Subcritical Crack Growth in Cementitious Materials Subject to Chemomechanical Deterioration: Numerical Analysis Based on Lattice Model
Publication: Journal of Materials in Civil Engineering
Volume 32, Issue 11
Abstract
The kinetics of subcritical crack growth (SCG) in hardened cement pastes attacked simultaneously by mechanical damage and calcium leaching was experimentally investigated by a novel test approach in a recent study. Anchored at the experimental benchmarks obtained in the macro- and microcharacterization, material modeling and numerical simulation for SCG under calcium leaching were performed. To utilize the unique physical or chemical laws involved in each individual deterioration process, a two-dimensional (2D) discrete model consisting of two orthotropic lattice systems was constructed to approximate mesostructures of the hardened cement pastes. The two lattice systems were interlinked by the physical variable—the porosity of hardened cement pastes—which evolves with the interaction of matrix cracking and cement dissolution. The proposed material model was implemented in Abaqus through user subroutine VUMAT. The artificial time scale, which allows coarse temporal discretization, was used in the numerical framework and served as the basis for a hybrid of implicit and explicit formulation. This discrete model can realistically describe SCG in hardened cement pastes subject to coupled chemomechanical deterioration.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request:
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Python script; and
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ABAUQS inp and VUMAT files.
Acknowledgments
This research is supported by the National Natural Science Foundation for Young Scientists of China (51808113), the National Natural Science Foundation for Young Scientists of Jiangsu Province (BK20180389), and the National Natural Science Foundation (51808113, 51778137, 51978161).
References
ACI (American Concrete Institute). 2008. Building code requirement for structural concrete. ACI 318-08. Farmington Hills, MI: ACI.
Atkinson, B. K. 1984. “Subcritical crack growth in geological materials.” J. Geophys. Res. 89 (B6): 4077–4114. https://doi.org/10.1029/JB089iB06p04077.
Aurenhammer, F. 1991. “Voronoi diagrams—A survey of a fundamental data structure.” Comput. Surv. 23 (3): 345–405. https://doi.org/10.1145/116873.116880.
Bangert, F., D. Kuhl, and G. Meschke. 2001. “Finite element simulation of chemo-mechanical damage under cyclic loading conditions.” Edited by R. de Borst, J. Mazars, G. Pijaudier-Cabot, J. van Mier. Vol. 1 of Fracture mechanics of concrete structures, 145–152. Rotterdam, Netherlands: A.A. Balkema.
Beaudoin, J. J. 1985. “Effect of water and other dielectrics on subcritical crack growth in portland cement paste.” Cem. Concr. Res. 15 (6): 988–994. https://doi.org/10.1016/0008-8846(85)90089-4.
Berner, U. R. 1988. “Modelling the incongruent dissolution of hydrated cement minerals.” Radiochim. Acta 44–45 (2): 387–393. https://doi.org/10.1524/ract.1988.4445.2.387.
Berner, U. R. 1992. “Evolution of pore water chemistry during degradation of cement in a radioactive waste repository environment.” Waste Manage. 12 (2–3): 201–219. https://doi.org/10.1016/0956-053X(92)90049-O.
Bogue, R. H. 1952. La Chimie du ciment Portland: Par RH Bogue. Paris: Eyrolles.
Bolander, J. E., and S. Berton. 2004. “Simulation of shrinkage induced cracking in cement composite overlays.” Cem. Concr. Compos. 26 (7): 861–871. https://doi.org/10.1016/j.cemconcomp.2003.04.001.
Bowen, R. M. 1982. “Compressible porous media models by use of the theory of mixtures.” Int. J. Eng. Sci. 20 (6): 697–735. https://doi.org/10.1016/0020-7225(82)90082-9.
Cusatis, G., A. Mencarelli, D. Pelessone, and J. Baylot. 2011a. “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., A. Mencarelli, D. Pelessone, J. Baylot, and A. Mencarelli. 2011b. “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.
Evans, A. G. 1972. “A method for evaluating the time-dependent failure characteristics of brittle materials—And its application to polycrystalline alumina.” J. Mater. Sci. 7 (10): 1137–1146. https://doi.org/10.1007/BF00550196.
Gérard, B., C. Le Bellego, and O. Bernard. 2002. “Simplified modelling of calcium leaching of concrete in various environments.” Mater. Struct. 35 (10): 632–640. https://doi.org/10.1007/BF02480356.
Gérard, B., G. Pijaudier-Cabot, and C. Laborderie. 1998. “Coupled diffusion-damage modelling and the implications on failure due to strain localisation.” Int. J. Solids Struct. 35 (31–32): 4107–4120. https://doi.org/10.1016/S0020-7683(97)00304-1.
Grassl, P. 2009. “A lattice approach to model flow in cracked concrete.” Cem. Concr. Compos. 31 (7): 454–460. https://doi.org/10.1016/j.cemconcomp.2009.05.001.
Grassl, P., C. Fahy, D. Gallipoli, and S. J. Wheeler. 2015. “On a 2D hydro-mechanical lattice approach for modelling hydraulic fracture.” J. Mech. Phys. Solids 75 (Feb): 104–118. https://doi.org/10.1016/j.jmps.2014.11.011.
