本文主要利用「幾何觀念」及「相似定律」，針對1992年台灣科技大學所推動，融入「耐久性、安全性、工作性、經濟性及生態性」之緻密配比邏輯（Densified Mixture Design Algorithm, DMDA）進行再演繹，使其更趨於人性化，且於實務之應用更加簡便及經濟。其中為使爐石於緻密配比邏輯中之使用更多樣化，特針對不同爐石添加量混凝土，進行各項性能測試，以作為爐石添加比例之探討依據。試驗結果顯示，未添加其他卜作嵐材料時，爐石添加比例（x= 30 %）有較佳的性能表現。另根據「幾何觀念」及「相似定律」，可推導出水泥漿量放大前後，骨材系統各組成材料用量，係依一固定比例變化，定義為體積變化係數（n），
此係數（n）為骨材系統體積，或水泥漿體系統體積之函數（ 或
）。此外，為探討再演繹後緻密配比邏輯之適用性，配合不同
性能要求水泥系複合材料，及不同地域環境之應用，驗證其相關性能，並就適用性進行分析探討。研究成果顯示依據再演繹之緻密配比邏輯所設計之水泥系複合材料（水泥砂漿、混凝土）均能符合工程要求，並具備「永續、保險、人性、節能及翠綠」之優生準則，且經寒冷地區之驗證亦同樣適用。

In this article, it is to utilize the geometry concept and the similarity law to rededuce the densified mixture design algorithm (DMDA) that incorporates with durability, safety, workability, economy and ecology which National Taiwan University of Science and Technology carried out in 1992. The purpose of the rededuction enables DMDA to have more humanity, more convenient and economic to use. In order to make various utilization of slag in DMDA, various slag contents were used to prepare concrete. The properties of concrete are measured, and taken into discussion the slag content by them. The test result indicates that under the condition that no other pozzolanic materials were added, the concrete within 30% slag has better properties. According to the geometry concept and the similarity law, we deduce that the variation of composed materials content in aggregate system depends on a fixed proportion while the cement paste amount changed. The fixed proportion is a coefficient of volume variation designated as n. And it is not only a function of the volume of aggregate system ( ) but also the volume of cement paste system ( ). In addition, to research the suitability of the rededuction of DMDA, operate the algorithm with the application of multiple cement-based composites and various environments to identify its related performances and suitability. The result of the study shows that the multiple cement-based composites designed according to the rededuction of DMDA is conformed to the requirement of construction. They are also equipped with the hygienic criteria of “ durability, insurance, humanity, economy and green”. Even in the frigid area, it is also applicable.

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