本論文主要目的在使用數位相機配合實體顯微鏡來量測試體變位，並用最小二乘法求解開裂處之應力集中係數，量測試體可為均向性及異向性材料。一般而言，量測的方法很多，但須複雜的步驟或昂貴的儀器，由於近年來數位相機發展一日千里及物美價廉，其解析度配合實體顯微鏡已可用來量測變位。首先在試體上貼上基準點，然後使用數位相機配合實體顯微鏡，將變位前後之影像紀錄，由變位前後之影像比對，得到各點之變位，配合類似有限元素法由變位求應力之步驟，求的開裂處之應力集中係數。本研究亦將先使用有限元素法，模擬實驗之結果，並證明所有步驟之正確度及可能產生之誤差。
　　本論文乃是與博士班學生 劉淑秀共同完成，在未來她會使用此方法並應用在其他的領域裡。

　　The main purpose of this thesis is to use the video camera incorporating the microscope to measure the specimen displacement field during the experiment, and the least-squares method will be used for finding the stress intensity factors (SIFs) of the cracked specimen. In general, there are some other experiment measurements to measure the SIFs of the cracked specimen, but most of them are not suitable or high instrument cost or complex experimental procedure. Recently, the progress of video camera is very quick, and the price is more and more inexpensive. The video camera incorporating the microscope is able to measure the displacement field. Use the video camera and microscope to record the specimen before and after loading. Compare with the two images, one can find the displacement field of the specimen. Then, use the least-squares method to find the SIFs. All the procedures of the experiment will be first simulated by using the finite element data to validate the accuracy and evaluate the coming error of the experiment.
　　This research is completed with a candidate for doctor's degree, Shu-Hsiu Liu. In the future, she will apply this method in many fields.

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