Greenberg, S. A., T. N. Chang, and E. Anderson. 1960. “Investigation of colloidal hydrated calcium silicates. I: Solubility products.” J. Phys. Chem. 64 (9): 1151–1157. https://doi.org/10.1021/j100838a012.
Griffiths, D. V., and G. G. W. Mustoe. 2001. “Modelling of elastic continua using a grillage of structural elements based on discrete element concepts.” Int. J. Numer. Methods Eng. 50 (7): 1759–1775. https://doi.org/10.1002/nme.99.
Kuhl, D., F. Bangert, and G. Meschke. 2004. “Coupled chemo-mechanical deterioration of cementitious materials. Part I: Modeling.” Int. J. Solids Struct. 41 (1): 15–40. https://doi.org/10.1016/j.ijsolstr.2003.08.005.
Le Bellégo, C., B. Gérard, and G. Pijaudier-Cabot. 2001a. “Life-time experiments on mortar beams submitted to calcium leaching.” In Creep, shrinkage and durability mechanics of cement and other quasi-brittle materials, 493–498. Amsterdam, Netherlands: Elsevier.
Le Bellégo, C., B. Gérard, and G. Pijaudier-Cabot. 2001b. “Mechanical analysis of concrete structures submitted to an aggressive water attack.” In Proc., 4th Int. Conf. on Fracture Mechanics of Concrete and Concrete Structures, 239–246. Lisse, Netherlands: Swets & Zeitlinger.
Le Bellégo, C., G. Pijaudier-Cabot, B. Gérard, J.-F. Dubé, and L. Molez. 2003. “Coupled mechanical and chemical damage in calcium leached cementitious structures.” J. Eng. Mech. 129 (3): 333–341. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:3(333).
Leite, J. P. B., V. Slowik, and H. Mihashi. 2004. “Computer simulation of fracture processes of concrete using mesolevel models of lattice structures.” Cem. Concr. Res. 34 (6): 1025–1033. https://doi.org/10.1016/j.cemconres.2003.11.011.
Mainguy, M., and O. Coussy. 2000. “Propagation fronts during calcium leaching and chloride penetration.” J. Eng. Mech. 126 (3): 250–257. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:3(250).
Nguyen, V. H., H. Colina, J. M. Torrenti, C. Boulay, and B. Nedjar. 2007. “Chemo-mechanical coupling behaviour of leached concrete. Part I: Experimental results.” Nucl. Eng. Des. 237 (20): 2083–2089. https://doi.org/10.1016/j.nucengdes.2007.02.013.
Potyondy, D. O. 2007. “Simulating stress corrosion with a bonded-particle model for rock.” Int. J. Rock Mech. Min. Sci. 44 (5): 677–691. https://doi.org/10.1016/j.ijrmms.2006.10.002.
Šavija, B., J. Pacheco, and E. Schlangen. 2013. “Lattice modeling of chloride diffusion in sound and cracked concrete.” Cem. Concr. Compos. 42 (Sep): 30–40. https://doi.org/10.1016/j.cemconcomp.2013.05.003.
Schorn, H., and U. Rode. 1989. “3-D-modeling of process zone in concrete by numerical simulation.” In Fracture of concrete and rock, 220–228. New York: Springer.
Tait, R. B., P. R. Fry, and G. G. Garrett. 1987. “Review and evaluation of the double-torsion technique for fracture toughness and fatigue testing of brittle materials.” Exp. Mech. 27 (1): 14–22. https://doi.org/10.1007/BF02318858.
Tennis, P. D., and H. M. Jennings. 2000. “Model for two types of calcium silicate hydrate in the microstructure of portland cement pastes.” Cem. Concr. Res. 30 (6): 855–863. https://doi.org/10.1016/S0008-8846(00)00257-X.
Voyiadjis, G. Z. 2012. Advances in damage mechanics: Metals and metal matrix composites. Amsterdam, Netherlands: Elsevier.
Wan, K., Y. Li, and W. Sun. 2013. “Experimental and modelling research of the accelerated calcium leaching of cement paste in ammonium nitrate solution.” Constr. Build. Mater. 40 (Mar): 832–846. https://doi.org/10.1016/j.conbuildmat.2012.11.066.
Wang, L., and T. Ueda. 2011. “Mesoscale modelling of the chloride diffusion in cracks and cracked concrete.” J. Adv. Concr. Technol. 9 (3): 241–249. https://doi.org/10.3151/jact.9.241.
Wang, W. 2017. “Subcritical crack growth induced by stress corrosion in quasibrittle materials.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Univ. of Pittsburgh.
Wang, W., T. Tong, S. Tan, and Q. Yu. 2017. “Subcritical crack growth in cementitious materials subject to chemomechanical deterioration—Experimental test using specimens of negative geometry.” J. Appl. Mech. 84 (4): 041004. https://doi.org/10.1115/1.4035523.
Williams, D. P., and A. G. Evans. 1973. “A simple method for studying slow crack growth.” J. Test. Eval. 1 (4): 264–270. https://doi.org/10.1520/JTE10015J.
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Received: May 8, 2019
Accepted: Apr 23, 2020
Published online: Aug 22, 2020
Published in print: Nov 1, 2020
Discussion open until: Jan 22, 2021
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