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A multi-scale approach for percolation transition and its application to cement setting.
Achutha Prabhu1, Jean-Christophe Gimel2, Andrés Ayuela3,4
1División de Construcción Sostenible, TECNALIA, Parque Tecnológico de Bizkaia, Astondo Bidea, Edificio 700, 48160, Derio, Spain. achutha.prabhu@tecnalia.com.
Cement setting, the transformation of a fluid paste into solid, is a percolation process. Our multi-scale model reveals that only ~12% of calcium-silicate-hydrate bonds between grains are needed for cement to set.
Area of Science:
- Materials Science
- Chemical Engineering
- Physics
Background:
- Cement setting is a critical phenomenon in construction materials.
- It involves the formation of nanoscale hydration products (calcium-silicate-hydrates) that bridge cement grains.
- The transition from a fluid paste to a solid is understood as a percolation process, but bridging micro- and nano-scales has been challenging.
Purpose of the Study:
- To develop a multi-scale model that bridges the gap between cement grain (micron) and nano-hydrate (nanoscale) levels.
- To investigate cement setting as an off-lattice bond percolation process.
- To determine the critical threshold for cement setting and the role of nano-texture.
Main Methods:
- Development of a multi-scale model integrating micron-scale cement grains and nanoscale hydration products.
- Modeling cement setting as an off-lattice bond percolation process.
- Utilizing a kinetic Monte Carlo Nucleation and Growth model to simulate nano-hydrate formation within local observation windows.
Main Results:
- The study identifies cement setting as a percolation phenomenon requiring only a small fraction (~12%) of bonds between cement grains.
- This finding highlights the crucial role of nano-texture in achieving macroscopic setting.
- Simulations indicate that this low hydrate amount is minimally affected by water-to-cement ratio and nonreactive fillers.
Conclusions:
- A predictive theory of cement setting is now feasible by integrating multi-scale information.
- The nano-texture of hydration products is essential for understanding and predicting cement setting.
- Experimental verification supports the model's counter-intuitive predictions regarding the low bond requirement for setting.
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