Prediction of modulus of elasticity based on micromechanics theory and application to low-strength mortars

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• 作者：F. Duplan ; A. Abou-Chakra ; A. Turatsinze ; G. Escadeillas ; S. Brule ; F. Masse
• 关键词：Modulus of elasticity ; Micromechanics ; Prediction ; Expanded clay mortar ; Rubberized mortar ; Sand mortar
• 刊名：Construction and Building Materials
• 出版年：15 January, 2014
• 年：2014
• 卷：50
• 期：Complete
• 页码：437-447
• 全文大小：2537 K

文摘

The purpose of this article is to present a micro-mechanical modeling approach for multiphase materials made of various inclusions and a matrix. This method is generalized to a composite made of a matrix in which are embedded various inclusions of different radii and properties.

The grain size distribution of each type of inclusion is divided into 1 000 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 properties of the composite are obtained thanks to a loop-type computation of the analytical models described in this article.

The generalized method is presented for both Mori-Tanaka and self-consistent estimates.

A direct application of this modeling approach to cementitious composites is presented. For the Mori-Tanaka estimate, the aggregates are surrounded by a layer of interfacial transition zone (ITZ) and a layer of cement paste, while air bubbles are considered as mono-sized inclusions with no elastic behavior. For the self-consistent estimate, the cement paste and the air bubbles are both considered as additional single-dimensioned spherical inclusions.

A comparison between the experimental and predicted moduli of elasticity is made for typical sand, expanded clay and rubberized mortars with varying volume fractions of aggregates. The predictions show a good agreement with the experimental results for all of the three mortars.