本研究使用一套非線性破壞分析模式，針對纖維複材疊層板在螺栓集中載重下，進行材料之破壞預測及分析探討。此非線性破壞分析模式主要包含三部分：1.材料破壞前的非線性組成律2.預測破壞時機的混合破壞準則3.後破壞分析模式。

　　至於纖維複材單層板破壞前之非線性行為模擬，乃假設材料在軸向及側向均為彈性－塑性行為，而面內剪力則使用定值剪力參數來模擬之。然而破壞時機之判斷依據，則使用混合破壞準則: 結合了Tsai-Wu破壞準則和最大應力準則的優點。在後破壞行為分析中，對單層板軸向和剪力之行為均假設成脆性破壞模式，而側向則採用逐降模式模擬之。

　　對於非線性破壞分析模式所預測之結果，將與纖維複材疊層板在螺栓集中載重下之實驗數據結果做比較，以證明纖維複材疊層板在螺栓集中載重作用下，本論文所建議之分析模式正確且合理。

　　最後，利用所建立之模型，延伸探討一些纖維複材疊層板在螺栓集中載重下之更複雜的情形；諸如：不同疊序、不同板寬以及改變不同螺栓離板邊緣距離之影響，並由數值結果做出歸納分析並討論之。

none

[1]Afaghi-Khatibi, A., Ye, L. and Mai, Y.-W. "An Effective Crack Growth Model for Residual Strength Evaluation of Composite Laminates with Circular Holes", Journal of Composite Materials, Vol. 30, pp. 142-163, 1996.

[2]Allen, H., Harris, C.-E. and Groves, S.-E., "A Thermomechanical Constitutive Theory for Elastic Composites with Distributed Damage-I.Theoretical Development", Int. J. Solids Structures, Vol. 23, pp. 1301-1318, 1987.

[3]Azzi, V.-D. and Tsai, S.-W., "Anisotropic Strength of Composite", Exp. Mech., Vol. 5, pp. 283-288, 1965.

[4]Backlund, J. and Aronsson, C.-G. "Tensile Fracture of Laminates with Holes", Journal of Composite Materials, Vol. 20, pp. 259-281, 1988.

[5]Chang, F.-K. and Chang, K.-Y., "A Progressive Damage Model for Laminated Composites Containing Stress Concertrations", J. Compos. Mater., Vol. 21, pp. 834-855, 1987.

[6]Chang, F.-K. and Chang, K.-Y., "Post-Failure Analysis of Bolted Composites Joints in Tension or Shear-out Mode Failure ", J. Compos. Mater., Vol. 21, pp. 809-833, 1987.

[7]Chang, F.-K. and Lessard, L.-B., "Damage Tolerance of Laminated Composite Containing an Open Hole and Subjected to Compressive Loadings: Part I-Analysis", Journal of Composite Materials, Vol. 25, pp. 2-43, 1991.

[8]Chang, F.-K. and Lessard, L.-B., "Damage Tolerance of Laminated Composite Containing an Open Hole and Subjected to Compressive Loadings: Part Ⅱ-Experiment", Journal of Composite Materials, Vol. 25, pp. 44-64, 1991.

[9]Chang, F.-K., Liu, S. and Chang, K.-Y., "Damage Tolerance of Laminated Composite Containing an Open Hole and Subjected to Tensile Loadings", Journal of Composite Materials, Vol. 25, pp. 274-301, 1991.

[10]Hahn, H.-T., "Nonlinear Behavior of Laminated Composites", Journal of Composite Materials, Vol. 7, pp. 257-271, 1973.

[11]Hahn, H.-T. and Tsai, S.-W., "Nonlinear Elastic Behavior of Unidirectional Composite Laminates", Journal of Composite Materials, Vol. 7, pp. 102-118, 1973.

[12]Hakan K. and Rami H.-A., "Progressive damage and nonlinear analysis of pultruded composite structures", Composites:Part B, Vol. 34, pp. 235-250, 2003.

[13]Hashin, Z., "Failure Criteria for Unidirectional Fiber Composites", J. Appl. Mech., Vol. 47, pp. 329-334, 1980.

[14]Hill, R., "The Mathematical Theory of Plasticity", Oxford University Press, London, 1950.

[15]Hoffman, O., "The Brittle Strength of Orthotropic Material", Journal of Composite Materials, Vol. 1, pp. 200-206, 1967.

[16]Hu, H.-T., "Influence of In-plane Shear Nonlinearity on Buckling and Postbuckling Responses of Composite Laminate Plates and Shells", Journal of Composite Materials, Vol. 27, pp. 138-151, 1993.

