30 research outputs found
On the global hydration kinetics of tricalcium silicate cement
We reconsider a number of measurements for the overall hydration kinetics of
tricalcium silicate pastes having an initial water to cement weight ratio close
to 0.5. We find that the time dependent ratio of hydrated and unhydrated silica
mole numbers can be well characterized by two power-laws in time, . For early times we find an `accelerated' hydration
() and for later times a `deaccelerated' behavior (). The crossover time is estimated as . We
interpret these results in terms of a global second order rate equation
indicating that (a) hydrates catalyse the hydration process for , (b)
they inhibit further hydration for and (c) the value of the
associated second order rate constant is of magnitude 6x10^{-7} - 7x10^{-6}
liter mol^{-1} s^{-1}. We argue, by considering the hydration process actually
being furnished as a diffusion limited precipitation that the exponents and directly indicate a preferentially `plate' like hydrate
microstructure. This is essentially in agreement with experimental observations
of cellular hydrate microstructures for this class of materials.Comment: RevTeX macros, 6 pages, 4 postscript figure
A reaction-diffusion model for the hydration/setting of cement
We propose a heterogeneous reaction-diffusion model for the hydration and
setting of cement. The model is based on diffusional ion transport and on
cement specific chemical dissolution/precipitation reactions under spatial
heterogeneous solid/liquid conditions. We simulate the spatial and temporal
evolution of precipitated micro structures starting from initial random
configurations of anhydrous cement particles. Though the simulations have been
performed for two dimensional systems, we are able to reproduce qualitatively
basic features of the cement hydration problem. The proposed model is also
applicable to general water/mineral systems.Comment: REVTeX (12 pages), 4 postscript figures, tarred, gzipped, uuencoded
using `uufiles', coming with separate file(s). Figure 1 consists of 6 color
plates; if you have no color printer try to send it to a black&white
postscript-plotte
A model for reactive porous transport during re-wetting of hardened concrete
A mathematical model is developed that captures the transport of liquid water
in hardened concrete, as well as the chemical reactions that occur between the
imbibed water and the residual calcium silicate compounds residing in the
porous concrete matrix. The main hypothesis in this model is that the reaction
product -- calcium silicate hydrate gel -- clogs the pores within the concrete
thereby hindering water transport. Numerical simulations are employed to
determine the sensitivity of the model solution to changes in various physical
parameters, and compare to experimental results available in the literature.Comment: 30 page
Self-organization and annealed disorder in a fracturing process
We show that a vectorial model for inhomogeneous elastic media self-organizes under external stress. An onset of crack avalanches of every duration and length scale compatible with the lattice size is observed. The behavior is driven by the introduction of annealed disorder, i.e., by lowering the breaking threshold in the neighborhood of a bond broken by the stress, with a process similar to self-organized criticality. A further comparison with experimental results of acoustic emission (AE), shows that the stability of the elastic potential energy of the system in the AE regime is a sufficient condition for reproducing the algebraic distribution of the energy released during cracks formation
Avalanches in Breakdown and Fracture Processes
We investigate the breakdown of disordered networks under the action of an
increasing external---mechanical or electrical---force. We perform a mean-field
analysis and estimate scaling exponents for the approach to the instability. By
simulating two-dimensional models of electric breakdown and fracture we observe
that the breakdown is preceded by avalanche events. The avalanches can be
described by scaling laws, and the estimated values of the exponents are
consistent with those found in mean-field theory. The breakdown point is
characterized by a discontinuity in the macroscopic properties of the material,
such as conductivity or elasticity, indicative of a first order transition. The
scaling laws suggest an analogy with the behavior expected in spinodal
nucleation.Comment: 15 pages, 12 figures, submitted to Phys. Rev. E, corrected typo in
authors name, no changes to the pape