鈉鈣玻璃(Soda lime glass)與鋁矽酸鹽玻璃(Aluminosilicate glass)製作成產品經由化學強化(離子交換法)後，發現其成品於出貨前量測站點，偵測出玻璃的外型尺寸有膨脹之現象，導致外型尺寸量測數值偏規格上限，甚至超出產品規格而無法出貨，影響出貨交期。
因此本研究選擇以上兩種玻璃種類與不同厚度的玻璃製作成產品外型，在製程條件皆為交換時間1~3小時/440℃下進行化學強化，並量測化學強化前、後的外型尺寸數值與離子交換深度，整理並回歸出兩種玻璃膨脹率與離子交換深度的趨勢，藉此可預測出膨脹率，使產品於化學強化前的成型階段即可預先內縮外型尺寸，讓產品經化學強化的膨脹後剛好達到產品規格，使產品可順利出貨。
結果發現兩種玻璃雖然製程條件皆相同，但歸納出的膨脹率與離子交換深度卻不同，其與影響離子交換的玻璃本身成分有關；玻璃厚度越厚(體積越大)，膨脹率反而減少，其與玻璃內部產生的壓應力抵抗離子交換層的膨脹所導致。
使用ANSYS進行兩種玻璃的膨脹量模擬，發現模擬結果與實際實驗趨勢相同，皆為玻璃厚度越厚(體積越大)，其膨脹率反而減少。

Field measurements show that after chemically strengthening (Ion exchanged method), the dimensions of the products made by the Soda lime glass and Aluminosilicate glass were larger and out of specification due to expansion. Therefore, these two types of glass of different thicknesses were used for this study. The process conditions were the ion exchange time between 1-3 hours/440°C for chemically strengthening. We compared the outline dimensions and depth of the strengthened layer before and after chemically strengthening to determine the glass expansion ratio and the depth of the strengthened layer. Thereby, the size of product can be pre-minified before chemically strengthening so that the final product can meet the geometric specifications.
The results show that, under the same processing conditions, the expansion ratio and depth of the strengthened of these two types of glass are very different, which are related to the ion exchanging efficiency of the glass. A thicker glass (the larger the volume) will have a smaller expansion ratio due to the compressive stress generated inside the glass against the expansion of ion exchanged layer.
The simulation results using finite element method to simulate the expansion of these two kinds of glass show the same trend as that of the actual experimental trend.

[1] AIAG." Production part approval process (PPAP)" Automotive Industry Action Group, 1-69, (2006).
[2] S.S. Kistler, "Stresses in glass produced by nonuniform Exchange of monovalent ions, " J. Am. Ceram. Soc., 45 (2) 59–68, (1962).
[3] P. Acloque and J. Tochon, "Measurement of mechanical resistance of glass after reinforcement, " Union Scientifique Continentale du Verre, Charlroi, Belgium, 687–704, (1962).
[4] A. R. Cooper and D. A. Krohn, "Strengthening of glass fibers :II, Ion exchange", J. Am. Ceram. Soc., 52(12), 665-69, (1969).
[5] Weyl. W. A., "Structure of subsurface layers and their role in glass technology [J]." J. Non-Cryst. Solids, 19, 1-25, (1975)
[6] A. K. Varshneya and G. Dumais, "Influence of externally applied stress on kinetics of ion exchange in glass", J. Am. Ceram. Soc., 68(7), 65-66, (1985).
[7] 吳哲. 田英良. 沈雪紅., "高強度鋁矽酸鹽玻璃及其化學鋼化方法." 中華人民共和國國家知識產權局, 6-7, (2008).
[8] Tian. Y. L., Zhang, G., Sun, S. B., "Research on clarification of aluminosilicate glass [J] . " Journal of Wuhan University of Technology, 31(22), 117-119, (2009).
[9] Tian. Y. L., Chen, J. S., Zhang, L., et al., 'Discussion on the key technology of producing ultrathin aluminsilicate glass [J]. Glass & Enamel." 11(9), 22-26, (2011).
[10] Jiang. L. B., Guo, X. T., Li, X. Y., et al., 'Different K+-Na+ inter-diffusion kinetics between the air side and tin side of an ion-exchanged float aluminosilicate glass [J]." Applied Surface Science, 265(15), 889-894, (2013).
[11] 長谷川聰. 都筑達也. 村本正. 三田村植樹. 松田裕., "化學強化玻璃板的製造方法." 中華人民共和國國家知識產權局, 4-5, (2013).
[12] 劉經為." 玻璃化學強化製程與玻璃特性之研究." 國立虎尾科技大學光電與材料科技研究所碩士學位論文, 1-57, (2014).
[13] Li. Zhen., Li, Xichuan., Yu, Tao., Liang, Xiaofeng., " Experimental study on the properties of chemical strengthen of glass substrate materials." School of Materials Science and Engineering, Southwest University of Science and Technology, Mianyang, 28-29, (2015).
[14] Li. Junjie., Tian, Yingliang., Gong, Ruhua., Geng, Kai.," Effect of glass composition on the properties of ultra thin screen cover glass." College of Materials Science and Engineering, Beijing University of Technology, Beijing, 3-4, (2019).
[15]楊靜."建筑材料與人居環境." 清華大學出版社有限公司, (2001).
[16] N, Ban., T, Kamihori., H. Takamuku, "A study of the behavior of volatiles in the float process." J. Non-Cryst. Solids 345-346, 777-781, (2004).
[17] B. Na, S. Ahmed, G. Nemhauser, J. Sokol, "Optimization of automated float glass lines." Int. J. Prod. Econ. 145, 561-572, (2013).
[18] S. M. Dockerty, "Sheet forming apparatus." U. S. Patent 3,338,696, Aug. 29., (1967).
[19]蔡獻,"玻璃的藝術與科技：液晶顯示器用玻璃基板"，科學發展406期32-37, (2006).
[20] A. K. Varshneya, "Chemical strengthening of glass :lessons learned and yet to be learned[J]." International Journal of Applied Glass Science, 131-142, (2010).
[21]Li. L. L., Tang, Y. Q., Mei, Y. F., "Comparison between glass toughening methods[J]." 50-53, (2008).
[22]連志賢."單層感應玻璃表面加工模擬與加工強度分析."國立中興大學機械工程學系所碩士學位論文, (2013).
[23]王杏娟. 戴斌. 楊婧妮. 強驥鵬., "鋁矽酸鹽玻璃及強化玻璃." 中華人民共和國國家知識產權局, 4-5, (2013).
[24] J. Mencik, "Strength and fracture of glass and ceramics, Glass science and technology.” Vol. 12, Tokyo: Elsevier, (1992).
[25]A. Quaranta, E. Cattaruzza, F. Gonella, "Modelling the ion exchange process in glass:Phenomenological approaches and perspectives." Mater. Sci Eng. B-Solid, 149, 133-139, (2008).
[26] A. Tandia, K. D. Vargheese, J. C. Mauro, A. K. Varshneya, "Atomistic understanding of the network dilation anomaly in ion-exchanged glass." J. Non-Cryst. Solids 358, 316-320, (2012).
[27]Rene. Gr., "Ion exchang for glass strengthening[J]." Material Science and Engineering:B, 149(2):159-165, (2008).
[28]V. E. Kane, "Process capability indices," Journal of Quality Technology, 41-52, (1986).
[29]梁伯維."450mm晶圓在快速與閃光燈熱退火下之形變行為."國立成功大學工程科學學系碩士學位論文, 46-49, (2017).
[30]蔡豪哲."超薄玻璃經離子交換強化性質研究."國立聯合大學材料科學工程學系碩士學位論文, 79-80, (2015).