Effets de la variabilité des propriétés de matériaux cimentaires sur les transferts hygrothermiques : développement d’une approche probabiliste

摘要

This study deals with the experimental and the numerical modeling of the variability properties of cement based materials to evaluate their effects on the prediction of hygrothermal behavior of building envelops. A probabilistic approach taking into account the spatial variability of the materials properties during the coupled heat and mass transfer has been developed. It is based on the generation of spatially correlated random fields by the Karhunen Loève decomposition. The stochastic model’s program has been implemented in a numerical simulation code. Using this tool that considers the input variables as random fields, the impact of this variability on the hygrothermal behavior of building envelops was quantified. A prior study dealing with the assessment of the effect of the diffusion coefficient random variability was carried out by considering a variation of ±30% for mortar and ±20% for high performance concrete (HPC) according to a normal distribution. Also, we have identified some possible uncertainties of the water content at saturation and showed their significant impact on the prediction of hygrothermal behavior of the material. These studies highlight the importance of considering the data uncertainties of building materials during numerical simulation of hygrothermal transfers. At the experimental level, the spatial variability of the most influential parameters was evaluated. It was carried out by manufacturing a concrete wall in lab. At the end of this experimental program, the expected value, standard deviation and the correlation length of the studied properties (water porosity, water vapor permeability, sorption isotherm and gas permeability) were determined. These three parameters are important for the successful implementation of Karhunen Loeve decomposition. Also, another experimental program was conducted on cement pastes, mortars and concrete. It was divided into three parts according to the studied properties:(i) Hydrations and microstructural properties which include the measurement of water and mercury porosity, the pore size distributions and an analysis of some techniques for stopping cement hydration.(ii) Hydric properties: where an analysis of the sorption and the water vapor permeability was performed considering their evolution with materials ages, temperature…(iii) Thermal properties where measurement of specific heat and thermal conductivity were performed. The result of the study highlighted the limits of deterministic approaches after their confrontation with the obtained results using the probabilistic one developed in this work.