Microporomechanics

Dormieux, Luc; Kondo, Djimédo; Ulm, Franz‐Josef

doi:10.1002/0470032006

Cited by 406 publications

(512 citation statements)

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“…At level I, the poroelastic behavior of the LD and HD C-S-H phases is described by means of classical state equations of microporomechanics [1,10,44]. The mean stresses σ Y induced by the prescribed strains ε Y and the pore pressure p are related as follows:…”

Section: Localizationmentioning

confidence: 99%

Uncertainty propagation of a multiscale poromechanics-hydration model for poroelastic properties of cement paste at early-age

Venkovic¹,

Sorelli²,

Sudret³

et al. 2013

Probabilistic Engineering Mechanics

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The durability of concrete materials with regard to early-age volume changes and cracking phenomena depends on the evolution of the poroelastic properties of cement paste. The ability of engineers to control the uncertainty of the percolation threshold and the evolution of the elastic modulus, the Biot-Willis parameter and the skeleton Biot modulus is key for minimizing the vulnerability of concrete structures at early-age. This work presents original results on the uncertainty propagation and the sensitivity analysis of a multiscale poromechanics-hydration model applied to cement pastes of water-to-cement ratio of 0.40, 0.50 and 0.60. Notably, the proposed approach provides poroelastic properties required to model the behavior of partially saturated aging cement pastes (e.g. autogenous shrinkage) and it predicts the percolation threshold and undrained elastic modulus in good agreement with experimental data. The development of a stochastic metamodel using polynomial chaos expansions allows to propagate the uncertainties of kinetic parameters of hydration, cement phase composition, elastic moduli and morphological parameters of the microstructure. The presented results show that the propagation does not magnify the uncertainty of the single poroelastic properties although, their correlation may amplify the variability of the estimates obtained from poroelastic state equations. In order to reduce the uncertainty of the percolation threshold and that of the poroelastic properties at early-age, engineers need to assess more accurately the apparent activation energy of calcium aluminate and, later on, of the elastic modulus of low density calcium-silicate-hydrate.

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Section: Localizationmentioning

confidence: 99%

Uncertainty propagation of a multiscale poromechanics-hydration model for poroelastic properties of cement paste at early-age

Venkovic¹,

Sorelli²,

Sudret³

et al. 2013

Probabilistic Engineering Mechanics

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“…Given the micromechanical representation chosen for cement paste, see Sect. 2, the Hill tensors follow as (Dormieux et al 2006;Abdalrahman et al 2015)…”

Section: Figmentioning

confidence: 99%

Self-Consistent Channel Approach for Upscaling Chloride Diffusivity in Cement Pastes

et al. 2017

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Chloride ingress into concrete is a major cause for material degradation, such as cracking due to corrosion-induced steel reinforcement expansion. Corresponding transport processes encompass diffusion, convection, and migration, and their mathematical quantification as a function of the concrete composition remains an unrevealed enigma. Approaching the problem step by step, we here concentrate on the diffusivity of cement paste, and how it follows from the microstructural features of the material and from the chloride diffusivity in the capillary pore spaces. For this purpose, we employ advanced self-consistent homogenization theory as recently used for permeability upscaling, based on the resolution of the pore space as pore channels being oriented in all space directions, resulting in a quite compact analytical relation between porosity, pore diffusivity, and the overall diffusivity of the cement paste. This relation is supported by experiments and reconfirms the pivotal role that layered water most probably plays for the reduction of the pore diffusivity, with respect to the diffusivity found under the chemical condition of a bulk solution.Keywords Diffusion · Homogenization · Chlorides · Multiscale modeling · Layered water List of Symbols Mathematical operators divDivergence operator, applied to a vector field div Divergence operator, applied to a second-order tensor field grad Gradient operator on the microscopic observation scale of pore space

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“…Following a dilute scheme-based approach of penny-shaped cracks (considered as spheroid with very low aspect ratio) (see for instance [11] or [7]), it can be shown that:…”

Section: Overall Potential Of the Microcracked Medium In The Presencementioning

confidence: 99%

“…Modeling of such behavior is generally performed by considering purely macroscopic or micromechanically-based damage models (see for instance [1,9,21,12], etc.). Recent developments in homogenization of microcracked media provides now physical and mathematical models for the description of damage-induced anisotropy, as well as cracks closure effects ( [23,24,7]). The above models have been applied for geomaterials including concrete or rock-like media [27].…”

Section: Introductionmentioning

confidence: 99%

“…Before presenting the specific developments carried out in the present study, it is convenient to note that although the use of the concept of prestress in the context of cracks-induced damage modeling with prestress is in several aspects original, various micromechanics-based models already exist in literature but they concern poroelastic damage, strength and/or poroplasticity (see for instance among others [8,2,7,18,15] and references cited herein).…”

Section: Introductionmentioning

confidence: 99%

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A two scale anisotropic damage model accounting for initial stresses in microcracked materials

Levasseur

Collin

Charlier

et al. 2011

Engineering Fracture Mechanics

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a b s t r a c tIn a recent study [15], we proposed a class of isotropic damage models which account for initial stresses. The present paper extends this approach to anisotropic damage due to growth of an arbitrarily penny-shaped microcracks system. The basic principle of the upscaling technique in the presence of initial stress is first recalled. Then, we derive a closed-form expression of the elastic energy potential corresponding to a system of arbitrarily oriented microcracks. It is shown that the coupling between initial stresses and damage is strongly dependent of the microcracks density and orientation. Predictions of the proposed model are illustrated through the investigation of the influence of initial stresses on the material response under non monotonous loading paths. Finally, by considering a particular distribution of microcracks orientation, described by a second order damage tensor, it is shown that the model is a generalization of the macroscopic damage model of Halm and Dragon [9], for which a physically-based interpretation is then proposed.

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Microporomechanics

Cited by 406 publications

References 0 publications

Uncertainty propagation of a multiscale poromechanics-hydration model for poroelastic properties of cement paste at early-age

Uncertainty propagation of a multiscale poromechanics-hydration model for poroelastic properties of cement paste at early-age

Self-Consistent Channel Approach for Upscaling Chloride Diffusivity in Cement Pastes

A two scale anisotropic damage model accounting for initial stresses in microcracked materials

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