Abstract
Generating a realistic microstructure for a computational grid, which accurately represents heterogeneities while maintaining a computational efficiency, is still an unsolved problem. This paper presents a novel multi-scale approach to mitigate the resolution problems in numerical methods for calculating effective transport properties of porous materials using 3D digital images. The method up-scales sub-voxel information of the fractional occupancy of interface voxels (i.e. voxels containing phase-boundary) in order to increase the accuracy of the pore schematization and hence the accuracy of the numerical transport calculation as well. The method is validated on a simple periodic arrangement of mono-sized particles. The numerical algorithm is implemented within the Hymostruc platform (numerical model for cement hydration and microstructure development) and backed up with a 3D graphics visualization. The new approach significantly reduces computational efforts, is easy to implement, and improves the accuracy of the transport property estimation.
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References
Bentz, D.P., Quenard, D.A., Baroghel-Bouny, V., Garboczi, E.J., Jennings, H.M.: Modelling drying shrinkage of cement paste and mortar Part 1. Structural models from nanometres to millimeters. Mater. Struct. 28, 450–458 (1995)
Bishnoi, S., Scrivener, K.L.: μic: A new platform for modelling the hydration of cements. Cem. Concr. Res. 39, 266–274 (2009)
Bullard, J.W.: A three-dimensional microstructural model of reactions and transport in aqueous mineral systems. Model. Sim. Mat. Sci. Eng. 15, 711–738 (2007)
Cheng, H., Torquato, S.: Effective conductivity of periodic arrays of spheres with interfacial resistance. Proc. R. Soc. Lond. A 453, 145–161 (1997)
Garboczi, E.J., Bentz, D.P.: Multi-scale analytical/numerical theory of the diffusivity of concrete. J. Adv. Cem. Mater. 8, 77–88 (1998)
Garboczi, E.J., Bentz, D.P.: The effect of statistical fluctuation, finite size error, and digital resolution on the phase percolation and transport properties of the NIST cement hydration. Cem. Concr. Res. 31, 1501–1514 (2001)
Koenders, E.A.B.: Simulation of volume changes in hardened cement-based materials. Dissertation, Delft University of Technology (1997)
Koster, M., Hannawald, J., Brameshuber, W.: Simulation of water permeability and water vapor diffusion through hardened cement paste. Comput. Mech. 37, 163–172 (2006)
Pignat, C., Navi, P., Scrivener, K.L.: Simulation of cement paste microstructure hydration, pore space characterization and permeability determination. Mater. Struct. 38, 459–466 (2005)
Torquato, S.: Random Heterogeneous Materials. Springer Science & Business Media, New York (2002)
van Breugel, K.: Simulation of Hydration and Formation of Structure in Hardening Cement-Based Materials. Dissertation, Delft University of Technology (1991)
Zhang, M.Z., He, Y., Ye, G., Lange, D.A., van Breugel, K.: Computational investigation on mass diffusivity in Portland cement paste based on X-ray computed microtomography (μCT) image. Constr. Build. Mat. 27, 472–481 (2012)
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Ukrainczyk, N., Koenders, E.A.B., van Breugel, K. (2013). Mitigating Resolution Problems in Numerical Modeling of Effective Transport Properties of Porous Materials. In: Kringos, N., Birgisson, B., Frost, D., Wang, L. (eds) Multi-Scale Modeling and Characterization of Infrastructure Materials. RILEM Bookseries, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6878-9_27
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DOI: https://doi.org/10.1007/978-94-007-6878-9_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-6877-2
Online ISBN: 978-94-007-6878-9
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