Overestimation of ITZ thickness around regular polygon and ellipse aggregate

Scrivener, 1988, A study of the interfacial region between cement paste and aggregate in concrete, 87

Scrivener, 1996, The percolation of pore space in the cement paste/aggregate interfacial zone of concrete, Cem Concr Res, 26, 35, 10.1016/0008-8846(95)00185-9

Chen, 2004, Interfacial transition zone between aggregate and paste in cementitious composites (II): mechanism of formation and degradation of interfacial transition zone microstructure and its influence factors, J Chin Ceram Soc (in Chinese), 32, 70

Garboczi, 1997, Analytical formulas for interfacial transition zone properties, Adv Cem Based Mater, 6, 99, 10.1016/S1065-7355(97)90016-X

Xu, 2014, Prediction of transport behaviors of particulate composites considering microstructures of soft interfacial layers around ellipsoidal aggregate particles, Soft Matter, 10, 627, 10.1039/C3SM52718B

Xu, 2015, Interfacial effect on physical properties of composite media: Interfacial volume fraction with non-spherical hard-core-soft-shell-structured particles, Sci Rep, 5, 10.1038/srep16003

Ma, 2015, Two-scale modeling of transport properties of cement paste: formation factor, electrical conductivity and chloride diffusivity, Comput Mater Sci, 110, 270, 10.1016/j.commatsci.2015.08.048

Head, 2008, Characterising aggregate surface geometry in thin-sections of mortar and concrete, Cem Concr Res, 38, 1227, 10.1016/j.cemconres.2008.04.004

Dehdezi, 2015, Physico-mechanical, microstructural and dynamic properties of newly developed artificial fly ash based lightweight aggregate – rubber concrete composite, Compos Part B-Eng, 79, 451, 10.1016/j.compositesb.2015.05.005

Allison, 2015, Nanoindentation and SEM/EDX characterization of the geopolymer-to-steel interfacial transition zone for a reactive porcelain enamel coating, Compos Part B-Eng, 78, 131, 10.1016/j.compositesb.2015.03.011

Xie, 2015, Experimental study of the interfacial transition zone (ITZ) of model rock-filled concrete (RFC), Cem Concr Compos, 55, 223, 10.1016/j.cemconcomp.2014.09.002

Bentz, 1993, Computer modelling of the interfacial transition zone in concrete, 107

Guises, 2008

Qian, 2012

Torquato, 2009, Dense packings of the platonic and archimedean solids, Nature, 460, 876, 10.1038/nature08239

Xu, 2011, An overlapping detection algorithm for random sequential packing of elliptical particles, Phys A, 390, 2452, 10.1016/j.physa.2011.02.048

Liu, 2014, Analysis of damage development in cement paste due to ice nucleation at different temperatures, Cem Concr Compos, 53, 1, 10.1016/j.cemconcomp.2014.06.007

Liu, 2014, Aggregate shape effect on the diffusivity of mortar: a 3D numerical investigation by random packing models of ellipsoidal particles and of convex polyhedral particles, Comput Struct, 144, 40, 10.1016/j.compstruc.2014.07.022

Bertei, 2014, Modified collective rearrangement sphere-assembly algorithm for random packings of nonspherical particles: towards engineering applications, Powder Technol, 253, 311, 10.1016/j.powtec.2013.11.034

Xu, 2013, Modeling study of the valid apparent interface thickness in particulate materials with ellipsoidal particles, Ind Eng Chem Res, 52, 17171, 10.1021/ie403009c

Xu, 2013, Numerical evaluation of overestimation of the interface thickness around ellipsoidal particle, Theor Appl Mech Lett, 3, 054008, 10.1063/2.1305408

Chen, 2007, Overestimation of the interface thickness around convex-shaped grain by sectional analysis, Acta Mater, 55, 3943, 10.1016/j.actamat.2007.03.009

Ma, 2014, Multi-aggregate approach for modeling interfacial transition zone in concrete, ACI Mater J, 111

Xu, 2015, Strategy for interfacial overlapping degree in multiphase materials with complex convex particles, Powder Technol, 283, 455, 10.1016/j.powtec.2015.06.020

Zhou, 2014, Numerical and statistical analysis of elastic modulus of concrete as a three-phase heterogeneous composite, Comput Struct, 139, 33, 10.1016/j.compstruc.2014.04.007

Koleva, 2008, Correlation of microstructure, electrical properties and electrochemical phenomena in reinforced mortar. Breakdown to multi-phase interface structures. Part II: pore network, electrical properties and electrochemical response, Mater Charact, 59, 801, 10.1016/j.matchar.2007.06.016

Niknezhad, 2015, Towards a realistic morphological model for the meso-scale mechanical and transport behavior of cementitious composites, Compos Part B-Eng, 81, 72, 10.1016/j.compositesb.2015.06.024

Zhu, 2014, Parking simulation of three-dimensional multi-sized star-shaped particles, Model Simul Mater Sci, 22, 035008, 10.1088/0965-0393/22/3/035008

Xu, 2013, Numerical investigation of effect of particle shape and particle size distribution on fresh cement paste microstructure via random sequential packing of dodecahedral cement particles, Comput Struct, 114, 35, 10.1016/j.compstruc.2012.10.009

Gao, 2013, Characterization of ITZ in ternary blended cementitious composites: experiment and simulation, Constr Build Mater, 41, 742, 10.1016/j.conbuildmat.2012.12.051

