Abstract
The prediction of early age behavior of cementitious materials is of particular importance when it comes to the prediction of the crack occurring risks. Amongst the most important parameters that define the hydrating material are its elastic properties and the changes in volume that arise due to the very reaction of hydration. On a discrete generated microstructure, a percolation – type approach is applied. A forest fire algorithm allows taking into account the binding role played by the hydrates, and it reveals a threshold of hydration below which the rigidity of the concrete is negligible. The evolution of elastic characteristics is obtained by using a homogenization method applied to the percolated microstructure. Autogenous shrinkage is assumed to be due to the rise of a capillary pressure, the latter itself being a consequence of the hydration reaction. The capillary pressure is obtained from a model for desorption isotherm and is applied to the deformable skeleton corresponding to the percolated microstructure. Using this approach and Biot’s theory, it is possible to compute the autogenous shrinkage and its evolution around the threshold of percolation.
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Stefan, L., Benboudjema, F., Torrenti, J.M., Bissonette, B. (2010). Modeling Concrete at Early Age Using Percolation. In: Kuczma, M., Wilmanski, K. (eds) Computer Methods in Mechanics. Advanced Structured Materials, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05241-5_17
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DOI: https://doi.org/10.1007/978-3-642-05241-5_17
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