Consideration of Grain Size Distribution and Interfacial Transition Zone in the Prediction of Elastic Properties of Cementitious Composites
Part of the
book series (RILEM, volume 8)
The purpose of the current article is a micromechanical-based model predicting the elastic properties of cementitious composites exhibiting low elasticity moduli. The model is generalized to composites made of a matrix in which are embedded various spherical concentric inclusions of different radi and properties.
For a given type of aggregate, the grain size distribution is divided into 1 000 discrete elements which volume fractions are determined by linear interpolation.
The following input data needs to be known: the elastic properties, the volume fractions of each phase, and the grain size distribution of each aggregate type. The effective elastic properties of the composite are obtained thanks to a loop-type computation of the analytical model described in this article.
The direct application of this model allows a comparison between experimental and predicted elastic moduli of cement-based mortars made of natural sand and lightweight aggregates.
KeywordsGrain Size Distribution Representative Elementary Volume Cementitious Composite Interfacial Transition Zone Lightweight Aggregate
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Abou-Chakra, A., Cormery, F., Shao, J., Kondo, D.: A micromechanical model of elastoplastic and damage behavior of a cohesive geomaterial. International Journal of Solids and Structures 45(5), 1406–1429 (2008)zbMATHCrossRefGoogle Scholar
Bentz, D., Garboczi, E.: Engineeering and Transport Properties of the Interfacial Transition Zone in Cementitious Composites. RILEM Publications SARL, ENSCachan (1999)Google Scholar
Christensen, R., Lo, K.: Solutions for effective shear properties in three phase sphere and cylinder models. Journal of Mechanics and Physics Solids 27, 315–330 (1979)zbMATHCrossRefGoogle Scholar
Eshelby, J.: The determination of the elastic field of an ellipsoidal inclusion and related problems. Proceedings Royal Society 241, 376–396 (1957)MathSciNetzbMATHCrossRefGoogle Scholar
Herve, E., Zaoui, A.: N-layered inclusion-based micromechanical modelling. International Journal of Engineering Science 31(1), 1–10 (1993)zbMATHCrossRefGoogle Scholar
Hu, J., Stroeven, P.: Properties of the interfacial transition zone in model concrete. Interface Science 12, 389–387 (2004)Google Scholar
Ke, Y., Ortola, S., Beaucour, A., Dumontet, H.: Identification of microstructural characteristics in lightweight aggregate concretes by micromechanical modelling including the interfacial transition zone. Cement and Concrete Research 40(11), 1590–1600 (2010)CrossRefGoogle Scholar
Li, G., Zhao, Y., Pang, S.: Four phase sphere modelling of effective bulk modulus of concrete. Cement and Concrete Research 29, 839–845 (1999)CrossRefGoogle Scholar
Mindess, S.: Interfaces in concrete. Materials Science of Concrete I, 163–180 (1989)Google Scholar
Mori, T., Tanaka, K.: Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 21, 1605–1609 (1973)CrossRefGoogle Scholar
Rilem. Rilem cpc8-tc14: Modulus of elasticity of concrete in compression. Materials and Structures 6(30) (1972)Google Scholar
Sanahuja, J.: Impact de la morphologie structurale sur les performances mécaniques des matériaux de construction: application au plâtre et à la pâte de ciment. Phd Thesis, Annex CGoogle Scholar
Scrivener, K., Nemati, K.: The percolation of pore space in the cement paste/aggregate interfacial zone of concrete. Cement and Concrete Research 26, 35–40 (1996)CrossRefGoogle Scholar
Simeonov, P., Ahmad, S.: Effect of transition zone on the elastic behavior of cement based composites. Cement and Concrete Research 25(1), 165–176 (1995)CrossRefGoogle Scholar
Stock, F., Hannantt, D.J., Williams, R.I.T.: The effect of aggregate concentration upon the strength and modulus of elasticity of concrete. Magazine of Concrete Research 31(109), 225–234 (1979)CrossRefGoogle Scholar
Zheng, J., Jin, X.: Numerical method for predicting young modulus of concrete with aggregate shape effect. Journal of Materials in Civil Engineering 23, 1609–1615 (2011)CrossRefGoogle Scholar