在本篇研究當中，使用一套非線性破壞分析模式，針對纖維加強開孔複合材料疊層板承受單軸壓力作用下，進行材料之破壞預測及分析探討。此非線性破壞分析模式包含三部分：材料破壞前的非線性組成律、預測破壞時機的混合破壞準則以及後破壞分析模式。

　　對於開孔複材單層板破壞前之非線性行為模擬，係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描述之。至於破壞時機之判斷，則使用了結合Tsai-Wu破壞準則及最大應力準則之混合破壞準則作依據。最後，在後破壞行為中，對單層板軸向及剪力之行為假設成脆性破壞模式，而側向則採用逐降模式模擬之。

　　最後，對於該非線性破壞分析模式所預測之結果，將分別與開孔複材疊層板之實驗數據結果做比較，以證明纖維加強開孔複合材料疊層板在單軸壓力作用下，本文所建議之分析模式正確且合理。

none

[1] Azzi, V. D. and Tsai, S. W., "Anisotropic Strength of Composite," Exp. Mech., Vol.5, pp. 283-288, 1965.
[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] 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.
[4] 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.
[5] 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.
[6] 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.
[7] Chang, F.-K., Liu Sheng 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.
[8] Edge, E. C., "Final Report on P.V. Funded Portion of CFC Basic Technology Programme", Bae Report SOR(P)177, October 1987, with Addendum 1, February, 1989.
[9] Hill, R., "The Mathematical Theory of Plasticity", Oxford University Press, London, 1950.
[10] Hoffman, O., "The Brittle Strength of Orthotropic Material", Journal of Composite Materials, Vol.1, pp.200-206, 1967.
[11] Hahn, H. T., "Nonlinear Behavior of Laminated Composites", Journal of Composite Materials, Vol.7, pp.257-271, 1973.
[12] Hahn, H. T. and Tsai, S. W., "Nonlinear Elastic Behavior of Unidirectional Composite Laminates", Journal of Composite Materials, Vol.7, pp.102-118, 1973.
[13] Hashin, Z., "Failure Criteria for Unidirectional Fiber Composites", J. Appl. Mech., Vol.47, pp.329-334, 1980.
[14] 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.
[15] 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.
[16] Lee, J. D., "Three Dimensional Finite Element Analysis of Damage Accumulation in Composite Laminate", Computers & Structures, Vol.15, pp.335-350, 1982.
[17] Liu, K.-S. and Tsai, S. W., "A Progressive Quadratic Failure Criterion of a Laminate", Composites Science and Technology, Vol.58(7), pp.1023-1032, 1998.
[18] 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.
[19] Rotem, A. and Nelson, H. G., "Fatigue Behavior of Graphite-Epoxy Laminate at Elevated Temperatures", ASTM STP 723, pp.152-173, 1981
[20] Rowlands, R. E., "Strength (Failure) Theories and Their Experimental Correlation", in: G. C. Sih and A. M. Skudra (eds.), Failure Mechanics of Composites, Elsevier, Amsterdam, pp.71-125, 1985.
[21] Rotem, A., "Prediction of Laminate Failure with the Rotem Failure Criterion", Composites Science and Technology, Vol.58(7), pp.1083-1094, 1998.
[22] 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(2), pp.125-135, 1989.
[23] 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.
[24] 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.
[25] 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
[26] S.C. Tan, "Tensile and Compressive Notched Strength of PEEK Matrix Composite Laminates", Journal of Reinforced Plastics and Composite, Vol.6, pp.253-267, 1987
[27] S.C. Tan, "Notched Strength Prediction and Design Laminated Composite Under In-Plane Loadings", Journal of Composite Materials, Vol.21, pp.750-780, 1987
[28] S.C. Tan, " Laminated Composites Containing an Elliptical Opening. I-Approximate Stress Analysis and Fracture Models", Journal of Composite Materials, Vol.21, pp.925-948, 1987
[29] S.C. Tan, " Laminated Composites Containing an Elliptical Opening. Ⅱ-Experiment and Model Modification", Journal of Composite Materials, Vol.21, pp.949-968, 1987
[30] S.C. Tan, "Effective Stress Fracture Models for Unnotched and Notched Multidirectional Laminates ", Journal of Composite Materials, Vol.22, pp.322-340, 1988
[31] Harold J. Konish and James M. Whitney, "Approximate Stresses in an Orthotropic Plate Containing a Circular Hole", Journal of Composite Materials, Vol.9, pp.157-166, 1975
[32] Jan Backlund and Carl-Guataf Aronsson, "Tensile Fracture of Laminates with Holes", Journal of Composite Materials, Vol.20, pp.259-281, 1988
[33] Akbar Afaghi-Khatibi, Lin Ye and Yiu-Wing Mai, "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
[34] Buket Okutan, "The effects of geometric parameter on the failure strength for pin-loaded multi-directional fiber-glass reinforced epoxy laminate", Composites：part B 33, pp.567-578, 2002
[35] Hakan Kilic and Rami Haj-Ali, "Progressive damage and nonlinear analysis of pultruded composite structures", Composites：part B 34, pp.235-250, 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。