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Fitting Function for Flexural Strength of Cement Paste

机译：水泥膏弯曲强度的拟合功能

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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.
机译：存在许多用于压缩强度的分析表达式作为水泥基材料的孔隙率的函数，但只有少数这样的表达用于这些材料的弯曲强度。 在本文中，已经测试了一种用于拟合水合波特兰水泥浆料弯曲强度数据的新功能候选者。 最初在渗透理论的基础上最初为多孔聚合物材料衍生出功能候选。 通过使用Levenberg-Marquardt迭代拟合程序，该功能的参数针对水泥膏进行了优化。 优化的功能能够精确再现所有测量的弯曲数据。 这一事实已通过相关系数的高值和相当低的统计不确定性来证实。 已经表明，这种改进的拟合功能很好地适用于普通波特兰水泥的浆料，也可能与其他水泥材料。

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