Abstract
This paper presents a new mathematical model that includes the effects of w/c ratios and capillary porosity that was left out in the Abrams formula. Basically, the capillary pores are remnants of water-filled space in between the partially hydrated cement grains, and the gel pores are formed within C-S-H gels, the primary products of hydration. This physiochemical behavior enables us to develop a mathematical strength model to include the effect of capillary porosities and w/c ratios. Nonlinear regression analysis has been applied to solve the equation. To check the adequacy of the proposed model, 34 mixed-batch data taken from published literatures were used as inputs in the analyses. The calculated results reflect a greater accuracy than that obtained from the Abrams Law. A
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