Technical Papers
Feb 14, 2017

Modeling and Mesoscale Simulation of Ice-Strengthened Mechanical Properties of Concrete at Low Temperatures

Publication: Journal of Engineering Mechanics
Volume 143, Issue 6

Abstract

Formation of ice plays a key role in the behavior of concrete materials at low temperatures in cold and wet regions. The internal stresses generated during the freeze-thaw process could cause serious damage and other durability problems to concrete structures. However, just concerning the stage while the temperature is below 0°C, ice could reduce the stress concentration in the porous matrix by filling the capillary pores and result in a significant increase of elastic modulus and strength, which is usually beneficial for concrete under mechanical loads (either static or fatigue). Meanwhile, pore pressures at low temperatures will also play an important role in either accelerating or delaying the microcracking. In order to establish a mesoscale approach [which usually treats concrete as a composition of coarse aggregate, mortar, and interfacial transition zone (ITZ) between them] based on the rigid-body spring method (RBSM) for the aforementioned issues, in the first stage, the ice-strengthened elastic properties of the mortar are estimated based on multiscale continuous micromechanics. Then a mesoscale model based on RBSM is developed to simulate the nonlinear mechanical behavior under uniaxial compression, tension, and splitting for concrete, in which the ice-strengthened elastic properties in mortar and ITZ, as well as the pore pressures caused by ice formation, are taken into consideration. The range and tendency of the simulated strength values agree well with experimental data.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors would like to express their sincere thanks to the JSPS (Japan Society of Promotion of Science) Fellowship (D2) for the doctor study and research work. The Grant-in-Aid for Scientific Research (A) of Japan Society of Promotion of Science (No. 26249064), and the Fundamental Research Funds for the Central Universities (Grant No. 513201*172210251) are also greatly appreciated. Finally, the authors would like to express their sincere thanks to the comments of the reviewers, which have led to considerable improvement of the manuscript.

