本研究針對加強曝光光彈理論提出新加強曝光光彈理論，以加入額外兩步光強影像來免除原先量測延遲量時需要校正試片之光強影像，並在光路中加入補償片，利用相位展開理論得到正確值域之主應力角，克服以往加強曝光光彈理論量測主應力角包裹之限制，並利用受徑向壓縮圓盤實驗驗證新加強曝光光彈理論之量測準確性。
本研究亦將大撓曲樑理論應用在超薄玻璃基板兩點撓曲試驗上，並結合二元二次方程式推得撓曲樑輪廓方程式，以預測超薄玻璃基板撓曲後中性軸之輪廓曲線，最後結合虎克定律計算得到超薄玻璃基板撓曲後全場之彎曲應力，突破以往超薄玻璃基板兩點撓曲試驗上玻璃撓曲程度需與夾板平貼之限制，並達到非破壞性且可預測彎曲應力的目標。

Based on the enhanced exposure theory of photoelasticity (EEToP) developed by the Photomechanics Lab of the National Tsing Hua University, the new enhanced exposure theory of photoelasticity (NEEToP) was proposed in this thesis. The key of NEEToP is to increase two additional enhanced-exposure light intensity images so that the light intensity images of calibration specimen are no longer required. Moreover, by adding a compensator in the light path, NEEToP can obtain the correct principal stress angle through the phase unwrapping theory. Thus, the wrapped phase problem in the principal stress angle measurement of EEToP can be resolved. The measurement accuracy of NEEToP was verified by the experiment of a disc under diametric compression.
In this thesis, the large deflection beam theory was applied to the two-point bending test of the ultra-thin glass substrate. The deflected-beam profile equation was derived by combining the binary quadratic equation and the large deflection beam theory. This equation is able to describe the neutral axis contour curve of the ultra-thin glass substrate under flexure. Then, by integrating the Hooke's law with the equation of the neutral axis contour curve, the whole-field bending stress of the ultra-thin glass substrate can be calculated. This calculation theory breaks through the past measurement limitation that the bending stress on the ultra-thin glass substrate is determined only if the contact condition between the ultra-thin glass substrate and the flexure fixture is surface-to-surface. Therefore, the non-destructive whole-field bending stress measurement for ultra-thin glass substrate can be achieved.

摘要
目錄
一、簡介.......................................1
二、文獻回顧...................................5
三、實驗原理...................................8
3.1 光彈法......................................8
3.1.1 應力光學定律..............................8
3.2 瓊斯運算...................................10
3.3 加強曝光光彈理論............................13
3.4 新加強曝光光彈理論..........................17
3.5 主應力角解包裹..............................18
3.5.1 利用反餘弦函數相位展開.....................19
3.5.2 利用反正弦函數相位展開.....................21
3.5.3 利用反正切函數相位展開.....................22
3.6 大撓曲樑理論................................24
3.6.1 大撓曲樑應力理論..........................30
3.7 撓曲樑輪廓方程式............................31
四、實驗試片與裝置.............................33
4.1 實驗試片規劃...............................33
4.2 實驗裝置...................................34
五、實驗分析程序...............................39
5.1 NEEToP驗證程序.............................39
5.1.1 利用1/16波板驗證各主應力角下之相位展開......39
5.1.2 利用受徑向壓縮玻璃圓盤驗證NEETOP...........40
5.1.3 受徑向壓縮圓盤之理論解.....................41
5.2 玻璃基板撓曲試驗............................42
5.2.1 驗證大撓曲樑理論..........................42
5.2.2 驗證撓曲樑輪廓方程式.......................43
5.2.3 利用撓曲樑之應力理論進行計算...............44
六、結果與討論..................................46
6.1 NEEToP驗證結果與討論........................46
6.1.1 各主應力角下相位展開.......................46
6.1.2 以受徑向壓縮玻璃圓盤驗證NEETOP.............52
6.2 玻璃基板撓曲試驗結果.........................54
6.2.1 大撓曲樑理論驗證之結果與討論................54
6.2.2 撓曲樑輪廓方程式驗證之結果與討論............57
6.2.3 撓曲玻璃基板應力計算.......................61
七、結論與未來展望...............................63
7.1 結論........................................63
7.2 未來展望....................................66
7.2.1 NEETOP...................................66
7.2.2 玻璃基板撓曲試驗...........................67
八、參考文獻....................................69
附錄A：載荷量測值自重校正........................155

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