Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Numerical Modeling of the Dynamic Elastic Modulus of Concrete

Version 1 : Received: 10 April 2023 / Approved: 18 April 2023 / Online: 18 April 2023 (11:09:47 CEST)

A peer-reviewed article of this Preprint also exists.

Gidrão, G.M.S.; Carrazedo, R.; Bosse, R.M.; Silvestro, L.; Ribeiro, R.; de Souza, C.F.P. Numerical Modeling of the Dynamic Elastic Modulus of Concrete. Materials 2023, 16, 3955. Gidrão, G.M.S.; Carrazedo, R.; Bosse, R.M.; Silvestro, L.; Ribeiro, R.; de Souza, C.F.P. Numerical Modeling of the Dynamic Elastic Modulus of Concrete. Materials 2023, 16, 3955.

Abstract

This article introduces simulations of theoretical material with controlled properties for the evaluation of the effect of key parameters, as volumetric fractions, elastic properties of each phase and transition zone on the effective dynamic elastic modulus (Ed). The accuracy level of classical homogenization models was checked regarding the prediction of Ed. Numerical simulations were performed with finite element method (FEM) for evaluations of the natural frequencies and their correlation with Ed, through frequency equations. An acoustic test validated the numerical results and obtained the elastic modulus of concretes and mortars at 0.3, 0.5 and 0.7 water-cement ratios (w/c). Hirsch calibrated according to the numerical simulation (x = 0.27) exhibited a realistic behavior for concretes of w/c = 0.3 and 0.5, with 5% error. Nevertheless, for w/c = 0.7, Ed approached Reuss model, similarly to theoretical triphasic materials. Hashin-Shtrikman bounds is not perfectly applied to theoretical biphasic materials under dynamic situations.

Keywords

dynamical properties; dynamic elastic modulus; concrete; mortar; mixture parameters; acoustic test; composite theory

Subject

Engineering, Civil Engineering

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