[17]Icten, B.-M. and Sayman, O. "Failure analysis of pin-loaded aluminum-glass-epoxysandwich composite plates", Composites Science and Technology,Vol. 63 , pp. 727–737, 2003.

[18]Kenaga D., Doyle, J.-F. and Sun, C.-T., "The Characterization of Boron/Aluminum Composite in the Nonlinear Range as an Orthotropic Elastic-Plastic Material", Journal of Composite Materials, Vol. 21, pp. 516-531, 1987.

[19]Konish, H.-J. and Whitney, J.-M. "Approximate Stresses in an Orthotropic Plate Containing a Circular Hole", Journal of Composite Materials, Vol. 9, pp. 157-166, 1975.

[20]Lee, J.-D., "Three Dimensional Finite Element Analysis of Damage Accumulation in Composite Laminate", Computers & Structures, Vol. 15, pp. 335-350, 1982.

[21]Liu, K.-S. and Tsai, S.-W., "A Progressive Quadratic Failure Criterion of a Laminate", Composites Science and Technology, Vol. 58, pp. 1023-1032, 1998.

[22]Okutan, B. "The effects of geometric parameter on the failure strength for pin-loaded multi-directional fiber-glass reinforced epoxy laminate", Composites:Part B , Vol. 33, pp. 567-578, 2002

[23]Petit, P.-H. and Waddoups, M.-E., "A Method of Predicting the Nonlinear Behavior of Laminated Composites", Journal of Composite Materials, Vol. 3, pp. 2-19, 1969.

[24]Rotem, A., "Prediction of Laminate Failure with the Rotem Failure Criterion", Composites Science and Technology, Vol. 58, pp. 1083-1094, 1998.

[25]Rotem, A. and Nelson, H.-G., "Fatigue Behavior of Graphite-Epoxy Laminate at Elevated Temperatures", ASTM STP 723, pp. 152-173, 1981.

[26]Rowlands, R.-E., "Strength (Failure) Theories and Their Experimental Correlation", Failure Mechanics of Composites, Elsevier, Amsterdam, pp. 71-125, 1985.

[27]Soden, P.-D., Kitching, R. and Tse, P.-C., "Experimental Failure Stresses for Filament Wound Glass Fibre Reinforced Plastic Tubes under Biaxial Loads", Composites, Vol. 20, pp. 125-135, 1989.

[28]Sun, C.-T. and Chen, J.-L., "A Simple Flow Rule for Characterizing Nonlinear Behavior of Fiber Composite", Journal of Composite Materials, Vol. 23, pp. 1009-1020, 1989.

[29]Tan, S.-C. "Effective Stress Fracture Models for Unnotched and Notched Multidirectional Laminates", Journal of Composite Materials, Vol. 22, pp. 322-340, 1988.

[30]Tan, S.-C. "Laminated Composites Containing an Elliptical Opening. I-Approximate Stress Analysis and Fracture Models", Journal of Composite Materials, Vol. 21, pp. 925-948, 1987.

[31]Tan, S.-C. "Notched Strength Prediction and Design Laminated Composite Under In-Plane Loadings", Journal of Composite Materials, Vol. 21, pp. 750-780, 1987.

[32]Tan, S.-C. "Tensile and Compressive Notched Strength of PEEK Matrix Composite Laminates", Journal of Reinforced Plastics and Composite, Vol. 6, pp. 253-267, 1987.

[33]Tsai, S.-W. and Wu, E.-M., "A General Theory of Strength for Anisotropic Materials", Journal of Composite Materials, Vol. 5, pp. 58-80, 1971.

[34]Vaziri, R., Olson, M.-D. and Anderson, D.-L., "A Plasticity-Based Constitutive Model for Fibre-Reinforced Composite Laminates", Journal of Composite Materials, Vol. 25, pp. 512-535, 1991.

[35]Whitworth, H.-A., Othienob, M. and Bartonc, O. "Failure analysis of composite pin loaded joints", Composite Structures,Vol. 59, pp. 261-266, 2003.

[36]林文賓，『纖維複材疊層板在單軸及雙軸張力載重下之非線性破壞分析』，國立成功大學土木工程學系，博士論文，中華民國九十年十二月。

[37]柯龍聖，『纖維複材疊層板在單軸壓力載重下之非線性破壞分析』，國立成功大學土木工程學系，碩士論文，中華民國九十一年六月。

[38]杜方泰，『纖維複材疊層板在雙軸載重下之非線性破壞分析』，國立成功大學土木工程學系，碩士論文，中華民國九十二年六月。

[39]李凱元，『開孔纖維複材疊層板受單軸壓力之非線性破壞分析』，國立成功大學土木工程學系，碩士論文，中華民國九十三年六月。