References

ASTM. (1997). “Standard test method for compressive strength of cylindrical concrete specimens.” ASTM C39-86, West Conshohocken, PA.
Benveniste, Y. (1987). “A new approach to the application of Mori-Tanaka’s theory in composite materials.” Mech. Mater., 6(2), 147–157.
Bernard, O., Ulm, F.-J., and Lemarchand, E. (2003). “A multiscale micromechanics-hydration model for the early-age elastic properties of cement-based materials.” Cem. Concr. Res., 33(9), 1293–1309.
Berryman, J. G. (1980). “Long-wavelength propagation in composite elastic media II: Ellipsoidal inclusions.” J. Acoust. Soc. Am., 68(6), 1820–1831.
Biot, M. A. (1941). “General theory of three dimensional consolidation.” J. Appl. Phys., 12(2), 155–164.
Browne, R., and Bamforth, P. (1981). “The use of concrete for cryogenic storage: A summary of research, past and present.” Proc., 1st Int. Conf. on Cryogenic Concrete, Concrete Society, London, 135–166.
Coussy, O., and Monteiro, P. J. (2008). “Poroelastic model for concrete exposed to freezing temperatures.” Cem. Concr. Res., 38(1), 40–48.
David, E. C., and Zimmerman, R. W. (2011). “Compressibility and shear compliance of spheroidal pores: Exact derivation via the Eshelby tensor, and asymptotic expression in limiting cases.” Int. J. Solids Struct., 48(5), 680–686.
Diamond, S., and Huang, J. (2001). “The ITZ in concrete-a different view based on image analysis and SEM observations.” Cem. Concr. Compos., 23(2), 179–188.
Eshelby, J. D. (1957). “The determination of the elastic filed in an ellipsoidal inclusion.” Proc. R. Soc. London, 241(1226), 376–396.
Fagerlund, G. (2002). “Mechanical damage and fatigue effects associated with freeze-thaw of materials.” Proc., 2nd Int. RILEM Workshop on Frost Resistant of Concrete, M. J. Setzer, R. Auberg, and H. J. Keck, eds., RILEM Publications S.A.R.L., Cachan, Paris, 117–132.
Filiatrault, A., and Holleran, M. (2001). “Stress-strain behavior of reinforcing steel and concrete under seismic strain rates and low temperatures.” Mater. Struct., 34 (4), 235–239.
Garboczi, E. J., and Bentz, D. P. (1997). “Analytical formulas for interfacial transition zone properties.” Adv. Cem. Based Mater., 6(3), 99–108.
Ghabezloo, S. (2010). “Association of macroscopic laboratory testing and micromechanics modelling for the evaluation of the poroelastic parameters of a hardened cement paste.” Cem. Concr. Res., 40(8), 1197–1210.
Gong, F., Sicat, E., Ueda, T., and Zhang, D. (2013). “Meso-scale mechanical model for mortar deformation under freeze thaw cycles.” J. Adv. Concr. Technol., 11(2), 49–60.
Gong, F., Sicat, E., Zhang, D., and Ueda, T. (2015a). “Stress analysis for concrete materials under multiple freeze-thaw cycles.” J. Adv. Concr. Technol., 13(3), 124–134.
Gong, F., Wang, Y., Zhang, D., and Ueda, T. (2015b). “Mesoscale simulation of deformation for mortar and concrete under cyclic freezing and thawing stress.” J. Adv. Concr. Technol., 13(6), 291–304.
Gong, F., Zhang, D., Sicat, E., and Ueda, T. (2014). “Empirical estimation of pore size distribution in cement, mortar, and concrete.” J. Mater. Civ. Eng., .
Gong, F. Y., Zhang, D. W., Ueda, T., and Sicat, E. (2015c). “Closure to “Empirical Estimation of Pore Size Distribution in Cement, Mortar, and Concrete” by Fuyuan Gong, Dawei Zhang, Evdon Sicat, and Tamon Ueda.” J. Mater. Civ. Eng., .
Goto, Y., and Miura, T. (1979). “Experimental studies on properties of concrete cooled to about minus 160°C.” Technology Rep., 44(2), 357–385.
Hagymassy, J. J. R., Brunauer, S., and Mikhail, R. S. H. (1969). “Pore structure analysis by water vapour adsorption: I. t-curves for water vapour.” J. Colloid. Interface Sci., 29(3), 485–491.
Hasan, M., Okuyama, H., Sato, Y., and Ueda, T. (2004). “Stress-strain model of concrete damaged by freezing and thawing cycles.” J. Adv. Concr. Technol., 2(1), 89–99.
Hasan, M., Ueda, T., and Sato, Y. (2008). “Stress-strain relationship of frost-damaged concrete subjected to fatigue loading.” J. Mater. Civ. Eng., 37–45.
Hashin, Z., and Shtrikman, S. (1963). “A variational approach to the theory of the elastic behaviour of multiphase materials.” J. Mech. Phys. Solids, 11(2), 127–140.
Hellmich, C., and Mang, H. (2005). “Shotcrete elasticity revisited in the framework of continuum micromechanics: From submicron to meter level.” J. Mater. Civ. Eng., 246–256.
