International Journal for Numerical and Analytical Methods in Geomechanics · 2016 · 29 citations · 32 references
EngineeringCivil EngineeringMaterials EngineeringBuilding MaterialsMaterials CharacterizationMechanical Behavior Of MaterialsCementitious MaterialsConcrete ConstructionConcrete MaterialsConcrete TechnologyAggregate CharacterizationAggregate PropertiesHigh-strength ConcreteRandom Microstructure ModelingVolume Fraction Effects
Summary In order to evaluate analytically the ITZ volume fraction ( f ITZ ) in concrete, a three phase model is proposed for the random concrete microstructure using the Voronoï tessellation. Within this model, the ITZ local thickness is a statistical variable depending on the local paste thickness available between each couple of neighbouring aggregates. The f ITZ is found to not exceed 7% for typical concretes. Then, the concrete Young's modulus is predicted analytically using a four‐phase generalized self consistent model but in which the proposed f ITZ is considered. It is found that the concrete Young's modulus increases when increasing aggregates volume fraction, aggregates maximum size and the proportion of coarse aggregates and when decreasing the ITZ thickness and Young's modulus. Finally, the validity of the proposed model is discussed based on a comparison between its predictions and three sets of experimental results related to normal and high strength concretes taken from literature. Copyright © 2016 John Wiley & Sons, Ltd.
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The Elastic Moduli of Heterogeneous Materials
Zvi Hashin · Journal of Applied Mechanics · 1962 · 1.7K citations
Natural Sciences, Materials Engineering, Materials Science +13