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, Liste des tableaux 2

, 38 2.2 Material and Kinetics Parameters Used in Applications

, Material parameters used in the application

, Material parameters used in the application (stresses are normalized by the

, Young's modulus E 0 of the initial solid phase, and times are normalized by the characteristic ageing time ? )

, by the referenced Young's modulus E 0 , and times are normalized by the characteristic ageing time ? )

, Denomination of the experiments described and their acronyms, p.102

, Average porosity of the samples of cement paste

, Average porosity of the samples of mortar

. .. , Average porosity of the samples of the VeRCoRs concrete, p.105

, Compressive strengths of the cement paste samples at the age of loading=1 day, vol.115

, Compressive strengths of the cement paste samples at the age of loading=3 days, vol.116

, Compressive strengths of the cement paste samples at the age of loading=7 days, vol.116

, Compressive strengths of the cement paste samples at the age of loading=28 days, vol.117

, Compressive strengths of the cement paste samples at the age of loading=90 days, vol.117

, Compressive strengths of the VeRCoRs concrete samples at the age of loading=7 days

, Compressive strengths of the VeRCoRs concrete samples at the age of loading=28 days

, Compressive strengths of the VeRCoRs concrete samples at the age of loading=90 days

, 16 weighing for the different experiments

, Mass evolution for each material and age of loading

. Liste and . Tableaux, Constant mechanical properties of materials at different scales for the VeRCoRs concrete

, Identified parameters at the scale of cement paste

, Identified parameters at the scale of mortar

, Identified parameters at the scale of the VeRCoRs concrete, p.185

. .. C-?-s-?-h-gel, 191 12.2 Mechanical parameters (stiffness and viscosities) for each phase, p.193

, E : Young's modulus, ? : Poisson's ratio, ? : Maxwell characteristic time of sliding sheets), Morphological and mechanical input data (? : aspect-ratio, ? : porosity

, Material Properties of Multi-Ionic Single Particle Model

, 11 (a) Volume fraction evolution of the solid phases (f _s_continue and f _s_discr) in a small mixture REV (blue : discrete volume fraction evolution ; green : continuous volume fraction evolution) ; (b) Relaxation functions (red curves) and elastic moduli (blue : discrete volume fraction evolution ; green : continuous volume fraction evolution) of a small mixture, Equilibrium Constants and Material Properties That Were Fixed in the MultiIonic

, fraction evolution of the small mixture phases (f _sm_continue and f _sm_discr) in the "Low density" hydrates REV (blue : discrete volume fraction evolution ; green : continuous volume fraction evolution) ; (b) Volume fraction evolution of the solid phases in the "Low density" hydrates REV ; (c) Relaxation functions (red curves) and elastic moduli (blue : discrete volume fraction evolution ; green : continuous volume fraction evolution) of outer hydrates, vol.6, p.83

, Mix design of cement paste

, Mix design of the VeRCoRs concrete

, 92 8.6 Photos of the parallelepipedic metal molds (4cm × 4cm × 16cm) (Left : empty molds ; Right : molds during the manufacture of specimens)

.. .. Hobart,

. .. , Equipment to measure the density of manufactured material, p.96

, Equipment to carry out the Marsh Cone Fluidity (EN445) Lab Test, p.97

. .. , Equipment to carry out the Aerometer test (1 liter), p.98

. .. Manual-water-pump,

, Timeline of tests on Bench 1 and Bench

, Timeline of tests on Bench 3 and Bench 4

, Timeline of tests on Bench 5 and Bench 6

, A sample used for the porosity measurements

. .. , Sawing equipment of cement paste and mortar specimens, p.107

, Instrumentation stand with the mounting brackets

, Scope of delivery for Glue X60 (SG)

, Re-sealing the windows with the X60 glue

, Left : upper plate (with the ball joint at the back)

, Small size NDC specimen completely sealed

, Compressive strength test on cement paste on the MTS press of the laboratory, vol.115

. .. Cea-lecba, Compressive strength test on the VeRCoRs concrete at, p.116

, Evolution of the Young's modulus of the samples of cement paste, p.119

. .. , Evolution of the Young's modulus of the samples of mortar, p.119

, Evolution of the Young's modulus of the samples of the VeRCoRs concrete, p.120

, Autogenous shrinkage and creep specimens on a big test bench, p.120

, Screw/nut system used to adjust the range of the displacement sensors, p.121

, 20 Final configuration of a small NDS specimen

, Example : temperature evolution of the environment of the creep experiment (the VeRCoRs concrete with the age of loading = 90 days)

. .. , Example : longitudinal displacement evolution of the specimen (Left : under load period, Right : unload period, mortar with the age of loading = 7 days), p.133

, Example : comparison of the evolution of the temperature as a function of the real time and as a function of the reference temperature (the VeRCoRs concrete with the age of loading = 90 days)

, Right : the total strain of the creep and the basic creep, mortar with the age of loading = 7 days), Example : strain evolution of the specimen (Left : the shrinkage strain

. .. , Example : strain/stress evolution of the specimen (Left : under load period, Right : recovery period, mortar with the age of loading = 7 days), p.136

, Example : Comparison of the strain/stress evolution with and without the correction of time, the VeRCoRs concrete with the age of loading = 90 days), p.137

, Compliance evolution : loading age effect (t0 = age at the end of loading ramp), p.138

, Flowchart of the Nonlinear Least Squares Optimization

. .. , Response of a stress ramp followed by a constraint stress load : experimental result (dotted line) and analytical result (continuous line), p.148