Wong, 2006, Euclidean distance mapping for computing microstructural gradients at interfaces in composite materials, Cem Concr Res, 36, 1091, 10.1016/j.cemconres.2005.10.003

Gao, 2014, The ITZ microstructure, thickness and porosity in blended cementitious composite: effects of curing age, water to binder ratio and aggregate content, Compos Part B-Eng, 60, 1, 10.1016/j.compositesb.2013.12.021

Chen, 2016, Aggregate shape effect on the overestimation of ITZ thickness: quantitative analysis of Platonic particles, Powder Technol, 289, 1, 10.1016/j.powtec.2015.11.036

Serra, 1988, vol. 2

He, 2010

Chandrupatla, 2010, The perimeter of an ellipse, Math Sci, 35, 122

Santaló, 2004

Wriggers, 2006, Mesoscale models for concrete: homogenisation and damage behaviour, Finite Elem Anal Des, 42, 623, 10.1016/j.finel.2005.11.008

Schlangen, 1992, Simple lattice model for numerical simulation of fracture of concrete materials and structures, Mater Struct, 25, 534, 10.1007/BF02472449

van Mier, 2002, Fracture mechanisms in particle composites: statistical aspects in lattice type analysis, Mech Mater, 34, 705, 10.1016/S0167-6636(02)00170-9

Xu, 2012, Effects of particle size distribution, shape and volume fraction of aggregates on the wall effect of concrete via random sequential packing of polydispersed ellipsoidal particles, Phys A, 392, 416, 10.1016/j.physa.2012.09.014

Scrivener, 2004, The interfacial transition zone (ITZ) between cement paste and aggregate in concrete, Interface Sci, 12, 411, 10.1023/B:INTS.0000042339.92990.4c

Xu, 2013, Theoretical estimation for the volume fraction of interfacial layers around convex particles in multiphase materials, Powder Technol, 249, 513, 10.1016/j.powtec.2013.09.010

Lu, 1992, Nearest-surface distribution functions for polydispersed particle systems, Phys Rev A, 45, 5530, 10.1103/PhysRevA.45.5530

Xu, 2012, Microstructural characterization of fresh cement paste via random packing of ellipsoidal cement particles, Mater Charact, 66, 16, 10.1016/j.matchar.2012.01.012

Xu, 2012, Quantitative characterization of the microstructure of fresh cement paste via random packing of polydispersed Platonic cement particles, Model Simul Mater Sci, 20, 075003, 10.1088/0965-0393/20/7/075003

Feinauer, 2015, Structural characterization of particle systems using spherical harmonics, Mater Charact, 106, 123, 10.1016/j.matchar.2015.05.023

Stroeven, 2009, Particle packing in a model concrete at different levels of the microstructure: evidence of an intrinsic patchy nature, Mater Charact, 60, 1088, 10.1016/j.matchar.2009.02.011

Xu, 2013, Evaluation of mesostructure of particulate composites by quantitative stereology and random sequential packing model of mono-/polydisperse convex polyhedral particles, Ind Eng Chem Res, 52, 6678, 10.1021/ie3025449

Russ, 2001

Underwood, 1970

Christensen, 2012

Torquato, 2005

Zheng, 2014, Differential effective medium theory for the chloride diffusivity of concrete, ACI Mater J, 111, 1

Garboczi, 2001, Elastic moduli of a material containing composite inclusions: effective medium theory and finite element computations, Mech Mater, 33, 455, 10.1016/S0167-6636(01)00067-9

Bernard, 2015, Numerical study of ITZ contribution on mechanical behavior and diffusivity of mortars, Comput Mater Sci, 102, 250, 10.1016/j.commatsci.2015.02.016

Caré, 2004, Application of a n-phase model to the diffusion coefficient of chloride in mortar, Transport Porous Med, 56, 119, 10.1023/B:TIPM.0000021730.34756.40

Zheng, 2012, An n-layered spherical inclusion model for predicting the elastic moduli of concrete with inhomogeneous ITZ, Cem Concr Compos, 34, 716, 10.1016/j.cemconcomp.2012.01.011

Bruggeman, 1935, Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. I. Dielektrizitätskonstanten und Leitfähigkeiten der Mischkörper aus isotropen Substanzen, Ann Phys, 416, 636, 10.1002/andp.19354160705

Montero-Chacón, 2014, Mesomechanical characterization of porosity in cementitious composites by means of a voxel-based finite element model, Comput Mater Sci, 90, 157, 10.1016/j.commatsci.2014.03.066

Liu, 2012, Estimation of the ionic diffusivity of virtual cement paste by random walk algorithm, Constr Build Mater, 28, 405, 10.1016/j.conbuildmat.2011.08.077

Liu, 2013, Microstructure-based modeling of the diffusivity of cement paste with micro-cracks, Constr Build Mater, 38, 1107, 10.1016/j.conbuildmat.2012.10.002

Gao, 2006, Differential effective medium theory for thermal conductivity in nanofluids, Phys Lett A, 348, 355, 10.1016/j.physleta.2005.08.069

Garboczi, 2001, Elastic moduli of a material containing composite inclusions: effective medium theory and finite element computations, Mech Mater, 33, 455, 10.1016/S0167-6636(01)00067-9

Yang, 2002, Approximate migration coefficient of interfacial transition zone and the effect of aggregate content on the migration coefficient of mortar, Cem Concr Res, 32, 1559, 10.1016/S0008-8846(02)00832-3