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研究生:郭昱廷
研究生(外文):Guo yu-ting
論文名稱:動態應變速率下活性粉混凝土之應力-應變行為
論文名稱(外文):Strain-Rate Sensitivity on Stress-Strain Behavior of RPC by Modified Inclusion Theory
指導教授:潘煌鍟潘煌鍟引用關係戴毓修戴毓修引用關係
指導教授(外文):Huang-Hsing PanYuh-Shiou Tai
學位類別:碩士
校院名稱:國立高雄應用科技大學
系所名稱:土木工程與防災科技研究所
學門:工程學門
學類:土木工程學類
論文種類:學術論文
論文出版年:2008
畢業學年度:96
語文別:中文
論文頁數:146
中文關鍵詞:應變速率衝擊活性粉混凝土應力-應變曲線
外文關鍵詞:strain rateimpactreactive powder concretestress-strain curve
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利用介質理論模擬活性粉混凝土複合材料在不同應變速率的應力-應變行為,將活性粉混凝土視為基材,加入1%、2%、3%體積比的介質(鋼纖維)構成活性粉混凝土複合材料。材料經高溫養護七天後,在MTS萬能試驗機使用5×10^-6/s、5.5×10^-5/s、1×10^-4/s、1×10^-3 /s、1×10^-2 /s及1×10^-1/s應變速率及分離式霍普金森壓桿試驗設備在2×10^2/s ~1×10^3 /s範圍應變速率,求得活性粉混凝土基材應力-應變曲線。利用四參數力學模型,模擬活性粉混凝土基材在不同應變速率的應力-應變曲線行為,並配合介質理論與正割模數法觀念而模擬在不同應變速率下活性粉混凝土複合材料應力-應變行為,再與試驗的應力-應變曲線比較,驗證預測理論的可靠性。
研究結果顯示,由靜態四參數力學模型,延伸推導出動態四參數力學模型,用以模擬動態應變速率下活性粉混凝土基材的應力-應變行為,與試驗所得應力-應變曲線比較後相當接近。所模擬的四參數K1、K2、η1、η2 為應變速率的函數,經迴歸分析以內插的方法求得各應變速率基材的四個參數值,再配合介質理論預測活性粉混凝土複合材料的應力-應變曲線,發現理論預測與試驗所得的應力-應變曲線在應變量 ~ 範圍內相當接近,故以介質理論模擬動態不同應變速率下活性粉混凝土複合材料的應力-應變行為是一種可行的方法。
This research is to investigate the strain rate effect on the stress-strain curve of RPC composites by using the inclusion theory and the secant moduli. The composite material is examined at the age of 7 days with RPC mortar as the matrix, and three volume concentrations, 1%, 2% and 3%, of the steel fiber as the inclusion respectively. Strain rates with 5×10^-6/s、5.5×10^-5/s、1×10^-4/s、1×10^-3 /s、1×10^-2 /s and 1×10^-1/s by MTS, and with 2×10^2/s ~1×10^3 /sby SHPB are applied to the materials, respectively. A four-parameter mechanics model in term of the strain rate is proposed to simulate the stress-strain curves of the RPC matrix. From the simulated results of the RPC matrix, the mean-field approach and the secant modulus method are used to simulate the stress-strain relationship of the RPC composites.
Results show that dynamic four-parameter mechanics model can be derived from the static mechanics model, and four parameters with K1、K2、η1 and η2 are determined from the experimental stress-stain curves of the matrix simulated the RPC matrix. Meanwhile, the simulated stress-strain curves and the experimental ones are pretty close to the each other in RPC composites with different strain rates at the peak strain 2×10^-3 ~ 3×10^-3. Thus, the proposed approach by combining the inclusion theory and the secant modulus is suitable for predicting the stress-strain relationship of the RPC composites with dynamic different strain rates.
中文摘要 I
英文摘要 II
誌謝 III
目錄 IV
表目錄 VII
圖目錄 VIII
符號說明 XII
第一章 緒論 1
1.1 研究動機與目的 1
1.2 研究範圍 1
1.3 研究方法 2
1.4 研究步驟 4
第二章 文獻回顧 5
2.1 活性粉混凝土發展緣起與設計理念 5
2.2 活性粉混凝土之應用 6
2.3 材料力學行為與應變速率關係 6
2.3.1 材料力學行為 6
2.3.2 應變速率範圍設備 7
2.4 強度在高載重速率提升機制 9
2.5 混凝土的破裂模式 10
2.6 纖維的破壞模式 10
第三章 RPC複合材料力學理論 18
3.1 簡介 18
3.2 介質理論 18
3.3 橢球體介質之彈性模數 20
3.4 應變速率與RPC基材的力學模型 23
3.4.1 靜態四參數之力學模型 23
3.4.2 動態四參數之力學模型 26
3.5 RPC複合材料正割模數的應力-應變行為 28
第四章 試驗計劃 33
4.1 試驗目的 33
4.2試驗材料 34
4.3試驗規劃 35
4.4 試體製作 36
4.5拌和養護步驟 37
4.6流度試驗 37
4.7試驗儀器及設備 38
4.8 MTS試驗方法 39
4.9試驗數據分析公式 40
4.10 SHPB衝擊試驗方法 42
4.11 SHPB 理論與試驗數據分析公式 43
4.12切割微觀試樣試驗及觀測 45
第五章 結果與分析 65
5.1 試驗結果 65
5.1.1 流度試驗 65
5.1.2 OM微觀試驗 65
5.1.3 加載至破壞所需時間 65
5.1.4 抗壓強度 66
5.1.5 楊氏模數 67
5.1.6 應變速率與應力-應變行為關係 69
5.1.7 破壞行為 70
5.2 四參數模型模擬RPC基材應力-應變行為 71
5.3 理論模擬RPC複合材料應力-應變行為 72
5.3.1 RPC複合材應力-應變行為計算步驟 72
5.3.2 RPC複合材料應力-應變曲線的預測結果 74
第六章 結論與建議 125
6.1結論 125
6.2建議 126
參考文獻 127
附錄A 131
附錄B 134
附錄C 136
附錄D 138
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