Hershey, A. (1954). “The elasticity of an isotropic aggregate of anisotropic cubic crystals.” J. Appl. Mech., 21(3), 236–240.
Jacobsen, S., Gran, H. C., Sellevold, E. J., and Bakke, J. A. (1995). “High strength concrete-freeze/thaw testing and cracking.” Cem. Concr. Res., 25(8), 1775–1780.
Jacobsen, S., Marchand, J., and Boisvert, L., (1996). “Effect of cracking and healing on chloride transport in OPC concrete.” Cem. Concr. Res., 26(6), 869–881.
Jennings, H. M. (2000). “A model for the microstructure of calcium silicate hydrate in cement paste.” Cem. Concr. Res., 30(1) 101–116.
JSCE (Japan Society of Civil Engineers). (2005). “Standard specification for concrete structures—2002 ‘material and construction’ 6.2.5.3 grading.”, Japan Society of Civil Engineers, Tokyo.
Kasami, H., Tanaka, T., Kishima, Y., and Yamane, S. (1981). “Properties of concrete at very low temperatures.” Proc., 1st Int. Conf. on Cryogenic Concrete, Concrete Society, London, 123–134.
Kawai, T. (1977). “New element models in discrete structure analysis.” J. Soc. Naval Archit. Jpn., 141, 187–193.
Kosaka, Y., Tanigawa, Y., and Kawakami, M. (1975). “Effect of coarse aggregate on fracture of concrete (Part 1).” Trans. Archit. Inst. Jpn., 228, 1–11.
Kroner, E. (1977). “Bounds for effective elastic moduli of disordered materials.” J. Mech. Phys. Solids, 25(2), 137–155.
Lee, G., Shih, T., and Chang, K. (1988a). “Mechanical properties of concrete at low temperature.” J. Cold Reg. Eng., 13–24.
Lee, G., Shih, T., and Chang, K. (1988b). “Mechanical properties of high-strength concrete at low temperature.” J. Cold Reg. Eng., 169–178.
Li, W., Sun, W., and Jiang, J. (2011). “Damage of concrete experiencing flexural fatigue load and closed freeze/thaw cycles simultaneously.” Constr. Build. Mater., 25(5), 2604–2610.
Marshall, A. L. (1982). “Cryogenic concrete.” Cryogenics, 22(11), 555–565.
Matsumoto, K., Sato, Y., and Ueda, T. (2010). “Fracture mechanism and predition of deformation of mortar under time-dependent loads by meso-scale analysis.” J. Mater. Concr. Struct. Pavements, 66(4), 380–398.
Matsumoto, K., Sato, Y., Ueda, T., and Wang, L. (2008). “Mesoscopic analysis of mortar under high-stress creep and low-cycle fatigue loading.” J. Adv. Concr. Technol., 6(2), 337–352.
Montejo, L. A., Sloan, J. E., Kowalsky, M. J., and Hassan, T. (2008). “Cyclic response of reinforced concrete members at low temperatures.” J. Cold Reg. Eng., 79–102.
Mori, T., and Tanaka, K. (1973). “Average stress in matrix and average elastic energy of materials with misfitting inclusions.” Acta Metall., 21(5), 571–574.
Nagai, K., Sato, Y., and Ueda, T. (2004). “Mesoscopic simulation of failure of mortar and concrete by 2D RBSM.” J. Adv. Concr. Technol., 2(3), 359–374.
Nasser, K. W., and Evans, G. A. (1973). “Low temperature effects on hardened air entrained concrete.” ACI Struct. J., 39, 79–90.
Okada, T., and Iguro, M. (1978). “Bending behaviour of prestressed concrete beams under low temperature.” J. Jpn. Prestressed Concr. Eng. Assoc., 208, 15–17.
Ollivier, J., Maso, J., and Bourdette, B. (1995). “Interfacial transition zone in concrete.” Adv. Cem. Based Mater., 2(1), 30–38.
Pichler, B., et al. (2013). “Effect of gel-space ratio and microstructure on strength of hydrating cementitious materials: An engineering micromechanics approach.” Cem. Concr. Res., 45, 55–68.
Pichler, B., and Hellmich, C. (2010). “Estimation of influence tensors for eigenstressed multiphase elastic media with nonaligned inclusion phases of arbitrary ellipsoidal shape.” J. Eng. Mech., 1043–1053.
Pichler, B., and 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.
Pichler, B., Hellmich, C., and Eberhardsteiner, J. (2009). “Spherical and acicular representation of hydrates in a micromechanical model for cement paste: prediction of early-age elasticity and strength.” Acta Mech., 203(3–4), 137–162.
Pichler, B., Scheiner, S., and Hellmich, C. (2008). “From micron-sized needle-shaped hydrates to meter-sized shotcrete tunnel shells: Micromechanical upscaling of stiffness and strength of hydrating shotcrete.” Acta Geotech., 3(4), 273–294.
Powers, T. C. (1945). “A working hypothesis for further studies of frost resistance of concrete.” Proc. ACI, 41(1), 245–272.
