Fitting Function for Flexural Strength of Cement Paste

World Multidisciplinary Civil Engineering-Architecture-Urban Planning Symposium - WMCAUS

土木建筑工程

Ficker, Tomá^1

Brno University of Technology, Faculty of Civil Engineering, Veveí 95, Brno

CZ-602 00, Czech Republic^1

关键词: Analytical expressions;    Cement based material;    Cementitious materials;    Correlation coefficient;    Iterative fitting procedures;    Ordinary Portland cement;    Portland cement paste;    Statistical uncertainty;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/245/3/032008/pdf
DOI  :  10.1088/1757-899X/245/3/032008

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

There are many analytical expressions for compressive strength as functions of porosity of cement-based materials but only a few such expressions exist for flexural strength of these materials. In the present paper a new functional candidate for fitting the data of flexural strength of hydrated Portland cement paste has been tested. The functional candidate has been initially derived for porous polymeric materials on the basis of the percolation theory. The parameters of this function have been optimized for the cement paste by using the Levenberg-Marquardt iterative fitting procedure. The optimized function has been capable of accurate reproducing all the measured flexural data. This fact has been confirmed by a high value of the correlation coefficient and rather low values of statistical uncertainties. It has been shown that this modified fitting function is well applicable to the pastes of ordinary Portland cements and probably to other cementitious materials, too.