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研究生： 朴娜蒂
DIAN PURNAMAWATI SOLIN
論文名稱： STRAIN FIELD DUE TO ALKALI SILICA REACTION (ASR)
指導教授： 田永銘
Yong Ming Tien
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
論文出版年： 2017
畢業學年度： 105
語文別： 英文
論文頁數： 120
中文關鍵詞： 數位影像相關法 、鹼質粒料反應 、應變
外文關鍵詞： digital image correlation, alkali silica reaction, strain
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    • 膨脹量之量測為鹼質粒料反應之檢測的重要項目。傳統上常用多點式應變規，
    但僅能量測出單一線段上的總體應變量。數位影像相關法可以進行平面的應變分析，
    包含應變場分析及變位向量等，可以應用在混凝土表面的膨脹量測。
    本文使用MATLAB DIC code 分析受鹼質粒料反應之混凝土板的膨脹量。骨材使
    用具鹼質粒料反應性之和平溪骨材、花蓮溪骨材及斑狀安山岩，並分別參考ASTM
    C1293及ASTM C1260 之試驗環境及量測間隔建立兩種膨脹量試驗流程。
    以MATLAB DIC code之適用性測試而言，對人造影像可以精確的計算其剛體旋
    轉位移及膨脹。而混凝土板膨脹量測成果與多點式應變規量測之結果符合。混凝土表
    面裂縫之生成與一階應變不變量有高度之關係。
    關鍵字：數位影像相關法、鹼質粒料反應、應變。

    Expansion measurement is important in alkali silica reaction diagnosis. Contact gauges
    are commonly used for concrete surface expansion, but it just gives linear global expansion.
    Digital image correlation can measure planar expansion including displacement vectors and
    strain field analysis, and is suitable for concrete surface expansion measurement.
    In this thesis, a MATLAB DIC code is used to analyze ASR-affected concrete plate
    expansion. The aggregates of concrete are Herping river aggregate, Hualien river aggregate and
    andesite which are regarded as reactive aggregates. The environments to induce ASR and
    measuring intervals are referring to ASTM C1293 and ASTM C1260, respectively.
    From the result of validation test, DIC code shows good accuracy on ridge body rotation
    and translation and expansion for artificial image. For the expansion of concrete plate, DIC
    measurement highly related to the contact gauge reading. For the strain invariants, crack
    propagation is related to the value of first strain invariant.
    Keywords: digital image correlation, alkali silica reaction, strain

    摘 要 .......................................................................................................................................... ii ABSTRACT .............................................................................................................................. iii ACKNOWLEDGEMENT ......................................................................................................... iv CHAPTER I: INTRODUCTION ............................................................................................... 1 1.1 BACKGROUND ........................................................................................................ 1 1.2 OBJECTIVES ............................................................................................................. 2 1.3 SCOPE AND LIMITATION OF THE RESEARCH ................................................. 2 1.4 RESEARCH FLOWCHART ...................................................................................... 2 1.5 THESIS ORGANIZATION ........................................................................................ 4 CHAPTER II: LITERATURE REVIEW ................................................................................... 5 2.1 ALKALI SILICA REACTION ................................................................................... 5 2.1.1 Chemistry of Alkali Silica Reaction ..................................................................... 5 2.1.2 Mechanism of Alkali Silica Reaction ................................................................... 6 2.2 DIGITAL IMAGE CORRELATION ......................................................................... 8 2.2.1 Principle of Digital Image Correlation ................................................................. 9 2.2.2 Displacement Estimating .................................................................................... 12 CHAPTER III: RESEARCH METHODOLOGY .................................................................... 14 3.1 INTRODUCTION OF EXPERIMENT .................................................................... 14 3.2 SOURCE OF AGGREGATE ................................................................................... 14 3.3 MATERIALS ............................................................................................................ 15 3.3.1 Cement ................................................................................................................ 15 3.3.2 Aggregate............................................................................................................ 15 3.4 APPARATUS OF EXPERIMENT ........................................................................... 17 3.4.1 Mold ................................................................................................................... 17 3.4.2 Crushing Machine/Jaw Crusher ......................................................................... 18 3.4.3 Sieve ................................................................................................................... 18 3.4.4 Vibrator Machine/Vibrating Table ..................................................................... 18 3.4.5 Contact gauge ..................................................................................................... 19 3.4.6 Container ............................................................................................................ 20 3.4.7 Moist Cabinet ..................................................................................................... 21 3.4.8 Peek (Polyaryl Ether Ether Ketone) ................................................................... 21 3.4.9 Scanner ............................................................................................................... 22 3.4.10 Image Acquisition .............................................................................................. 22 vi 3.5 METHODS OF EXPERIMENT ............................................................................... 23 3.5.1 Preparation of Experiment .................................................................................. 23 3.5.2 Mix Design ......................................................................................................... 23 3.5.3 NaOH Solution ................................................................................................... 24 3.5.4 Curing Condition ................................................................................................ 26 3.5.5 Measurement Time ............................................................................................. 26 3.5.6 Flowchart ............................................................................................................ 26 CHAPTER IV: VALIDATION OF DIC .................................................................................. 29 4.1 RIGID BODY TRANSLATION .............................................................................. 29 4.2 RIGID BODY ROTATION ...................................................................................... 31 4.3 ISOTROPIC EXPANSION ...................................................................................... 32 4.4 SUBSET EFFECT .................................................................................................... 34 4.5 STRAIN INVARIANTS AND PRINCIPAL STRAIN ............................................ 38 CHAPTER V: EXPANSION MEASUREMENT RESULT AND DISCUSSION ................. 47 5.1 EXPERIMENT UNDER CONDITION OF ASTM C1260 ..................................... 47 5.1.1 Horizontal Analysis ............................................................................................ 47 5.2 EXPERIMENT UNDER CONDITION OF ASTM C1293 ..................................... 50 5.2.1 Horizontal Analysis ............................................................................................ 50 CHAPTER VI: STRAIN ANALYSIS OF CONCRETE PLATE ............................................ 54 6.1 STRAIN FIELD ........................................................................................................ 54 6.2 STRAIN INVARIANTS AND CRACK PROPAGATION ..................................... 59 CHAPTER VII: CONCLUSION ............................................................................................. 62 REFERENCE ........................................................................................................................... 63 APPENDIX .............................................................................................................................. 65

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