Computational investigation of capillary absorption in concrete using a three-dimensional mesoscale approach

Abstract In many exposure environments, capillary absorption of water controls the rate of deterioration of concrete. This paper presents a three-dimensional numerical investigation of capillary absorption by treating concrete as a heterogeneous composite discretised into a cubic lattice. The lattice elements were considered as conductive “pipes” with transport properties assigned based on the phase they represent. The capillary absorption process was described by a non-linear diffusion equation, with the hydraulic diffusivity a non-linear function of the degree of saturation of the composite. A non-linear finite element method was used to solve the governing differential equations. The numerical results were validated against analytical approximations, as well as experimental data from the literature. A sensitivity analysis was then performed to evaluate the effect of heterogeneities produced by aggregate particles on the absorbed water profile and the sorptivity coefficient. It was found that water penetrates concrete in an uneven profile influenced by the amount, spatial distribution and shape of the aggregate particles. Sorptivity decreased when spherical aggregate particles were replaced with ellipsoidal particles due to the consequent increase in tortuosity of the cement paste. This effect increased with increase in aspect ratio and volume fraction of aggregate. However, the size of aggregate particle appears to have an insignificant influence.

[1]  Peter F. Dux,et al.  Sorptivity and the estimation of water penetration into unsaturated concrete , 1999 .

[2]  Nick R. Buenfeld,et al.  Effect of entrained air voids on the microstructure and mass transport properties of concrete , 2011 .

[3]  D. Gardner,et al.  Investigation of capillary flow in discrete cracks in cementitious materials , 2012 .

[4]  P. Bowen,et al.  Changes in portlandite morphology with solvent composition: Atomistic simulations and experiment , 2011 .

[5]  Edward J. Garboczi,et al.  Multiscale Analytical/Numerical Theory of the Diffusivity of Concrete , 1998 .

[6]  Wade Babcock,et al.  Computational materials science , 2004 .

[7]  A. W. Harris,et al.  Mass transport properties of mature wasteform grouts , 2007 .

[8]  Richard A Williams,et al.  A packing algorithm for particles of arbitrary shapes , 2001 .

[9]  K. Scrivener,et al.  The Interfacial Transition Zone (ITZ) Between Cement Paste and Aggregate in Concrete , 2004 .

[10]  Peter F. Dux,et al.  Unsaturated diffusivity functions for concrete derived from NMR images , 2003 .

[11]  Yunping Xi,et al.  Chloride Penetration in Nonsaturated Concrete , 2003 .

[12]  Stefano Berton,et al.  Simulation of shrinkage induced cracking in cement composite overlays , 2004 .

[13]  Margaret Nichols.  Trans , 2015, De-centering queer theory.

[14]  Peter Grassl,et al.  Influence of aggregate size and volume fraction on shrinkage induced micro-cracking of concrete and mortar , 2008, 0811.0019.

[15]  Nicos Martys,et al.  Capillary transport in mortars and concrete , 1997 .

[16]  S. Kamali-Bernard,et al.  Predicting the evolution of mechanical and diffusivity properties of cement pastes and mortars for various hydration degrees – A numerical simulation investigation , 2012 .

[17]  Magazine of Concrete Research , 1964, Nature.

[18]  R. Rosenfeld.  Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[19]  Tamon Ueda,et al.  Mesoscale modeling of water penetration into concrete by capillary absorption , 2011 .

[20]  Nick R. Buenfeld,et al.  Assessing the influence of ITZ on the steady-state chloride diffusivity of concrete using a numerical model , 2009 .

[21]  N. Buenfeld,et al.  Influence of the interfacial transition zone and microcracking on the diffusivity, permeability and sorptivity of cement-based materials after drying , 2009 .

[22]  N. Buenfeld,et al.  Estimating the permeability of cement pastes and mortars using image analysis and effective medium theory , 2012 .

[23]  W. D. Hoff,et al.  Capillary water migration in rock: process and material properties examined by NMR imaging , 1993 .

[24]  G. Osborne.  Cement and Concrete Composites , 1999 .

[25]  P. McDonald,et al.  Lattice Boltzmann simulations of the permeability and capillary adsorption of cement model microstructures , 2012 .

[26]  N. Buenfeld,et al.  Euclidean Distance Mapping for computing microstructural gradients at interfaces in composite materials , 2006 .

