Preparation of Rapid‑Hardening, Early‑Strengthening, High‑Density Composite Cement Based on Dinger–Funk Equation

摘要

This paper develops a new numerical analysis method to achieve rapid-hardening, early-strengthening, high-performancecement-based composite material preparation based on the Dinger–Funk equation of the closest-packing model with MATLABand the Lagrange multiplier method, as several other methods, including theoretical calculations, have many constraintswhen obtaining a solution and direct determination methods that waste much time in evaluating the compactness of cementgel material based on the principle of closest-packing theory. To verify these theoretical results, orthogonal tests are used.The calculated results show that the resulting gradation curve is in good agreement with the theoretical curve from theDinger–Funk equation for the densest packing state (R2 = 97.36%). Experimental results for the dosages of steel slag andfly ash need to be very close to those suggested by the theoretical calculations; however, proper adjustment of the content ofsilica fume is still necessary. Adjusted neat paste has the highest compressive strength of all tested materials. The researchhas concluded that the method is suitable and scientific for designing high-performance, cement-based materials.