Abstract The internal curing technology has been widely applied to high-strength concrete, for it can make the high-strength concrete marked by low shrinkage and durable frost resistance. The key to its extension and application lies in the reasonable mixing amount of internal curing materials. To address this problem, scholars have proposed a method for determining the water demand in internal curing; however, the water release of internal curing materials is difficult to obtain by measurement due to the mixing method. Therefore, this paper proposed a calculation model for the mixing amount of internal curing materials based on the modified MULTIMOORA method (Multi-Objective Optimization on the basis of Ratio Analysis plus full multiplicative form). First, different internal curing materials (super absorbent polymer (SAP), lightweight aggregate (LWA)) and pretreatment methods were selected to calculate their compressive strength, self-shrinkage and frost durability according to a proposed test scheme on the mixing amount of internal curing materials, and in such case, the comprehensive performance evaluation of the above indexes was turned into a multi-attribute decision-making problem. Second, the ordered weighted averaging (OWA) method and the entropy weight method were used to determine the subjective and objective weights of the indexes respectively, to eliminate the impact of outliers in the subjective evaluation values. Finally, the comprehensive performance of each test group was sorted using MULTIMOORA, and based on the sorting results and the calculation model, the mixing amount of internal curing materials was determined. The numerical example application results showed that the mixing amount of SAP curing material calculated based on the model herein was 1.276 kg/m3, and the mixing method adopted the pre-water absorption method with the total water-binder ratio unchanged. The numerical example evaluation results were in good agreement with the test results. The internal curing effect of SAP was better than that of LWA, and reached the best when the mixing amount was calculated at 25 times the water release rate and the requirement for the maximum total water diversion was met. The study may provide new ideas for extension and application of the internal curing technology.

中文翻译：

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基于改性MULTIMOORA的高强混凝土内养护剂掺量计算模型

摘要 内养护技术在高强混凝土中得到了广泛的应用，因为它可以使高强混凝土具有收缩率低、抗冻能力强的特点。其推广应用的关键在于内固化材料的合理混合。针对这一问题，学者们提出了一种确定内固化需水量的方法；然而，由于混合方法的原因，内固化材料的水释放量很难通过测量获得。因此，本文基于改进的MULTIMOORA方法（基于比率分析的多目标优化加全乘法形式）提出了内固化材料混合量的计算模型。一、不同的内固化材料（高吸水性聚合物（SAP），选择轻骨料（LWA））和预处理方法，根据提出的内养护材料掺量试验方案计算其抗压强度、自收缩和抗冻性能，在这种情况下，综合性能评价指标转化为多属性决策问题。其次，采用有序加权平均（OWA）法和熵权法分别确定指标的主观权重和客观权重，消除异常值对主观评价值的影响。最后，使用MULTIMOORA对各测试组的综合性能进行排序，并根据排序结果和计算模型确定内固化材料的混合量。数值实例应用结果表明，根据本文模型计算得到的SAP固化材料混合量为1.276 kg/m3，混合方式采用预吸水法，总水胶比不变。数值算例评价结果与试验结果吻合较好。SAP的内固化效果优于LWA，以25倍放水率计算混合量且满足最大总分水量要求时达到最佳。该研究可为内固化技术的推广应用提供新的思路。混合方式采用预吸水方式，总水胶比不变。数值算例评价结果与试验结果吻合较好。SAP的内固化效果优于LWA，以25倍放水率计算混合量且满足最大总分水量要求时达到最佳。该研究可为内固化技术的推广应用提供新的思路。混合方式采用预吸水方式，总水胶比不变。数值算例评价结果与试验结果吻合较好。SAP的内固化效果优于LWA，以25倍放水率计算混合量且满足最大总分水量要求时达到最佳。该研究可为内固化技术的推广应用提供新的思路。