrete particle model to simulate the viscoelastic behaviour of macro? synthetic fibre reinforced concrete. Constr Build Mater 295:123630. https://doi.org/10.1016/j.conbuildmat.2021.123630
Cusatis G, Zhou X (2014) High-order microplane theory for quasi-brittle materials with multiple characteristic lengths. J Eng Mech 140:04014046. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000747
Cusatis G, Bažant ZP, Cedolin L (2003) Confinement-shear lattice model for concrete damage in tension and compression: I. Theory. J Eng Mech 129(12):1439–1448. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:12(1439)
Oluokun FA, Burdette EG, Deatherage JH (1990) Early-age concrete strength prediction by maturity—another look. ACI Mater J 87(6):565–572
Plowman J (1956) Maturity and the strength of concrete. Mag Concr Res 8(22):13–22. https://doi.org/10.1680/macr.1956.8.22.13
Saul AGA (1951) Principles underlying the steam curing of concrete at atmospheric pressure. Mag Concr Res 2(6):127–140. https://doi.org/10.1680/macr.1951.2.6.127
Kim JK, Moon YH, Eo SH (1998) Compressive strength development of concrete with different curing time and temperature. Cem Concr Res 28(12):1761–1773. https://doi.org/10.1016/S0008-8846(98)00164-1
Boumiz A, Vernet C, Cohen Tenoudjit F (1996) Mechanical properties of cement pastes and mortars at early ages—evolution with time and degree of hydration. Adv Cem Based Mater 3(3):94–106. https://doi.org/10.1016/S1065-7355(96)90042-5
Dillshad KA (2011) Degree of hydration and strength development of low water-to-cement ratios in silica fume cement system. Int J Civ Environ Eng 11(5):10–15
Powers TC (1958) Structure and physical properties of hardened Portland cement paste. J Am Ceram Soc 41(1):1–6. https://doi.org/10.1111/j.1151-2916.1958.tb13494.x
Wan-Wendner L, Wan-Wendner R, Cusatis G (2018) Age-dependent size effect and fracture characteristics of ultra-high performance concrete. Cem Concr Compos 85:67–82. https://doi.org/10.1016/j.cemconcomp.2017.09.010
Hoover CG, Ulm FJ (2015) Experimental chemo-mechanics of early-age fracture properties of cement paste. Cem Concr Res 75:42–52. https://doi.org/10.1016/j.cemconres.2015.04.004
Hillerborg A (1985) The theoretical basis of a method to determine the fracture energy \(G_F\) of concrete. Mater Struct 18:291–296. https://doi.org/10.1007/BF02472919
CEN: Cement- Part 1: Composition, specifications and conformity criteria for common cements, vol. ÖNORM EN 197-1 (2018)
Stefan L, Benboudjema F, Torrenti JM, Bissonnette B (2010) Prediction of elastic properties of cement pastes at early ages. Comput Mater Sci 47(3):775–784. https://doi.org/10.1016/j.commatsci.2009.11.003
ASTM (2007) Practice for making and curing concrete test specimens in the laboratory, vol. ASTM C192/C192M - 07. ASTM International
ASTM: Specification for mixing rooms, moist cabinets, moist rooms, and water storage tanks used in the testing of hydraulic cements and concretes, vol. ASTM C511 - 09. ASTM International (2009)
ONR: ONR 23303 Prüfverfahren Beton (PVB) Nationale Anwendung der Prüfnormen für Beton und seiner Ausgangsstoffe. Austrian Standards Institute (2010)
DIN: Testing hardened concrete Part 6: Tensile splitting strength of test specimens., vol. DIN EN 12390-6. Beuth Verlag (2009)
Hoover CG, Bažant ZP, Vorel J, Wendner R, Hubler MH (2013) Comprehensive concrete fracture tests: description and results. Eng Fract Mech 114:92–103. https://doi.org/10.1016/j.engfracmech.2013.08.007
RILEM (1985) Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams. Mater Struct 18(106):285–290. https://doi.org/10.1007/BF02472918