[27]  R. Frosch.  Ocean engineering , 1972 .

[28]  M. Stampanoni,et al.  3D experimental investigation of the microstructure of cement pastes using synchrotron X-ray microtomography (μCT) , 2007 .

[29]  S. Kamali-Bernard,et al.  Computer modelling of tritiated water diffusion test for cement based materials , 2009 .

[30]  T. Ueda,et al.  Mesoscale simulation of chloride diffusion in concrete considering the binding capacity and concentration dependence , 2011 .

[31]  Miss A.O. Penney.  (b) , 1974, The New Yale Book of Quotations.

[32]  Z. Bažant,et al.  Modeling Chloride Penetration in Saturated Concrete , 1999 .

[33]  V. Li,et al.  Influence of microcracking on water absorption and sorptivity of ECC , 2009 .

[34]  Nick R. Buenfeld,et al.  EFFECT OF CEMENT CONTENT ON TRANSPORT IN CONCRETE , 1998 .

[35]  J.G.M. van Mier,et al.  Meso-level analysis of moisture flow in cement composites using a lattice-type approach , 1997 .

[36]  Nick R. Buenfeld,et al.  Modelling the diffusivity of mortar and concrete using a three-dimensional mesostructure with several aggregate shapes , 2013 .

[37]  C. Hall,et al.  Water sorptivity of mortars and concretes: a review , 1989 .

[38]  A. Murray Lount.  Computers and Concrete , 1965 .

[39]  William John McCarter,et al.  Absorption of water and chloride into concrete , 1992 .

[40]  Mingzhong Zhang,et al.  Microstructure-based modeling of permeability of cementitious materials using multiple-relaxation-time lattice Boltzmann method , 2013 .

[41]  J. Daian.  Condensation and isothermal water transfer in cement mortar Part I — Pore size distribution, equilibrium water condensation and imbibition , 1988 .

[42]  Edward J. Garboczi,et al.  Effect of the Interfacial Transition Zone on the Conductivity of Portland Cement Mortars , 2004 .

[43]  Jan Carmeliet,et al.  Three‐dimensional liquid transport in concrete cracks , 2004 .

[44]  Theodore T. Saito,et al.  Materials and structures , 1992 .

[45]  P. Gasser,et al.  QUANTIFICATION OF CAPILLARY PORES AND HADLEY GRAINS IN CEMENT PASTE USING FIB-NANOTOMOGRAPHY , 2006 .

[46]  M. Pigeon,et al.  Influence of Microstructure on the Tritiated Water Diffusivity of Mortars , 1998 .

[47]  Mao Yiqi,et al.  Effect of aggregate distribution and shape on failure behavior of polyurethane polymer concrete under tension , 2013 .

[48]  Suzana Caetano da Silva Lannes,et al.  Powder Technology , 2020, Nature.

[49]  C. Hall,et al.  Barrier performance of concrete: A review of fluid transport theory , 1994 .

[50]  Transport in Porous Media Contents of Volume 46 , 2002 .

[51]  N. Pan,et al.  Predictions of effective physical properties of complex multiphase materials , 2008 .

[52]  W. D. Hoff,et al.  Unsaturated water flow within porous materials observed by NMR imaging , 1979, Nature.

[53]  E. Samson,et al.  Modeling the transport of ions in unsaturated cement-based materials , 2007 .

[54]  Mohammadreza Yaghoobi,et al.  Mesoscale finite element prediction of concrete failure , 2011 .

[55]  K. Ramamurthy,et al.  Sorption Characteristics of Foam Concrete , 2007 .

[56]  Cumaraswamy Vipulanandan,et al.  Cement and Concrete Research , 2009 .

[57]  N. Buenfeld,et al.  Characterisation of 'Hadley' grains by confocal microscopy , 2006 .

[58]  ScienceDirect.  Advanced cement based materials , 1993 .

[59]  Richard K. Brow,et al.  Journal of the American Ceramic Society: Introduction , 2002 .

[60]  Christopher Hall,et al.  Effect of non-sorptive inclusions on capillary absorption by a porous material , 1993 .

[61]  W. Jason Weiss,et al.  Water Transport in Concrete Damaged by Tensile Loading and Freeze–Thaw Cycling , 2006 .