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研究生: 鄧福勝
Fu-Sheng Deng
論文名稱: 含磚鋼筋混凝土結構非線性行為之數值模擬
Numerical Simulations of Reinforced Concrete Structure Containing Brick Wall
指導教授: 王仲宇
Chung Yue Wang
口試委員:
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
畢業學年度: 89
語文別: 中文
論文頁數: 83
中文關鍵詞: 有限元素法不連續變形分析法損傷破壞鋼筋混凝土磚牆水泥砂漿
外文關鍵詞: Finite Element Method, Discontinuous Deformation
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  • 本研究中鋼筋行為是利用桁架元素模擬,並配合DDA塊體內的有限元節點配置來模擬鋼筋混凝土結構中鋼筋的效應。為模擬土木結構中磚牆的破裂現象,本研究亦嘗試建立磚塊間水泥砂漿介質破裂分析模型。其中磚塊嘗試用DDA塊體或DDA塊體再用有限元細分來模擬,而磚塊間的水泥砂漿則嘗使用界面元素來模擬,利用界面元素結點位移轉化為張力及剪力效應,同時亦希望能夠合理的找出水泥砂漿和介面元件所對應的關係,並加入水泥砂漿的破壞準則。開裂後塊體間之接觸互制行為,則使用DDA接觸判斷分析模式進行處理。
    此一分析程序的功能與合理性,透過一系列數值算例並和實驗結果之比較進行驗證。



    In this thesis, a computation code is developed based on the finite element method (FEM) and the discontinuous deformation analysis (DDA) theory. Each brick is modeled as a DDA block patched with finite element mesh. After cracking of mortar, the multi-body dynamics and contact analysis among bricks and RC frame are dealt by the DDA theory. Truss element is used to model the behavior of reinforcement inside the concrete and is tied up with the concrete at the node of concrete element. Both the nonlinear behaviors of the reinforcement and concrete material are considered into the analysis. To model the behavior of the mortar between bricks, a special interface element is developed. This element can provide suitable bond force between two blocks due to mortar. This interaction force can be reduced according to the interfacial friction and contact laws if interfacial cracking is identified. Besides, smear damage model of cracked concrete material is also acquired to adjust its coefficients of elasticity at Gaussian points according to the direction of crack surface.
    The accuracy and effectiveness of this simulation code were verified by some benchmark problems and experiment results of large-scale structural tests.

    目錄I 圖目錄IV 摘要VII 英文摘要VIII 第一章 緒論1 1-1 研究背景及動機1 1-2研究方法3 1-3論文內容 4 第二章 文獻回顧 6 2-1有限元素法(FEM) 6 2-2分離元素法(DEM)與不連續變形分析法(DDA) 7 2-3 有限元素法和不連續變形分析的比較 10 2-4 塊體細分有限元與塊體接觸判斷 12 2-5 磚牆與鋼筋混凝土剪力牆之分析模式 13 第三章 混凝土損傷開裂分析模型 16 3-1 混凝土材料之破壞準則 17 3-2分布裂縫模型 20 3-3黏聚裂縫模型 22 3-4離散裂縫模型 24 第四章 數值分析模式 28 4-1鋼筋混凝土結構中鋼筋效應模擬與破壞 28 4-1-1疊加勁度法 29 4-1-2鋼筋等效應力法 31 4-2 水泥砂漿界面元素模擬與破壞 32 4-2-1水泥砂漿界面元素效應 32 第五章 數值結果與討論37 5-1 鋼筋效應模擬之驗證37 5-2 水泥砂漿界面元素動態與擬靜態模擬38 5-3 鋼筋混凝土簡支樑損傷之數值模擬39 5-4 磚堆砌與力學行為模擬40 5-4-1磚體堆疊與界面元素模擬40 5-4-2磚體連結簡支樑端點受衝擊荷重模擬40 5-5 鋼筋混凝土構架力學行為模擬41 5-6 鋼筋混凝土構架內填充鋼筋混凝土版力學行為模擬42 5-6-1鋼筋混凝土構架內填充全混凝土版42 5-6-2鋼筋混凝土構架內填充半混凝土版42 5-7純磚牆破壞試驗43 5-8 含磚鋼筋混凝土結構模擬43 5-9 受往復荷重之含磚鋼筋混凝土結構44 第六章 結論與建議 45 6-1 結論45 6-2 建議46 附錄A 含磚鋼筋混凝土破壞損傷程式流程圖78 參考文獻 79

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