本文旨在探討不同位置不同數量插銷固定住的二維複合材料平板，在一側施加拉伸均布負載，以有限元素法研究在不同疊序之疊層板以及纖維走向0∘之單層板上施加拉伸負載大小為10MPa，考慮插銷與平板接觸邊緣有無發生摩擦、有無間隙之狀況下，在插銷與平板接觸區域之應力分布情形及利用Tsai & Wu破壞準則判斷破壞模式及發生位置，並藉由有限元素套裝軟體「ANSYS」來進行本文的模擬與分析。
　　以碳纖維/環氧樹酯(AS/3501 carbon/epoxy)複合材料為平板，低碳鋼(A36-steel)為插銷，透過模擬觀察出若接觸區域含有間隙將導致接觸應力分布幅度縮小，且接觸應力值也將變大。而若接觸區域發生摩擦則會使接觸應力分布幅度稍稍增加，也將能使得接觸應力值降低。透過不同疊層之方式模擬可知，Cross-ply[0/90]2s此種疊序之疊層板在受力後其將最不容易產生破壞，故其最適合拿來做為插銷固定之平板材料。而在二顆及三顆插銷固定之模型上，透過增加插銷彼此間距的方式，也能將接觸應力值稍稍降低，一併能降低其Tsai & Wu判別式值。

　　The thesis discusses 2D laminated plates bonded by bolt. The plates are subjected to the uniformly distributed load 10MPa at far field. A variety of laminates are considered, including Lamina(0∘), Cross-ply[0/90]2s, and Quasi-isotropic[0/+45/90/-45]s. Not only is the influence of the friction between bolt and the plate taken into account, but also the gap between them is considered. The stress distribution between bolts and laminates are calculated, and the failure mode and failure location are determined by Tsai-Wu failure criterion. The simulations have been done by using ANSYS.
　　The plate is composed of AS/3501 carbon/epoxy, and the bolt is made up of A36-steel. From the results of the simulations, we have found the contact region with gap will lead to reduction of the stress distribution range, and the increase of the contact stress. If there is friction between the contact region, the stress distribution range will increase slightly, and it will also reduce the contact stress. Through different simulations, we have found that Cross-ply[0/90]2s is the strongest laminate. In other words, the laminates type of Cross-ply[0/90]2s is the most suitable as a plates with bolted joints. On the models bonded by two or three bolts, if we increase the distance of the bolts, the contact stress will decrease slightly, and so is the value of Tsai-Wu discriminant.

[1] P. Mark, " Aviation – The shape of wings to come," New Scientist, June 29, 2005.
[2] F. K. Chang, R. A. Scott and G. S. Springer, "Failure of Composite Laminates Containing Pin Loaded Holes—Method of Solution," Journal of Composite Materials, Vol. 18, pp. 255-278, 1984.
[3] W. H. Chen, S. S. Lee and J. T. Yeh, "Three-dimensional contact stress analysis of a composite laminate with bolted joint," Composite Structures, Vol. 30, pp. 287-297, 1995.
[4] B. M. İçten and R. Karakuzu, "Progressive failure analysis of pin-loaded carbon–epoxy woven composite plates," Composites Science and Technology, Vol. 62, pp. 1259-1271, 2002.
[5] K. J. Jadee, "Progressive Failure Analysis and Failure Map into Plain Weave Glass Fibre Reinforced Polymer Bolted Joint," American Journal of Materials Science and Engineering, Vol. 3, pp. 21-28, 2015.
[6] 許明發, 柯澤豪, 劉顯光, 郭文雄, 複合材料入門, 中華民國尖端材料科技協會, 2005.
[7] R. F. Gibson, Principles of Composite Material Mechanics, CRC Press, Florida, 2011.
[8] F. K. Chang, R. A. Scott and G. S. Springer, "Strength of mechanically fastened composite joints," Journal of Composite Mterials, Vol. 16, pp. 470-494, 1982.
[9] F. Sen, "Experimental failure analysis of mechanically fastened joints with clearance in composite laminates under preload," Materials and Design, Vol. 29, pp. 1159-1169, 2008.
[10] T. Yýlmaz and T. Sýnmazçelik, "Investigation of load bearing performances of pin connected carbon/polyphenylene sulphide composites under static loading conditions," Materials and Design, Vol. 28, pp. 520-527, 2007.
[11] A. Aktas and M. Dirikolu, "An experimental and numerical investigation of strength characteristics of carbon-epoxy pinned-joint plates," Composites Science and Technology, Vol. 64, pp. 1605-1611, 2004.
[12] S. W. Tasi and E. M. Wu, "A General Theory of Strength for Anisotropic Material," Journal of Composite Materials, Vol. 5, pp. 58-80, 1971.
[13] R. C. Hibbeler, Mechanics of materials, Pearson, New Jersey, 2011.
[14] 劉晉奇, 褚晴輝, 有限元素分析與ANSYS的工程應用, 滄海書局, 2006.
[15] R. D. Cook, D. S. Malkus, M. E. Plesha and R. J. Witt, Concepts and applications of finite element analysis, Wiley, New Jersey, 2001.
[16] "ANSYS Inc. PDF Documentation for Release 15.0," 2014.
[17] "MatWeb A36 steel bar," MatWeb, 2012.
[18] T. Ireman, "Three-dimensional stress analysis of bolted single-lap composite joints," Composite Structures, Vol. 43, pp.195-216, 1998.
[19] 高宗戰、岳珠峰, 帶孔複合材料板和螺栓連接複合材料板的有限元計算分析, 飛機設計第四期, 2003.
[20] A. Najafi, M. Garg, and F. Abdi, "Failure Analysis of Composite Bolted Joints in Tension," 50th AIAA/ASME/ASCE/AHS/ASC Structures Structural Dynamics and Materials Conference, Palm Springs, California, May 4-7, 2009.
[21] 張書維, 纖維複材疊層板在螺栓集中載重下之非線性破壞分析,國立成功大學土木工程研究所碩士論文, 2005.
[22] 陳品蒼, 含多個圓孔及邊緣開口疊層板之應力集中因子, 國立清華大學動力機械工程研究所碩士論文, 2015.