Czernuschka LM, Wan-Wendner R, Vorel J (2018) Investigation of fracture based on sequentially linear analysis. Eng Fract Mech 202:75–86. https://doi.org/10.1016/j.engfracmech.2018.08.008
Austrian Standards (2010) Prüfverfahren für Zement - Teil 8: Hydratationswärme - Lösungsverfahren, vol. Deutsche Fassung EN 196-8:2010. Beuth
Abdellatef M, Boumakis I, Wan-Wendner R, Alnaggar M (2019) Lattice discrete particle modeling of concrete coupled creep and shrinkage behavior: a comprehensive calibration and validation study. Constr Build Mater 211:629–645. https://doi.org/10.1016/j.conbuildmat.2019.03.176
Bažant ZP, Najjar L (1972) Nonlinear water diffusion in nonsaturated concrete. Matériaux Constr 5(1):3–20. https://doi.org/10.1007/BF02479073
Habel K, Viviani M, Denarie E, Brühwiler E (2006) Development of the mechanical properties of an ultra-high performance fiber reinforced concrete (UHPFRC). Cem Concr Res 36(7):1362–1370. https://doi.org/10.1016/j.cemconres.2006.03.009
Pichler B, Hellmich C (2011) Upscaling quasi-brittle strength of cement paste and mortar: a multi-scale engineering mechanics model. Cem Concr Res 41(5):467–476. https://doi.org/10.1016/j.cemconres.2011.01.010
Pichler B, Hellmich C, Eberhardsteiner J, Wasserbauer J, Termkhajornkit P, Barbarulo R, Chanvillard G (2013) Effect of gel-space ratio and microstructure on strength of hydrating cementitious materials: an engineering micromechanics approach. Cem Concr Res 45:55–68. https://doi.org/10.1016/j.cemconres.2012.10.019
Mindess S, Young J.F, Lawrence F (1978) Creep and drying shrinkage of calcium silicate pastes I. Specimen preparation and mechanical properties. Cem Concr Res 8(5):591–600. https://doi.org/10.1016/0008-8846(78)90042-X
Acknowledgements
The financial support by the Austrian Federal Ministry of Economy, Family and Youth and the National Foundation for Research, Technology and Development is gratefully acknowledged. The financial support by the Federal Ministry Republic of Austria Climate Action, Environment, Energy, Mobility, Innovation and Technology (BMK), the Austrian Railway (ÖBB), and the Austrian Highway agency (ASFINAG) for the project Austrian Concrete Benchmark is gratefully acknowledged. The financial support of the Austrian Research Promotion Agency (FFG) is gratefully acknowledged. Part of the experimental results used in this contribution are provided by Smart Minerals GmbH, especially the contribution of Dipl. Ing. Dr. Martin Peyerl and Dipl. Ing. Gerald Mayer is gratefully acknowledged. Furthermore, the experimental and numerical contribution from Dr. Marco Marcon is gratefully acknowledged. The computational results presented have been achieved in part using the Vienna Scientific Cluster (VSC). The fourth author would also like to gratefully acknowledge the financial support provided by the GAČR Grant No. 19-15666S.
Funding
Financial support was received from the Christian Doppler Research Agency for the project LiCRofast. Further support was received from the Austrian Research Promotion Agency (FFG) for the project Austrian Concrete Benchmark (Project Number 850554). The fourth author obtained financial support by the GAČR Grant No. 19-15666S. The computational results presented have been achieved [in part] using the Vienna Scientific Cluster (VSC).
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Sinn, LM., Boumakis, I., Ninčević, K. et al. Relationship of LDPM meso-scale parameters and aging for normal and high strength concretes. Mater Struct 55, 219 (2022). https://doi.org/10.1617/s11527-022-01888-x
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DOI: https://doi.org/10.1617/s11527-022-01888-x