, Example : evolution of E(t 0 ) as functions of t 0 , scale of VeRCoRs concrete, p.149

, Example : evolution of C(t 0 ) as functions of t 0 , scale of VeRCoRs concrete, p.149

, Example : evolution of ? (t 0 ) as functions of t 0 , scale of VeRCoRs concrete, p.150

, Example : evolution of the basic creep compliance and comparison of the modeling results with the experimental results, scale of VeRCoRs concrete, t 0 = 7 days

, Example : evolution of the basic creep compliance and comparison of the modeling results with the experimental results, scale of VeRCoRs concrete, t 0 = 28 days

, Example : Effective uniaxial compliance [157] functions of mortar (w/c = 0.525), plotted for age of loading t 0 =28 days. Comparison between the experimental results on mortar (2 dotted lines) and the upscaling using the Mori-Tanaka homogenization scheme (green continuous line based on the parameters as functions of t 0, Example : evolution of the basic creep compliance and comparison of the modeling results with the experimental results, scale of VeRCoRs concrete, t 0 = 90 days

. .. Maxwell-wiechert-model, 13 Example : Effective uniaxial compliance [157] functions of mortar (w/c = 0.525) based on the generalized Maxwell model, plotted for age of loading t 0 =90 days. Comparison between the experimental results on mortar (2 dotted lines) and the upscaling using the Mori-Tanaka homogenization scheme

. .. , 161 11.16 Example : Basic creep compliance evolution of the specimen. Left : logarithmic function result, Flowchart of the Nonlinear Least Squares Optimization

. .. , 18 Example : evolution of C(t 0 ) as function of t 0 , cement paste scale, Example : evolution of E(t 0 ) as function of t 0 , cement paste scale, vol.163, p.167

, Example : evolution of the basic creep compliance and comparison of the modeling results with the experimental results, p.168

, 169 11.24 Example : evolution of C(t 0 ) of the two creep test benches as functions of t 0 , cement paste scale, Example : evolution of E(t 0 ) of the two creep test benches as functions of t 0 , cement paste scale

, Example : evolution of ? (t 0 ) of the two creep test benches as functions of t 0 , cement paste scale

, Evolution of displacement measured by the 3 LVDT displacement sensors installed on the Bench 2 for the creep experiment at cement paste scale with the age of loading t 0 = 90 days

, 175 11.30 Example : evolution of the basic creep compliance and comparison of the modeling results with the experimental results, mortar scale, Difference between the initial tangent modulus and the secant modulus, vol.176

, Example : evolution of the basic creep compliance and comparison of the modeling results with the experimental results, mortar scale, t 0 = 90 days, p.177

, Example : evolution of the basic creep compliance and comparison of the modeling results with the experimental results, mortar scale, t 0 = 365 days, p.177

, Example : evolution of E(t 0 ) of the Creep test as functions of t 0 with comparison of two methods to identify the experimental value E(t 0 ), scale of mortar, p.178

, Example : evolution of E(t 0 ) of the two creep test benches as functions of t 0 , the VeRCoRs concrete scale

, Example : evolution of C(t 0 ) of the two creep test benches as functions of t 0 , the VeRCoRs concrete scale

, Example : evolution of ? (t 0 ) of the two creep test benches as functions of t 0 , the VeRCoRs concrete scale

, Evolution of loaded force, of temperature and of displacement measured by the 3 LVDT displacement sensors installed on the Bench 2 for the creep experiment at the scale of the VeRCoRs concrete with the age of loading t 0 = 28 days, p.180

, Example : evolution of ? (t 0 ) of the two creep test benches as functions of t 0 , the VeRCoRs concrete scale

, Example : evolution of E(t 0 ) of the Creep test as functions of t 0 with comparison of simple compression test results and of two methods to identify the experimental value E(t 0 ), scale of the VeRCoRs concrete

, Uniaxial creep compliance rate for cement paste samples loaded at different ages. Dots are experimental data. Lines are obtained from hybrid models of creep for C(t 0 )

, Uniaxial creep compliance rate for mortar samples loaded at different ages. Dots are experimental data. Lines are obtained from hybrid models of creep for C(t 0 ), p.183

, Uniaxial creep compliance rate for the VeRCoRs concrete samples loaded at different ages. Dots are experimental data. Lines are obtained from hybrid models of creep for C(t 0 )

]. .. , 193 12.3 Comparisons between ageing creep compliance modeling results and basic creep experimental results

, Multiscale morphological model of cement paste (schematic 2D representation of 3D model)

, Snapshots at hydration degrees ? = 0, 0.4, 0.7 of time-dependent morphological models of hydrating cement paste (schematic 2D representation of 3D model)

, Progressive transformation of anhydrous to inner products and densification of outer products due to precipitation of hydrates (AIO, anhydrous-inner-outer) is considered

, Uniaxial creep compliance of C-S-H gel (non ageing linear viscoelastic), anhydrous and aggregates (both elastic)

, Uniaxial basic creep compliance of cement paste of the VeRCoRs concrete for loadings at t 0 = 1, 3, 7, 28, 90 days, as a function of time. Blue line : modelled using the anhydrous-inner-outer (AIO) morphology at the paste scale. Cyan line : experimental data from EDF described in the Part II

. .. , Illustration of the REV in one-dimensional spherical coordinate system, p.205

. .. , Normalized position of the interface S(t), function of time, p.209

, Normalized concentration of the ion at the interface ? interf ace (t), function of time, vol.209

, Comparison of the time and the normalized concentration of the ion at the interface ? as functions of ?