Rostasy, F., and Wiedemann, G. (1980). “Stress-strain-behaviour of concrete at extremely low temperature.” Cem. Concr. Res., 10(4), 565–572.
Sanahuja, J., Dormieux, L., and Chanvillard, G. (2007). “Modelling elasticity of a hydrating cement paste.” Cem. Concr. Res., 37(10), 1427–1439.
Scheiner, S., and Hellmich, C. (2009). “Continuum microviscoelasticity model for aging basic creep of early-age concrete.” J. Eng. Mech., 307–323.
Scherer, G. W., and Valenza, J. J., II. (2005). “Mechanisms of frost damage.” Materials science of concrete, J. Skalny and F. Young, eds., Vol. 7, American Ceramic Society, Westerville, OH, 209–246.
Scrivener, K. L., Crumbie, A. K., and Laugesen, P. (2004). “The interfacial transition zone (ITZ) between cement paste and aggregate in concrete.” Interface Sci., 12(4), 411–421.
Sicat, E., Gong, F., Ueda, T., and Zhang, D. (2014). “Experimental investigation of the deformational behavior of the interfacial transition zone (ITZ) in concrete during freezing and thawing cycles.” Constr. Build. Mater., 65, 122–131.
Sun, Z., and Scherer, G. W. (2010). “Effect of air voids on salt scaling and internal freezing.” Cem. Concr. Res., 40(2), 260–270.
Ueda, T., Hasan, M., Nagai, K., Sato, Y., and Wang, L. (2009). “Mesoscale simulation of influence of frost damage on mechanical properties of concrete.” J. Mater. Civ. Eng., 244–252.
Ullah, S., Pichler, B., Scheiner, S., and Hellmich, C. (2012). “Influence of shotcrete composition on load-level estimation in NATM-tunnel shells: Micromechanics-based sensitivity analyses.” Int. J. Numer. Anal. Methods Geomech., 36(9), 1151–1180.
Ulm, F.-J., Constantinides, G., and Heukamp, F. (2004). “Is concrete a poromechanics materials?—A multiscale investigation of poroelastic properties.” Mater. Struct., 37(1), 43–58.
Wang, H., and Li, Q. (2007). “Prediction of elastic modulus and Poisson’s ratio for unsaturated concrete.” Int. J. Solids Struct., 44(5), 1370–1379.
Wang, L., Soda, M., and Ueda, T. (2008). “Simulation of chloride diffusivity for cracked concrete based on RBSM and truss network model.” J. Adv. Concr. Technol., 6(1), 143–155.
Wang, L., and Ueda, T. (2011). “Mesoscale modeling of water penetration into concrete by capillary absorption.” Ocean Eng., 38(4), 519–528.
Wu, T. T. (1966). “The effect of inclusion shape on the elastic moduli of a two-phase material.” Int. J. Solids and Struct., 2(1), 1–8.
Xi, Y., Bažant, Z. P., and Jennings, H. M. (1994). “Moisture diffusion in cementitious materials adsorption isotherms.” Adv. Cem. Based Mater., 1(6), 248–257.
Yaman, I., Aktan, H., and Hearn, N. (2002a). “Active and non-active porosity in concrete. Part II: Evaluation of existing models.” Mater. Struct., 35(2), 110–116.
Yaman, I., Hearn, N., and Aktan, H. (2002b). “Active and non-active porosity in concrete. Part I: Experimental evidence.” Mater. Struct., 35(2), 102–109.
Yang, R., Lemarchand, E., Fen-Chong, T., and Azouni, A. (2015). “A micromechanics model for partial freezing in porous media.” Int. J. Solids Struct., 75–76, 109–121.
Yang, Z. (2004). “Assessing cumulative damage in concrete and quantifying its influence on life cycle performance modeling.” Purdue Univ., West Lafayette, IN.
Zaoui, A. (2002). “Continuum micromechanics: survey.” J. Eng. Mech., 808–816.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 143Issue 6June 2017

History

Received: Nov 25, 2015
Accepted: Nov 1, 2016
Published ahead of print: Feb 14, 2017
Published online: Feb 15, 2017
Published in print: Jun 1, 2017
Discussion open until: Jul 15, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Fuyuan Gong
Researcher, Dept. of Civil Engineering, Univ. of Tokyo, 7 Chome-3-1 Hongo, Bunkyo, Tokyo 113-8654, Japan.
Yi Wang
Graduate Student, Laboratory of Engineering for Maintenance System, Graduate School of Engineering, Hokkaido Univ., 5 Chome Kita 8 Jonishi, Kita Ward, Sapporo, Hokkaido Prefecture 060-0808, Japan.
Tamon Ueda
Professor, Laboratory of Engineering for Maintenance System, Faculty of Engineering, Hokkaido Univ., 5 Chome Kita 8 Jonishi, Kita Ward, Sapporo, Hokkaido Prefecture 060-0808, Japan.
Dawei Zhang [email protected]
Associate Professor, College of Civil Engineering and Architecture, Zhejiang Univ., 38 Zheda Rd., Xihu Qu, Hangzhou Shi, Zhejiang Sheng 310027, China (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share